2023
|
Ethabet, Haifa; Dadi, Leila; Raissi, Tarek; Aoun, Mohamed L∞ Set-membership Estimation for Continuous-time Switched Linear Systems Conférence 2023. @conference{Ethabet2023b,
title = {L∞ Set-membership Estimation for Continuous-time Switched Linear Systems},
author = {Haifa Ethabet and Leila Dadi and Tarek Raissi and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85182931405\&doi=10.1109%2fIW_MSS59200.2023.10369668\&partnerID=40\&md5=2fb780affae1b8628f3f526c9cabfef7},
doi = {10.1109/IW_MSS59200.2023.10369668},
year = {2023},
date = {2023-01-01},
journal = {2023 IEEE International Workshop on Mechatronics Systems Supervision, IW_MSS 2023},
abstract = {In this work, we focuses on the problem of designing an interval state estimation for continuous-time Switched Linear Systems (SLS) in the Unknown But Bounded Error (UBBE) context. To do so, we design a new structure of interval observers by introducing weighted matrices not only to give more degrees of design freedom but also to attenuate the conservatism caused by uncertainties. Observer gains are derived from the solution of Linear Matrix Inequalities (LMIs), based on the use of a common Lyapunov function, to ensure cooperativity and stability. An L∞ technique is then introduced to compensate the measurement noise and disturbances' effects and to enhance the precision of interval estimation. Finally, numerical simulations are given, evaluating the proposed methodology and demonstrating its effectiveness. © 2023 IEEE.},
keywords = {Bounded error context, Continous time, Continuous time systems, Continuous-time switched system, Interval observers, Linear matrix inequalities, Linear systems, Lyapunov functions, L∞ technique, matrix, Set-membership estimation, State estimation, Switched linear system, Switched system, Unknown but bounded},
pubstate = {published},
tppubtype = {conference}
}
In this work, we focuses on the problem of designing an interval state estimation for continuous-time Switched Linear Systems (SLS) in the Unknown But Bounded Error (UBBE) context. To do so, we design a new structure of interval observers by introducing weighted matrices not only to give more degrees of design freedom but also to attenuate the conservatism caused by uncertainties. Observer gains are derived from the solution of Linear Matrix Inequalities (LMIs), based on the use of a common Lyapunov function, to ensure cooperativity and stability. An L∞ technique is then introduced to compensate the measurement noise and disturbances’ effects and to enhance the precision of interval estimation. Finally, numerical simulations are given, evaluating the proposed methodology and demonstrating its effectiveness. © 2023 IEEE. |
Aloui, Messaoud; Hamidi, Faical; Jerbi, Houssem; Aoun, Mohamed Estimating and enlarging the domain of attraction for polynomial systems using a deep learning tool Conférence 2023. @conference{Aloui2023b,
title = {Estimating and enlarging the domain of attraction for polynomial systems using a deep learning tool},
author = {Messaoud Aloui and Faical Hamidi and Houssem Jerbi and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85182927297\&doi=10.1109%2fIW_MSS59200.2023.10369522\&partnerID=40\&md5=244fee6b04ee656e55d354fe1fac648e},
doi = {10.1109/IW_MSS59200.2023.10369522},
year = {2023},
date = {2023-01-01},
journal = {2023 IEEE International Workshop on Mechatronics Systems Supervision, IW_MSS 2023},
abstract = {This Paper deals with the topic of non linear polynomial systems. It explains a way to estimate and enlarge the region of attraction of nonlinear polynomial systems. It provides a deep learning method for estimating the domain of attraction and uses the Particle Swarm Optimization Algorithm to enlarge this domain. Based on an analytic method found in literature, a dataset is generated, used then to train an artificial neural network, which will be an objective function of an optimization algorithm. This method dives an imitation to a previous complicated method, with less complexity and les elapsed time. The benchmark examples show the efficiency of the method and compare results with those obtained with the one using linear matrix inequalities. © 2023 IEEE.},
keywords = {Deep learning, Domain of attraction, Learning systems, Learning tool, Linear matrix inequalities, Linear polynomials, Lyapunov functions, Lyapunov's functions, Neural networks, Non linear, Particle swarm, Particle swarm optimization, Particle swarm optimization (PSO), Polynomial systems, Polynomials, Swarm intelligence, Swarm optimization},
pubstate = {published},
tppubtype = {conference}
}
This Paper deals with the topic of non linear polynomial systems. It explains a way to estimate and enlarge the region of attraction of nonlinear polynomial systems. It provides a deep learning method for estimating the domain of attraction and uses the Particle Swarm Optimization Algorithm to enlarge this domain. Based on an analytic method found in literature, a dataset is generated, used then to train an artificial neural network, which will be an objective function of an optimization algorithm. This method dives an imitation to a previous complicated method, with less complexity and les elapsed time. The benchmark examples show the efficiency of the method and compare results with those obtained with the one using linear matrix inequalities. © 2023 IEEE. |
Ethabet, Haifa; Dadi, Leila; Raissi, Tarek; Aoun, Mohamed L∞ Set-membership Estimation for Continuous-time Switched Linear Systems Conférence 2023. @conference{Ethabet2023,
title = {L∞ Set-membership Estimation for Continuous-time Switched Linear Systems},
author = {Haifa Ethabet and Leila Dadi and Tarek Raissi and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85182931405\&doi=10.1109%2fIW_MSS59200.2023.10369668\&partnerID=40\&md5=2fb780affae1b8628f3f526c9cabfef7},
doi = {10.1109/IW_MSS59200.2023.10369668},
year = {2023},
date = {2023-01-01},
journal = {2023 IEEE International Workshop on Mechatronics Systems Supervision, IW_MSS 2023},
abstract = {In this work, we focuses on the problem of designing an interval state estimation for continuous-time Switched Linear Systems (SLS) in the Unknown But Bounded Error (UBBE) context. To do so, we design a new structure of interval observers by introducing weighted matrices not only to give more degrees of design freedom but also to attenuate the conservatism caused by uncertainties. Observer gains are derived from the solution of Linear Matrix Inequalities (LMIs), based on the use of a common Lyapunov function, to ensure cooperativity and stability. An L∞ technique is then introduced to compensate the measurement noise and disturbances' effects and to enhance the precision of interval estimation. Finally, numerical simulations are given, evaluating the proposed methodology and demonstrating its effectiveness. © 2023 IEEE.},
keywords = {Bounded error context, Continous time, Continuous time systems, Continuous-time switched system, Interval observers, Linear matrix inequalities, Linear systems, Lyapunov functions, L∞ technique, matrix, Set-membership estimation, State estimation, Switched linear system, Switched system, Unknown but bounded},
pubstate = {published},
tppubtype = {conference}
}
In this work, we focuses on the problem of designing an interval state estimation for continuous-time Switched Linear Systems (SLS) in the Unknown But Bounded Error (UBBE) context. To do so, we design a new structure of interval observers by introducing weighted matrices not only to give more degrees of design freedom but also to attenuate the conservatism caused by uncertainties. Observer gains are derived from the solution of Linear Matrix Inequalities (LMIs), based on the use of a common Lyapunov function, to ensure cooperativity and stability. An L∞ technique is then introduced to compensate the measurement noise and disturbances’ effects and to enhance the precision of interval estimation. Finally, numerical simulations are given, evaluating the proposed methodology and demonstrating its effectiveness. © 2023 IEEE. |
Aloui, Messaoud; Hamidi, Faical; Jerbi, Houssem; Aoun, Mohamed Estimating and enlarging the domain of attraction for polynomial systems using a deep learning tool Conférence 2023. @conference{Aloui2023,
title = {Estimating and enlarging the domain of attraction for polynomial systems using a deep learning tool},
author = {Messaoud Aloui and Faical Hamidi and Houssem Jerbi and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85182927297\&doi=10.1109%2fIW_MSS59200.2023.10369522\&partnerID=40\&md5=244fee6b04ee656e55d354fe1fac648e},
doi = {10.1109/IW_MSS59200.2023.10369522},
year = {2023},
date = {2023-01-01},
journal = {2023 IEEE International Workshop on Mechatronics Systems Supervision, IW_MSS 2023},
abstract = {This Paper deals with the topic of non linear polynomial systems. It explains a way to estimate and enlarge the region of attraction of nonlinear polynomial systems. It provides a deep learning method for estimating the domain of attraction and uses the Particle Swarm Optimization Algorithm to enlarge this domain. Based on an analytic method found in literature, a dataset is generated, used then to train an artificial neural network, which will be an objective function of an optimization algorithm. This method dives an imitation to a previous complicated method, with less complexity and les elapsed time. The benchmark examples show the efficiency of the method and compare results with those obtained with the one using linear matrix inequalities. © 2023 IEEE.},
keywords = {Deep learning, Domain of attraction, Learning systems, Learning tool, Linear matrix inequalities, Linear polynomials, Lyapunov functions, Lyapunov's functions, Neural networks, Non linear, Particle swarm, Particle swarm optimization, Particle swarm optimization (PSO), Polynomial systems, Polynomials, Swarm intelligence, Swarm optimization},
pubstate = {published},
tppubtype = {conference}
}
This Paper deals with the topic of non linear polynomial systems. It explains a way to estimate and enlarge the region of attraction of nonlinear polynomial systems. It provides a deep learning method for estimating the domain of attraction and uses the Particle Swarm Optimization Algorithm to enlarge this domain. Based on an analytic method found in literature, a dataset is generated, used then to train an artificial neural network, which will be an objective function of an optimization algorithm. This method dives an imitation to a previous complicated method, with less complexity and les elapsed time. The benchmark examples show the efficiency of the method and compare results with those obtained with the one using linear matrix inequalities. © 2023 IEEE. |
2022
|
Dadi, Leila; Ethabet, Haifa; Aoun, Mohamed Set-Membership Fault Detection for Discrete-time Switched Linear Systems Conférence 2022, (Cited by: 0). @conference{Dadi2022190b,
title = {Set-Membership Fault Detection for Discrete-time Switched Linear Systems},
author = {Leila Dadi and Haifa Ethabet and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85143822450\&doi=10.1109%2fSSD54932.2022.9955834\&partnerID=40\&md5=845297a35126246541ad5d43c4f68b5e},
doi = {10.1109/SSD54932.2022.9955834},
year = {2022},
date = {2022-01-01},
journal = {2022 19th IEEE International Multi-Conference on Systems, Signals and Devices, SSD 2022},
pages = {190 \textendash 194},
abstract = {This work deals with Fault Detection (FD) for a class of discrete-time switched linear systems with actuator faults subject to bounded disturbances. First, based on cooperativity and stability conditions and under the assumption that disturbances and measurement noise are unknown but bounded, upper and lower bounds of the state are calculated using an interval observer. The design conditions of the observer are expressed in terms of Linear Matrix Inequalities (LMIs). Second, a fault detection decision is developed to indicate the presence of faults using interval analysis. Simulation results are provided to illustrate the performance of the proposed fault detection approach. © 2022 IEEE.},
note = {Cited by: 0},
keywords = {Actuator fault, Actuators, Bounded disturbances, Cooperativity, Discrete time, Fault detection, Faults detection, Interval observers, Linear matrix inequalities, Linear systems, Set-membership, Stability condition, Switched linear system, Switched system},
pubstate = {published},
tppubtype = {conference}
}
This work deals with Fault Detection (FD) for a class of discrete-time switched linear systems with actuator faults subject to bounded disturbances. First, based on cooperativity and stability conditions and under the assumption that disturbances and measurement noise are unknown but bounded, upper and lower bounds of the state are calculated using an interval observer. The design conditions of the observer are expressed in terms of Linear Matrix Inequalities (LMIs). Second, a fault detection decision is developed to indicate the presence of faults using interval analysis. Simulation results are provided to illustrate the performance of the proposed fault detection approach. © 2022 IEEE. |
Dadi, Leila; Ethabet, Haifa; Aoun, Mohamed Set-Membership Fault Detection for Discrete-time Switched Linear Systems Conférence 2022, (Cited by: 0). @conference{Dadi2022190,
title = {Set-Membership Fault Detection for Discrete-time Switched Linear Systems},
author = {Leila Dadi and Haifa Ethabet and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85143822450\&doi=10.1109%2fSSD54932.2022.9955834\&partnerID=40\&md5=845297a35126246541ad5d43c4f68b5e},
doi = {10.1109/SSD54932.2022.9955834},
year = {2022},
date = {2022-01-01},
journal = {2022 19th IEEE International Multi-Conference on Systems, Signals and Devices, SSD 2022},
pages = {190 \textendash 194},
abstract = {This work deals with Fault Detection (FD) for a class of discrete-time switched linear systems with actuator faults subject to bounded disturbances. First, based on cooperativity and stability conditions and under the assumption that disturbances and measurement noise are unknown but bounded, upper and lower bounds of the state are calculated using an interval observer. The design conditions of the observer are expressed in terms of Linear Matrix Inequalities (LMIs). Second, a fault detection decision is developed to indicate the presence of faults using interval analysis. Simulation results are provided to illustrate the performance of the proposed fault detection approach. © 2022 IEEE.},
note = {Cited by: 0},
keywords = {Actuator fault, Actuators, Bounded disturbances, Cooperativity, Discrete time, Fault detection, Faults detection, Interval observers, Linear matrix inequalities, Linear systems, Set-membership, Stability condition, Switched linear system, Switched system},
pubstate = {published},
tppubtype = {conference}
}
This work deals with Fault Detection (FD) for a class of discrete-time switched linear systems with actuator faults subject to bounded disturbances. First, based on cooperativity and stability conditions and under the assumption that disturbances and measurement noise are unknown but bounded, upper and lower bounds of the state are calculated using an interval observer. The design conditions of the observer are expressed in terms of Linear Matrix Inequalities (LMIs). Second, a fault detection decision is developed to indicate the presence of faults using interval analysis. Simulation results are provided to illustrate the performance of the proposed fault detection approach. © 2022 IEEE. |
2020
|
Ethabet, Haifa; Raissi, Tarek; Amairi, Messaoud; Aoun, Mohamed Fault Detection and Isolation for Continuous-Time Switched Linear Systems: A Set Membership Approach Conférence 2020, (Cited by: 1). @conference{Ethabet2020279b,
title = {Fault Detection and Isolation for Continuous-Time Switched Linear Systems: A Set Membership Approach},
author = {Haifa Ethabet and Tarek Raissi and Messaoud Amairi and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85103019738\&doi=10.1109%2fSSD49366.2020.9364097\&partnerID=40\&md5=e2297b397f94ac2755b2faf5d9e3ab2e},
doi = {10.1109/SSD49366.2020.9364097},
year = {2020},
date = {2020-01-01},
journal = {Proceedings of the 17th International Multi-Conference on Systems, Signals and Devices, SSD 2020},
pages = {279 \textendash 284},
abstract = {In this paper, the problem of Fault Detection and Isolation (FDI) is investigated for continuous-Time switched linear systems via a set-membership approach. Under the fulfillment of the relative degree property by all the subsystems, the proposed solution is based on the use of a bank of interval unknown input observers. Under the assumption that disturbances and measurement noise are unknown but bounded with a priori known bounds, cooperativity and stability conditions are given in terms of Linear Matrix Inequalities (LMIs) with the fulfillment of an Average Dwell Time (ADT) constraints. Then, upper and lower residuals are computed. A numerical example illustrating the validity of the method in fault detection and isolation is given. © 2020 IEEE.},
note = {Cited by: 1},
keywords = {Average dwell time, Continuous time systems, Fault detection, Fault detection and isolation, Linear matrix inequalities, Linear systems, Measurement Noise, Numerical methods, Set membership approach, Stability condition, Switched linear system, Unknown but bounded, Unknown input observer},
pubstate = {published},
tppubtype = {conference}
}
In this paper, the problem of Fault Detection and Isolation (FDI) is investigated for continuous-Time switched linear systems via a set-membership approach. Under the fulfillment of the relative degree property by all the subsystems, the proposed solution is based on the use of a bank of interval unknown input observers. Under the assumption that disturbances and measurement noise are unknown but bounded with a priori known bounds, cooperativity and stability conditions are given in terms of Linear Matrix Inequalities (LMIs) with the fulfillment of an Average Dwell Time (ADT) constraints. Then, upper and lower residuals are computed. A numerical example illustrating the validity of the method in fault detection and isolation is given. © 2020 IEEE. |
2019
|
Gasmi, Noussaiba; Boutayeb, Mohamed; Thabet, Assem; Aoun, Mohamed Sliding Window Based Nonlinear H∞ Filtering: Design and Experimental Results Article de journal Dans: IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 66, no. 2, p. 302 – 306, 2019, (Cited by: 10). @article{Gasmi2019302b,
title = {Sliding Window Based Nonlinear H∞ Filtering: Design and Experimental Results},
author = {Noussaiba Gasmi and Mohamed Boutayeb and Assem Thabet and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85050603622\&doi=10.1109%2fTCSII.2018.2859484\&partnerID=40\&md5=1454e440710ca08b8633683093bb07aa},
doi = {10.1109/TCSII.2018.2859484},
year = {2019},
date = {2019-01-01},
journal = {IEEE Transactions on Circuits and Systems II: Express Briefs},
volume = {66},
number = {2},
pages = {302 \textendash 306},
abstract = {This brief discusses a new linear matrix inequality (LMI)-based $boldsymbol mathcal Hboldsymbol ınfty $ filter for a class of one-sided Lipschitz discrete-time systems. Due to the introduction of a sliding window of delayed measurements, new LMI conditions are proposed. Indeed, the previous measurements allow increasing the number of decision variables in the LMIs, which render it more general and less conservative than those established by using the standard Luenberger structure of the filter. Analytical and numerical comparisons are provided to demonstrate the superiority of the proposed filter with respect to the standard one. Finally, simulation results and real-time implementation have been presented to illustrate the performances of the new filter. © 2004-2012 IEEE.},
note = {Cited by: 10},
keywords = {ARDUINO MEGA 2560, Delayed measurements, Digital control systems, Discrete - time systems, Discrete time control systems, Linear matrix inequalities, Numerical comparison, One-sided Lipschitz condition, Quadratic inner-boundedness, Real time control, Real-time implementations, Sliding window-based},
pubstate = {published},
tppubtype = {article}
}
This brief discusses a new linear matrix inequality (LMI)-based $boldsymbol mathcal Hboldsymbol ınfty $ filter for a class of one-sided Lipschitz discrete-time systems. Due to the introduction of a sliding window of delayed measurements, new LMI conditions are proposed. Indeed, the previous measurements allow increasing the number of decision variables in the LMIs, which render it more general and less conservative than those established by using the standard Luenberger structure of the filter. Analytical and numerical comparisons are provided to demonstrate the superiority of the proposed filter with respect to the standard one. Finally, simulation results and real-time implementation have been presented to illustrate the performances of the new filter. © 2004-2012 IEEE. |
Atitallah, Halima; Aribi, Asma; Aoun, Mohamed Fault estimation using adaptive observer-based technique for time delay fractional-order systems Conférence 2019, (Cited by: 0). @conference{Atitallah2019399b,
title = {Fault estimation using adaptive observer-based technique for time delay fractional-order systems},
author = {Halima Atitallah and Asma Aribi and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85074421838\&doi=10.1109%2fASET.2019.8871006\&partnerID=40\&md5=ee4994e2c9873cf3aca7262af2383d7b},
doi = {10.1109/ASET.2019.8871006},
year = {2019},
date = {2019-01-01},
journal = {Proceedings of International Conference on Advanced Systems and Emergent Technologies, IC_ASET 2019},
pages = {399 \textendash 405},
abstract = {This paper proposes a technique to detect and estimate faults for fractional-order systems with time delay. Two observers are used in this method. Indeed, a time-delay fractional Luenberger observer is generated to detect fault. An adaptive fractional order with time delay observer is then constructed to estimate the fault by providing an on-line estimation algorithm. The convergence criteria of this observer is expressed via linear matrix inequalities (LMIs) by the use of a specific Lyapunov function considering the continuous frequency disturbed model. The validity of the fault detection and estimation technique is shown by a numerical example. © 2019 IEEE.},
note = {Cited by: 0},
keywords = {Adaptive observer, Continuous frequency, Convergence criterion, Detection and estimation, Fault detection, Fault estimation, Fractional systems, Fractional-order systems, Linear matrix inequalities, Luenberger observers, Lyapunov functions, Numerical methods, Time delay, Timing circuits},
pubstate = {published},
tppubtype = {conference}
}
This paper proposes a technique to detect and estimate faults for fractional-order systems with time delay. Two observers are used in this method. Indeed, a time-delay fractional Luenberger observer is generated to detect fault. An adaptive fractional order with time delay observer is then constructed to estimate the fault by providing an on-line estimation algorithm. The convergence criteria of this observer is expressed via linear matrix inequalities (LMIs) by the use of a specific Lyapunov function considering the continuous frequency disturbed model. The validity of the fault detection and estimation technique is shown by a numerical example. © 2019 IEEE. |
Gasmi, Noussaiba; Thabet, Assem; Aoun, Mohamed New LMI Conditions for Reduced-order Observer of Lipschitz Discrete-time Systems: Numerical and Experimental Results Article de journal Dans: International Journal of Automation and Computing, vol. 16, no. 5, p. 644 – 654, 2019, (Cited by: 0). @article{Gasmi2019644b,
title = {New LMI Conditions for Reduced-order Observer of Lipschitz Discrete-time Systems: Numerical and Experimental Results},
author = {Noussaiba Gasmi and Assem Thabet and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85057734907\&doi=10.1007%2fs11633-018-1160-9\&partnerID=40\&md5=a59f55a58c80e70a9e558a9447f905be},
doi = {10.1007/s11633-018-1160-9},
year = {2019},
date = {2019-01-01},
journal = {International Journal of Automation and Computing},
volume = {16},
number = {5},
pages = {644 \textendash 654},
abstract = {The objective of this paper is to propose a reduced-order observer for a class of Lipschitz nonlinear discrete-time systems. The conditions that guarantee the existence of this observer are presented in the form of linear matrix inequalities (LMIs). To handle the Lipschitz nonlinearities, the Lipschitz condition and the Young′s relation are adequately operated to add more degrees of freedom to the proposed LMI. Necessary and sufficient conditions for the existence of the unbiased reduced-order observer are given. An extension to H∞ performance analysis is considered in order to deal with H∞ asymptotic stability of the estimation error in the presence of disturbances that affect the state of the system. To highlight the effectiveness of the proposed design methodology, three numerical examples are considered. Then, high performances are shown through real time implementation using the ARDUINO MEGA 2560 device. © 2018, Institute of Automation, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature.},
note = {Cited by: 0},
keywords = {Arduino, Asymptotic stability, Degrees of freedom (mechanics), Digital control systems, Discrete - time systems, Discrete time control systems, Linear matrix inequalities, Lipschitz systems, Performance analysis, Real time control, Reduced order observers},
pubstate = {published},
tppubtype = {article}
}
The objective of this paper is to propose a reduced-order observer for a class of Lipschitz nonlinear discrete-time systems. The conditions that guarantee the existence of this observer are presented in the form of linear matrix inequalities (LMIs). To handle the Lipschitz nonlinearities, the Lipschitz condition and the Young′s relation are adequately operated to add more degrees of freedom to the proposed LMI. Necessary and sufficient conditions for the existence of the unbiased reduced-order observer are given. An extension to H∞ performance analysis is considered in order to deal with H∞ asymptotic stability of the estimation error in the presence of disturbances that affect the state of the system. To highlight the effectiveness of the proposed design methodology, three numerical examples are considered. Then, high performances are shown through real time implementation using the ARDUINO MEGA 2560 device. © 2018, Institute of Automation, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature. |
Ethabet, Haifa; Raïssi, Tarek; Amairi, Messaoud; Aoun, Mohamed Set-Membership Fault Detection for Continuous-time Switched Linear Systems Conférence 2019, (Cited by: 7). @conference{Ethabet2019406b,
title = {Set-Membership Fault Detection for Continuous-time Switched Linear Systems},
author = {Haifa Ethabet and Tarek Ra\"{i}ssi and Messaoud Amairi and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85074402785\&doi=10.1109%2fASET.2019.8870992\&partnerID=40\&md5=d92dcb337b52e6a06fd5caf02b00c0c0},
doi = {10.1109/ASET.2019.8870992},
year = {2019},
date = {2019-01-01},
journal = {Proceedings of International Conference on Advanced Systems and Emergent Technologies, IC_ASET 2019},
pages = {406 \textendash 411},
abstract = {The problem of Fault Detection (FD) for continuous-time switched linear systems subject to bounded disturbances is investigated in this paper. Based on cooperativity and stability properties, and fulfillment of an Average Dwell Time (ADT) constraint, guaranteed upper and lower bounds of the state are calculated using an interval observer. Under the assumption that disturbances and measurement noise are unknown but bounded with a priori known bounds, stability criteria is expressed in terms of Linear Matrix Inequalities (LMIs). Then, a fault detection methodology is developed to indicate the presence of faults. Finally, we demonstrate the proposed fault detection approach via an illustrative example. © 2019 IEEE.},
note = {Cited by: 7},
keywords = {Bounded disturbances, Continuous time systems, Continuous-time, Fault detection, Linear matrix inequalities, Linear systems, Set membership, Stability criteria, Stability properties, Switched linear system, Switched system, Unknown but bounded, Upper and lower bounds},
pubstate = {published},
tppubtype = {conference}
}
The problem of Fault Detection (FD) for continuous-time switched linear systems subject to bounded disturbances is investigated in this paper. Based on cooperativity and stability properties, and fulfillment of an Average Dwell Time (ADT) constraint, guaranteed upper and lower bounds of the state are calculated using an interval observer. Under the assumption that disturbances and measurement noise are unknown but bounded with a priori known bounds, stability criteria is expressed in terms of Linear Matrix Inequalities (LMIs). Then, a fault detection methodology is developed to indicate the presence of faults. Finally, we demonstrate the proposed fault detection approach via an illustrative example. © 2019 IEEE. |
Gasmi, Noussaiba; Boutayeb, Mohamed; Thabet, Assem; Aoun, Mohamed Sliding Window Based Nonlinear H∞ Filtering: Design and Experimental Results Article de journal Dans: IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 66, no. 2, p. 302 – 306, 2019, (Cited by: 10). @article{Gasmi2019302,
title = {Sliding Window Based Nonlinear H∞ Filtering: Design and Experimental Results},
author = {Noussaiba Gasmi and Mohamed Boutayeb and Assem Thabet and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85050603622\&doi=10.1109%2fTCSII.2018.2859484\&partnerID=40\&md5=1454e440710ca08b8633683093bb07aa},
doi = {10.1109/TCSII.2018.2859484},
year = {2019},
date = {2019-01-01},
journal = {IEEE Transactions on Circuits and Systems II: Express Briefs},
volume = {66},
number = {2},
pages = {302 \textendash 306},
abstract = {This brief discusses a new linear matrix inequality (LMI)-based $boldsymbol mathcal Hboldsymbol ınfty $ filter for a class of one-sided Lipschitz discrete-time systems. Due to the introduction of a sliding window of delayed measurements, new LMI conditions are proposed. Indeed, the previous measurements allow increasing the number of decision variables in the LMIs, which render it more general and less conservative than those established by using the standard Luenberger structure of the filter. Analytical and numerical comparisons are provided to demonstrate the superiority of the proposed filter with respect to the standard one. Finally, simulation results and real-time implementation have been presented to illustrate the performances of the new filter. © 2004-2012 IEEE.},
note = {Cited by: 10},
keywords = {ARDUINO MEGA 2560, Delayed measurements, Digital control systems, Discrete - time systems, Discrete time control systems, Linear matrix inequalities, Numerical comparison, One-sided Lipschitz condition, Quadratic inner-boundedness, Real time control, Real-time implementations, Sliding window-based},
pubstate = {published},
tppubtype = {article}
}
This brief discusses a new linear matrix inequality (LMI)-based $boldsymbol mathcal Hboldsymbol ınfty $ filter for a class of one-sided Lipschitz discrete-time systems. Due to the introduction of a sliding window of delayed measurements, new LMI conditions are proposed. Indeed, the previous measurements allow increasing the number of decision variables in the LMIs, which render it more general and less conservative than those established by using the standard Luenberger structure of the filter. Analytical and numerical comparisons are provided to demonstrate the superiority of the proposed filter with respect to the standard one. Finally, simulation results and real-time implementation have been presented to illustrate the performances of the new filter. © 2004-2012 IEEE. |
Atitallah, Halima; Aribi, Asma; Aoun, Mohamed Fault estimation using adaptive observer-based technique for time delay fractional-order systems Conférence 2019, (Cited by: 0). @conference{Atitallah2019399,
title = {Fault estimation using adaptive observer-based technique for time delay fractional-order systems},
author = {Halima Atitallah and Asma Aribi and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85074421838\&doi=10.1109%2fASET.2019.8871006\&partnerID=40\&md5=ee4994e2c9873cf3aca7262af2383d7b},
doi = {10.1109/ASET.2019.8871006},
year = {2019},
date = {2019-01-01},
journal = {Proceedings of International Conference on Advanced Systems and Emergent Technologies, IC_ASET 2019},
pages = {399 \textendash 405},
abstract = {This paper proposes a technique to detect and estimate faults for fractional-order systems with time delay. Two observers are used in this method. Indeed, a time-delay fractional Luenberger observer is generated to detect fault. An adaptive fractional order with time delay observer is then constructed to estimate the fault by providing an on-line estimation algorithm. The convergence criteria of this observer is expressed via linear matrix inequalities (LMIs) by the use of a specific Lyapunov function considering the continuous frequency disturbed model. The validity of the fault detection and estimation technique is shown by a numerical example. © 2019 IEEE.},
note = {Cited by: 0},
keywords = {Adaptive observer, Continuous frequency, Convergence criterion, Detection and estimation, Fault detection, Fault estimation, Fractional systems, Fractional-order systems, Linear matrix inequalities, Luenberger observers, Lyapunov functions, Numerical methods, Time delay, Timing circuits},
pubstate = {published},
tppubtype = {conference}
}
This paper proposes a technique to detect and estimate faults for fractional-order systems with time delay. Two observers are used in this method. Indeed, a time-delay fractional Luenberger observer is generated to detect fault. An adaptive fractional order with time delay observer is then constructed to estimate the fault by providing an on-line estimation algorithm. The convergence criteria of this observer is expressed via linear matrix inequalities (LMIs) by the use of a specific Lyapunov function considering the continuous frequency disturbed model. The validity of the fault detection and estimation technique is shown by a numerical example. © 2019 IEEE. |
Gasmi, Noussaiba; Thabet, Assem; Aoun, Mohamed New LMI Conditions for Reduced-order Observer of Lipschitz Discrete-time Systems: Numerical and Experimental Results Article de journal Dans: International Journal of Automation and Computing, vol. 16, no. 5, p. 644 – 654, 2019, (Cited by: 0). @article{Gasmi2019644,
title = {New LMI Conditions for Reduced-order Observer of Lipschitz Discrete-time Systems: Numerical and Experimental Results},
author = {Noussaiba Gasmi and Assem Thabet and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85057734907\&doi=10.1007%2fs11633-018-1160-9\&partnerID=40\&md5=a59f55a58c80e70a9e558a9447f905be},
doi = {10.1007/s11633-018-1160-9},
year = {2019},
date = {2019-01-01},
journal = {International Journal of Automation and Computing},
volume = {16},
number = {5},
pages = {644 \textendash 654},
abstract = {The objective of this paper is to propose a reduced-order observer for a class of Lipschitz nonlinear discrete-time systems. The conditions that guarantee the existence of this observer are presented in the form of linear matrix inequalities (LMIs). To handle the Lipschitz nonlinearities, the Lipschitz condition and the Young′s relation are adequately operated to add more degrees of freedom to the proposed LMI. Necessary and sufficient conditions for the existence of the unbiased reduced-order observer are given. An extension to H∞ performance analysis is considered in order to deal with H∞ asymptotic stability of the estimation error in the presence of disturbances that affect the state of the system. To highlight the effectiveness of the proposed design methodology, three numerical examples are considered. Then, high performances are shown through real time implementation using the ARDUINO MEGA 2560 device. © 2018, Institute of Automation, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature.},
note = {Cited by: 0},
keywords = {Arduino, Asymptotic stability, Degrees of freedom (mechanics), Digital control systems, Discrete - time systems, Discrete time control systems, Linear matrix inequalities, Lipschitz systems, Performance analysis, Real time control, Reduced order observers},
pubstate = {published},
tppubtype = {article}
}
The objective of this paper is to propose a reduced-order observer for a class of Lipschitz nonlinear discrete-time systems. The conditions that guarantee the existence of this observer are presented in the form of linear matrix inequalities (LMIs). To handle the Lipschitz nonlinearities, the Lipschitz condition and the Young′s relation are adequately operated to add more degrees of freedom to the proposed LMI. Necessary and sufficient conditions for the existence of the unbiased reduced-order observer are given. An extension to H∞ performance analysis is considered in order to deal with H∞ asymptotic stability of the estimation error in the presence of disturbances that affect the state of the system. To highlight the effectiveness of the proposed design methodology, three numerical examples are considered. Then, high performances are shown through real time implementation using the ARDUINO MEGA 2560 device. © 2018, Institute of Automation, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature. |
2018
|
Gasmi, Noussaiba; Boutayeb, Mohamed; Thabet, Assem; Aoun, Mohamed Enhanced LMI conditions for observer-based H∞ stabilization of Lipschitz discrete-time systems Article de journal Dans: European Journal of Control, vol. 44, p. 80 – 89, 2018, (Cited by: 8). @article{Gasmi201880b,
title = {Enhanced LMI conditions for observer-based H∞ stabilization of Lipschitz discrete-time systems},
author = {Noussaiba Gasmi and Mohamed Boutayeb and Assem Thabet and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85055025034\&doi=10.1016%2fj.ejcon.2018.09.016\&partnerID=40\&md5=fbb82265d5034d87eb9d8b1dba9b70f5},
doi = {10.1016/j.ejcon.2018.09.016},
year = {2018},
date = {2018-01-01},
journal = {European Journal of Control},
volume = {44},
pages = {80 \textendash 89},
abstract = {This paper deals with H∞ observer-based controller design for a class of discrete-time systems with Lipschitz nonlinearities. Usually, the observer-based control synthesis for the considered class of systems leads to the feasibility of a Bilinear Matrix Inequality (BMI). Since, solving a BMI constraint has been an NP-hard optimization problem, then linearizing this constraint to get a convex one is an interesting issue because Linear Matrix Inequalities (LMIs) are easily tractable by numerical softwares (LMI Toolboxes,.). Hence, the aim of this paper is to develop a new Linear Matrix Inequality (LMI) condition, ensuring the H∞ asymptotic convergence of the observer-based controller. Due to the introduction of a slack variable technique, the usual BMI problem is equivalently transformed to a more suitable one, which leads to less conservative and more general LMI condition compared to the existing methods in the literature. Conjointly to the slack variable technique, the Lipschitz property and the Young's relation are used in a reformulated way to obtain additional decision variables in the LMI. In the aim to further relax the proposed LMI methodology, sliding windows of delayed states and measurements are included in the structures of the controller and the observer, respectively. The obtained LMI is more general and less conservative than the first one, which can be viewed as a particular solution. To show the effectiveness and superiority of the proposed methodology, some numerical examples and comparisons are provided. © 2018 European Control Association},
note = {Cited by: 8},
keywords = {Control nonlinearities, Controller designs, Controllers, Decoding, Delayed state, Digital control systems, Discrete - time systems, Discrete time control systems, Linear matrix inequalities, Linear matrix inequality approach, Lipschitz systems, Noise analyse, Observer-based controller design, Observer-based controllers, Robustness (control systems), Sliding Window, Sliding window of measurement},
pubstate = {published},
tppubtype = {article}
}
This paper deals with H∞ observer-based controller design for a class of discrete-time systems with Lipschitz nonlinearities. Usually, the observer-based control synthesis for the considered class of systems leads to the feasibility of a Bilinear Matrix Inequality (BMI). Since, solving a BMI constraint has been an NP-hard optimization problem, then linearizing this constraint to get a convex one is an interesting issue because Linear Matrix Inequalities (LMIs) are easily tractable by numerical softwares (LMI Toolboxes,.). Hence, the aim of this paper is to develop a new Linear Matrix Inequality (LMI) condition, ensuring the H∞ asymptotic convergence of the observer-based controller. Due to the introduction of a slack variable technique, the usual BMI problem is equivalently transformed to a more suitable one, which leads to less conservative and more general LMI condition compared to the existing methods in the literature. Conjointly to the slack variable technique, the Lipschitz property and the Young’s relation are used in a reformulated way to obtain additional decision variables in the LMI. In the aim to further relax the proposed LMI methodology, sliding windows of delayed states and measurements are included in the structures of the controller and the observer, respectively. The obtained LMI is more general and less conservative than the first one, which can be viewed as a particular solution. To show the effectiveness and superiority of the proposed methodology, some numerical examples and comparisons are provided. © 2018 European Control Association |
Gasmi, Noussaiba; Boutayeb, Mohamed; Thabet, Assem; Aoun, Mohamed H ∞ Sliding Window Observer Design for Lipschitz Discrete-Time Systems Conférence 2018, (Cited by: 0). @conference{Gasmi2018111b,
title = {H ∞ Sliding Window Observer Design for Lipschitz Discrete-Time Systems},
author = {Noussaiba Gasmi and Mohamed Boutayeb and Assem Thabet and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85061079973\&doi=10.1109%2fICoSC.2018.8587622\&partnerID=40\&md5=35bde69fee7112543b44587ab1dda799},
doi = {10.1109/ICoSC.2018.8587622},
year = {2018},
date = {2018-01-01},
journal = {2018 7th International Conference on Systems and Control, ICSC 2018},
pages = {111 \textendash 116},
abstract = {This paper focuses on the H ∞ observer design for Lipschitz discrete-time nonlinear systems. The main idea consists in using previous measurements in a Luenberger observer through a sliding window to obtain less restrictive constraint. Reformulations of both Lipschitz property and Young's relation are used to offer greater degree of freedom to the obtained constraint. The presented result is in the form of BMI (Bilinear Matrix Inequality) which is transformed into LMI (Linear Matrix Inequality) through an interesting approach. The resulting constraint can be easily achieved with standard software algorithms. Then, to prove the superiority of the proposed design methodology, a comparison with the classical case is presented. Numerical examples are given to illustrate the effectiveness and the high performances of the proposed filter. © 2018 IEEE.},
note = {Cited by: 0},
keywords = {Bilinear matrix inequality, Degrees of freedom (mechanics), Design, Design Methodology, Digital control systems, Discrete - time systems, Discrete time control systems, Discrete-time nonlinear systems, Linear matrix inequalities, Lipschitz property, LMI (linear matrix inequality), Luenberger observers, Restrictive constraints},
pubstate = {published},
tppubtype = {conference}
}
This paper focuses on the H ∞ observer design for Lipschitz discrete-time nonlinear systems. The main idea consists in using previous measurements in a Luenberger observer through a sliding window to obtain less restrictive constraint. Reformulations of both Lipschitz property and Young’s relation are used to offer greater degree of freedom to the obtained constraint. The presented result is in the form of BMI (Bilinear Matrix Inequality) which is transformed into LMI (Linear Matrix Inequality) through an interesting approach. The resulting constraint can be easily achieved with standard software algorithms. Then, to prove the superiority of the proposed design methodology, a comparison with the classical case is presented. Numerical examples are given to illustrate the effectiveness and the high performances of the proposed filter. © 2018 IEEE. |
Gasmi, Noussaiba; Boutayeb, Mohamed; Thabet, Assem; Aoun, Mohamed H∞ Observer-Based Controller for Lipschitz Nonlinear Discrete-Time Systems Conférence 2018, (Cited by: 0). @conference{Gasmi2018771b,
title = {H∞ Observer-Based Controller for Lipschitz Nonlinear Discrete-Time Systems},
author = {Noussaiba Gasmi and Mohamed Boutayeb and Assem Thabet and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85053453447\&doi=10.1109%2fMED.2018.8442675\&partnerID=40\&md5=5a3255b8f67c35a8dea17ac229a35652},
doi = {10.1109/MED.2018.8442675},
year = {2018},
date = {2018-01-01},
journal = {MED 2018 - 26th Mediterranean Conference on Control and Automation},
pages = {771 \textendash 775},
abstract = {Within the paper, a relevant H∞observer-based controller design for a class of Lipschitz nonlinear discrete-time systems is proposed. Usually, Bilinear Matrix Inequaities (BMIs) are obtained from the resolution of the observer-based stabilization design problem for this class of systems. Since, the resolution of a BMI is a hard task, then it is interesting to search for a convenient way to linearize the obtained conditions. Therefore, the objective of this paper is to present new Linear Matrix Inequality (LMI) conditions ensuring the convergence of the observer-based controller in a noisy context. Thanks to the introduction of a slack variable the presented LMI conditions are more general and less conservative than the existence ones. Indeed, reformulations of the Lipschitz property and Young's relation in a convenient way lead to a more relaxed new LMI. A numerical example is implemented to show high performances of the proposed design methodology with respect to some existing results. © 2018 IEEE.},
note = {Cited by: 0},
keywords = {Bilinear matrix, Controllers, Design Methodology, Design problems, Digital control systems, Discrete time control systems, Linear matrix inequalities, Lipschitz property, Nonlinear discrete-time systems, Observer-based, Observer-based controllers, Robustness (control systems), Slack variables},
pubstate = {published},
tppubtype = {conference}
}
Within the paper, a relevant H∞observer-based controller design for a class of Lipschitz nonlinear discrete-time systems is proposed. Usually, Bilinear Matrix Inequaities (BMIs) are obtained from the resolution of the observer-based stabilization design problem for this class of systems. Since, the resolution of a BMI is a hard task, then it is interesting to search for a convenient way to linearize the obtained conditions. Therefore, the objective of this paper is to present new Linear Matrix Inequality (LMI) conditions ensuring the convergence of the observer-based controller in a noisy context. Thanks to the introduction of a slack variable the presented LMI conditions are more general and less conservative than the existence ones. Indeed, reformulations of the Lipschitz property and Young’s relation in a convenient way lead to a more relaxed new LMI. A numerical example is implemented to show high performances of the proposed design methodology with respect to some existing results. © 2018 IEEE. |
Gasmi, Noussaiba; Boutayeb, Mohamed; Thabet, Assem; Aoun, Mohamed Enhanced LMI conditions for observer-based H∞ stabilization of Lipschitz discrete-time systems Article de journal Dans: European Journal of Control, vol. 44, p. 80 – 89, 2018, (Cited by: 8). @article{Gasmi201880,
title = {Enhanced LMI conditions for observer-based H∞ stabilization of Lipschitz discrete-time systems},
author = {Noussaiba Gasmi and Mohamed Boutayeb and Assem Thabet and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85055025034\&doi=10.1016%2fj.ejcon.2018.09.016\&partnerID=40\&md5=fbb82265d5034d87eb9d8b1dba9b70f5},
doi = {10.1016/j.ejcon.2018.09.016},
year = {2018},
date = {2018-01-01},
journal = {European Journal of Control},
volume = {44},
pages = {80 \textendash 89},
abstract = {This paper deals with H∞ observer-based controller design for a class of discrete-time systems with Lipschitz nonlinearities. Usually, the observer-based control synthesis for the considered class of systems leads to the feasibility of a Bilinear Matrix Inequality (BMI). Since, solving a BMI constraint has been an NP-hard optimization problem, then linearizing this constraint to get a convex one is an interesting issue because Linear Matrix Inequalities (LMIs) are easily tractable by numerical softwares (LMI Toolboxes,.). Hence, the aim of this paper is to develop a new Linear Matrix Inequality (LMI) condition, ensuring the H∞ asymptotic convergence of the observer-based controller. Due to the introduction of a slack variable technique, the usual BMI problem is equivalently transformed to a more suitable one, which leads to less conservative and more general LMI condition compared to the existing methods in the literature. Conjointly to the slack variable technique, the Lipschitz property and the Young's relation are used in a reformulated way to obtain additional decision variables in the LMI. In the aim to further relax the proposed LMI methodology, sliding windows of delayed states and measurements are included in the structures of the controller and the observer, respectively. The obtained LMI is more general and less conservative than the first one, which can be viewed as a particular solution. To show the effectiveness and superiority of the proposed methodology, some numerical examples and comparisons are provided. © 2018 European Control Association},
note = {Cited by: 8},
keywords = {Control nonlinearities, Controller designs, Controllers, Decoding, Delayed state, Digital control systems, Discrete - time systems, Discrete time control systems, Linear matrix inequalities, Linear matrix inequality approach, Lipschitz systems, Noise analyse, Observer-based controller design, Observer-based controllers, Robustness (control systems), Sliding Window, Sliding window of measurement},
pubstate = {published},
tppubtype = {article}
}
This paper deals with H∞ observer-based controller design for a class of discrete-time systems with Lipschitz nonlinearities. Usually, the observer-based control synthesis for the considered class of systems leads to the feasibility of a Bilinear Matrix Inequality (BMI). Since, solving a BMI constraint has been an NP-hard optimization problem, then linearizing this constraint to get a convex one is an interesting issue because Linear Matrix Inequalities (LMIs) are easily tractable by numerical softwares (LMI Toolboxes,.). Hence, the aim of this paper is to develop a new Linear Matrix Inequality (LMI) condition, ensuring the H∞ asymptotic convergence of the observer-based controller. Due to the introduction of a slack variable technique, the usual BMI problem is equivalently transformed to a more suitable one, which leads to less conservative and more general LMI condition compared to the existing methods in the literature. Conjointly to the slack variable technique, the Lipschitz property and the Young’s relation are used in a reformulated way to obtain additional decision variables in the LMI. In the aim to further relax the proposed LMI methodology, sliding windows of delayed states and measurements are included in the structures of the controller and the observer, respectively. The obtained LMI is more general and less conservative than the first one, which can be viewed as a particular solution. To show the effectiveness and superiority of the proposed methodology, some numerical examples and comparisons are provided. © 2018 European Control Association |
Gasmi, Noussaiba; Boutayeb, Mohamed; Thabet, Assem; Aoun, Mohamed H ∞ Sliding Window Observer Design for Lipschitz Discrete-Time Systems Conférence 2018, (Cited by: 0). @conference{Gasmi2018111,
title = {H ∞ Sliding Window Observer Design for Lipschitz Discrete-Time Systems},
author = {Noussaiba Gasmi and Mohamed Boutayeb and Assem Thabet and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85061079973\&doi=10.1109%2fICoSC.2018.8587622\&partnerID=40\&md5=35bde69fee7112543b44587ab1dda799},
doi = {10.1109/ICoSC.2018.8587622},
year = {2018},
date = {2018-01-01},
journal = {2018 7th International Conference on Systems and Control, ICSC 2018},
pages = {111 \textendash 116},
abstract = {This paper focuses on the H ∞ observer design for Lipschitz discrete-time nonlinear systems. The main idea consists in using previous measurements in a Luenberger observer through a sliding window to obtain less restrictive constraint. Reformulations of both Lipschitz property and Young's relation are used to offer greater degree of freedom to the obtained constraint. The presented result is in the form of BMI (Bilinear Matrix Inequality) which is transformed into LMI (Linear Matrix Inequality) through an interesting approach. The resulting constraint can be easily achieved with standard software algorithms. Then, to prove the superiority of the proposed design methodology, a comparison with the classical case is presented. Numerical examples are given to illustrate the effectiveness and the high performances of the proposed filter. © 2018 IEEE.},
note = {Cited by: 0},
keywords = {Bilinear matrix inequality, Degrees of freedom (mechanics), Design, Design Methodology, Digital control systems, Discrete - time systems, Discrete time control systems, Discrete-time nonlinear systems, Linear matrix inequalities, Lipschitz property, LMI (linear matrix inequality), Luenberger observers, Restrictive constraints},
pubstate = {published},
tppubtype = {conference}
}
This paper focuses on the H ∞ observer design for Lipschitz discrete-time nonlinear systems. The main idea consists in using previous measurements in a Luenberger observer through a sliding window to obtain less restrictive constraint. Reformulations of both Lipschitz property and Young’s relation are used to offer greater degree of freedom to the obtained constraint. The presented result is in the form of BMI (Bilinear Matrix Inequality) which is transformed into LMI (Linear Matrix Inequality) through an interesting approach. The resulting constraint can be easily achieved with standard software algorithms. Then, to prove the superiority of the proposed design methodology, a comparison with the classical case is presented. Numerical examples are given to illustrate the effectiveness and the high performances of the proposed filter. © 2018 IEEE. |
Gasmi, Noussaiba; Boutayeb, Mohamed; Thabet, Assem; Aoun, Mohamed H∞ Observer-Based Controller for Lipschitz Nonlinear Discrete-Time Systems Conférence 2018, (Cited by: 0). @conference{Gasmi2018771,
title = {H∞ Observer-Based Controller for Lipschitz Nonlinear Discrete-Time Systems},
author = {Noussaiba Gasmi and Mohamed Boutayeb and Assem Thabet and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85053453447\&doi=10.1109%2fMED.2018.8442675\&partnerID=40\&md5=5a3255b8f67c35a8dea17ac229a35652},
doi = {10.1109/MED.2018.8442675},
year = {2018},
date = {2018-01-01},
journal = {MED 2018 - 26th Mediterranean Conference on Control and Automation},
pages = {771 \textendash 775},
abstract = {Within the paper, a relevant H∞observer-based controller design for a class of Lipschitz nonlinear discrete-time systems is proposed. Usually, Bilinear Matrix Inequaities (BMIs) are obtained from the resolution of the observer-based stabilization design problem for this class of systems. Since, the resolution of a BMI is a hard task, then it is interesting to search for a convenient way to linearize the obtained conditions. Therefore, the objective of this paper is to present new Linear Matrix Inequality (LMI) conditions ensuring the convergence of the observer-based controller in a noisy context. Thanks to the introduction of a slack variable the presented LMI conditions are more general and less conservative than the existence ones. Indeed, reformulations of the Lipschitz property and Young's relation in a convenient way lead to a more relaxed new LMI. A numerical example is implemented to show high performances of the proposed design methodology with respect to some existing results. © 2018 IEEE.},
note = {Cited by: 0},
keywords = {Bilinear matrix, Controllers, Design Methodology, Design problems, Digital control systems, Discrete time control systems, Linear matrix inequalities, Lipschitz property, Nonlinear discrete-time systems, Observer-based, Observer-based controllers, Robustness (control systems), Slack variables},
pubstate = {published},
tppubtype = {conference}
}
Within the paper, a relevant H∞observer-based controller design for a class of Lipschitz nonlinear discrete-time systems is proposed. Usually, Bilinear Matrix Inequaities (BMIs) are obtained from the resolution of the observer-based stabilization design problem for this class of systems. Since, the resolution of a BMI is a hard task, then it is interesting to search for a convenient way to linearize the obtained conditions. Therefore, the objective of this paper is to present new Linear Matrix Inequality (LMI) conditions ensuring the convergence of the observer-based controller in a noisy context. Thanks to the introduction of a slack variable the presented LMI conditions are more general and less conservative than the existence ones. Indeed, reformulations of the Lipschitz property and Young’s relation in a convenient way lead to a more relaxed new LMI. A numerical example is implemented to show high performances of the proposed design methodology with respect to some existing results. © 2018 IEEE. |
2017
|
Frej, Ghazi Bel Haj; Thabet, Assem; Boutayeb, Mohamed; Aoun, Mohamed Distributed observer-based guaranteed cost control design for large scale interconnected systems Conférence vol. 2017-January, 2017, (Cited by: 1). @conference{Frej2017306b,
title = {Distributed observer-based guaranteed cost control design for large scale interconnected systems},
author = {Ghazi Bel Haj Frej and Assem Thabet and Mohamed Boutayeb and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85045565632\&doi=10.1109%2fCoDIT.2017.8102609\&partnerID=40\&md5=fa1b4436c0485b11111c0581b434d960},
doi = {10.1109/CoDIT.2017.8102609},
year = {2017},
date = {2017-01-01},
journal = {2017 4th International Conference on Control, Decision and Information Technologies, CoDIT 2017},
volume = {2017-January},
pages = {306 \textendash 311},
abstract = {This paper focuses on the problem of observer-based distributed guaranteed cost control for large scale nonlinear interconnected systems with a chosen quadratic cost function. The aim is to ensures closed-loop stability and guaranteed cost for all planned parameter changes. For that, differential mean value theorem is used to introduce a general condition on the nonlinear time-varying interconnections functions. The obtained design procedures are formulated in the form of Linear matrix inequalities (LMIs) by using the Lyapunovs direct method stability analysis. Effectiveness of the proposed scheme is verified through simulation results on a power system with three interconnected machines. © 2017 IEEE.},
note = {Cited by: 1},
keywords = {Cost effectiveness, Cost functions, Costs, Differential mean value theorems, Guaranteed cost, Large scale systems, Large-scale interconnected systems, Linear matrix inequalities, Linear Matrix Inequalities (LMIs), Lyapunov stability, Nonlinear interconnected systems, Observer based control, Quadratic cost functions, Robustness (control systems)},
pubstate = {published},
tppubtype = {conference}
}
This paper focuses on the problem of observer-based distributed guaranteed cost control for large scale nonlinear interconnected systems with a chosen quadratic cost function. The aim is to ensures closed-loop stability and guaranteed cost for all planned parameter changes. For that, differential mean value theorem is used to introduce a general condition on the nonlinear time-varying interconnections functions. The obtained design procedures are formulated in the form of Linear matrix inequalities (LMIs) by using the Lyapunovs direct method stability analysis. Effectiveness of the proposed scheme is verified through simulation results on a power system with three interconnected machines. © 2017 IEEE. |
Frej, Ghazi Bel Haj; Thabet, Assem; Boutayeb, Mohamed; Aoun, Mohamed Distributed observer-based guaranteed cost control design for large scale interconnected systems Conférence vol. 2017-January, 2017, (Cited by: 1). @conference{Frej2017306,
title = {Distributed observer-based guaranteed cost control design for large scale interconnected systems},
author = {Ghazi Bel Haj Frej and Assem Thabet and Mohamed Boutayeb and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85045565632\&doi=10.1109%2fCoDIT.2017.8102609\&partnerID=40\&md5=fa1b4436c0485b11111c0581b434d960},
doi = {10.1109/CoDIT.2017.8102609},
year = {2017},
date = {2017-01-01},
journal = {2017 4th International Conference on Control, Decision and Information Technologies, CoDIT 2017},
volume = {2017-January},
pages = {306 \textendash 311},
abstract = {This paper focuses on the problem of observer-based distributed guaranteed cost control for large scale nonlinear interconnected systems with a chosen quadratic cost function. The aim is to ensures closed-loop stability and guaranteed cost for all planned parameter changes. For that, differential mean value theorem is used to introduce a general condition on the nonlinear time-varying interconnections functions. The obtained design procedures are formulated in the form of Linear matrix inequalities (LMIs) by using the Lyapunovs direct method stability analysis. Effectiveness of the proposed scheme is verified through simulation results on a power system with three interconnected machines. © 2017 IEEE.},
note = {Cited by: 1},
keywords = {Cost effectiveness, Cost functions, Costs, Differential mean value theorems, Guaranteed cost, Large scale systems, Large-scale interconnected systems, Linear matrix inequalities, Linear Matrix Inequalities (LMIs), Lyapunov stability, Nonlinear interconnected systems, Observer based control, Quadratic cost functions, Robustness (control systems)},
pubstate = {published},
tppubtype = {conference}
}
This paper focuses on the problem of observer-based distributed guaranteed cost control for large scale nonlinear interconnected systems with a chosen quadratic cost function. The aim is to ensures closed-loop stability and guaranteed cost for all planned parameter changes. For that, differential mean value theorem is used to introduce a general condition on the nonlinear time-varying interconnections functions. The obtained design procedures are formulated in the form of Linear matrix inequalities (LMIs) by using the Lyapunovs direct method stability analysis. Effectiveness of the proposed scheme is verified through simulation results on a power system with three interconnected machines. © 2017 IEEE. |
2016
|
Gasmi, N.; Thabet, A.; Boutayeb, M.; Aoun, M. Ob_server design fo a class of nonlinear discrete time systems Conférence 2016, (Cited by: 8). @conference{Gasmi2016799b,
title = {Ob_server design fo a class of nonlinear discrete time systems},
author = {N. Gasmi and A. Thabet and M. Boutayeb and M. Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84979691968\&doi=10.1109%2fSTA.2015.7505084\&partnerID=40\&md5=c0a9f25a510a1303bdee32a74f93b688},
doi = {10.1109/STA.2015.7505084},
year = {2016},
date = {2016-01-01},
journal = {16th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering, STA 2015},
pages = {799 \textendash 804},
abstract = {This paper focuses in the observer design for non-linear discrete time systems. The main objective is the application of the Differential Mean Value Theorem (DMVT) to transform the nonlinear dynamics error to a linear parameter varying (LPV) system. This aims to introduce a less restrictive condition on the nonlinear functions. To ensure asymptotic stability, sufficient conditions are formulated in Linear Matrix Inequalities (LMIs). For comparison, an observer based on the utilization of the One-Sided Lipschitz condition is introduced. High performances are shown through numerical simulation. © 2015 IEEE.},
note = {Cited by: 8},
keywords = {Asymptotic stability, Automation, Differential mean value theorems, Digital control systems, Discrete time control systems, Linear matrix inequalities, Linear parameter varying systems, Mathematical transformations, Nonlinear discrete-time systems, Nonlinear functions, Observer design, Observer-based, One-sided Lipschitz condition, Process control, Restrictive conditions},
pubstate = {published},
tppubtype = {conference}
}
This paper focuses in the observer design for non-linear discrete time systems. The main objective is the application of the Differential Mean Value Theorem (DMVT) to transform the nonlinear dynamics error to a linear parameter varying (LPV) system. This aims to introduce a less restrictive condition on the nonlinear functions. To ensure asymptotic stability, sufficient conditions are formulated in Linear Matrix Inequalities (LMIs). For comparison, an observer based on the utilization of the One-Sided Lipschitz condition is introduced. High performances are shown through numerical simulation. © 2015 IEEE. |
Frej, G. Bel Haj; Thabet, A.; Boutayeb, M.; Aoun, M. Decentralized observers of a large class of nonlinear interconnected systems Conférence 2016, (Cited by: 1). @conference{BelHajFrej2016905b,
title = {Decentralized observers of a large class of nonlinear interconnected systems},
author = {G. Bel Haj Frej and A. Thabet and M. Boutayeb and M. Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84979657055\&doi=10.1109%2fSTA.2015.7505091\&partnerID=40\&md5=51044233aec05c7e771789c2852c0f99},
doi = {10.1109/STA.2015.7505091},
year = {2016},
date = {2016-01-01},
journal = {16th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering, STA 2015},
pages = {905 \textendash 910},
abstract = {The objective of this paper is the synthesis of decentralized state observers for large class of nonlinear interconnected systems. The procedure uses the Differential Mean Value Theorem (DMVT) to simplify the design of estimation and control matrices gains. A general condition on the non linear time-varying interconnections functions is introduced. To ensure asymptotic stability, sufficient conditions are formulated in Linear Matrix Inequalities (LMIs). High performances are shown through numerical simulation. © 2015 IEEE.},
note = {Cited by: 1},
keywords = {Asymptotic stability, Automation, Control matrices, Decentralized state observers, Differential mean value theorems, Linear matrix inequalities, Matrix algebra, Non linear, Nonlinear interconnected systems, Process control},
pubstate = {published},
tppubtype = {conference}
}
The objective of this paper is the synthesis of decentralized state observers for large class of nonlinear interconnected systems. The procedure uses the Differential Mean Value Theorem (DMVT) to simplify the design of estimation and control matrices gains. A general condition on the non linear time-varying interconnections functions is introduced. To ensure asymptotic stability, sufficient conditions are formulated in Linear Matrix Inequalities (LMIs). High performances are shown through numerical simulation. © 2015 IEEE. |
Frej, Ghazi Bel Haj; Thabet, Assem; Boutayeb, Mohamed; Aoun, Mohamed Decentralized observer-based control of nonlinear interconnected systems with nonlinear dynamics Conférence 2016, (Cited by: 2). @conference{BelHajFrej2016358b,
title = {Decentralized observer-based control of nonlinear interconnected systems with nonlinear dynamics},
author = {Ghazi Bel Haj Frej and Assem Thabet and Mohamed Boutayeb and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84974555525\&doi=10.1109%2fSSD.2016.7473666\&partnerID=40\&md5=eaa21e5099cd2c1f83e64f935eeadb9f},
doi = {10.1109/SSD.2016.7473666},
year = {2016},
date = {2016-01-01},
journal = {13th International Multi-Conference on Systems, Signals and Devices, SSD 2016},
pages = {358 \textendash 363},
abstract = {This paper presents a method for the design of decentralized state observer-based control for a class of systems which are modeled as nonlinear subsystems linked by nonlinear time varying interconnections. The non linearity of each subsystem satisfies the Lipschitz condition and the only information about the nonlinear interconnection is that satisfies a quadratic constraint. The key to our work is, in one hand, the reformulation of the Lipschitz condition and the quadratic constraint using the differential mean value to simplify the design of estimation and control matrices gains, and in another hand the use of the Lyapunov's direct method stability analysis. Sufficient conditions that ensure the existence of observer based feedback controller are established in terms of linear matrix inequalities. A numerical example is given to mark the effectiveness of the control design. © 2016 IEEE.},
note = {Cited by: 2},
keywords = {Decentralized state observers, Linear matrix inequalities, Lipschitz conditions, Lyapunov's direct method, Nonlinear control systems, Nonlinear interconnected systems, Nonlinear interconnections, Nonlinear subsystems, Observer based control, Quadratic constraint},
pubstate = {published},
tppubtype = {conference}
}
This paper presents a method for the design of decentralized state observer-based control for a class of systems which are modeled as nonlinear subsystems linked by nonlinear time varying interconnections. The non linearity of each subsystem satisfies the Lipschitz condition and the only information about the nonlinear interconnection is that satisfies a quadratic constraint. The key to our work is, in one hand, the reformulation of the Lipschitz condition and the quadratic constraint using the differential mean value to simplify the design of estimation and control matrices gains, and in another hand the use of the Lyapunov’s direct method stability analysis. Sufficient conditions that ensure the existence of observer based feedback controller are established in terms of linear matrix inequalities. A numerical example is given to mark the effectiveness of the control design. © 2016 IEEE. |
Gasmi, N.; Thabet, A.; Boutayeb, M.; Aoun, M. Ob_server design fo a class of nonlinear discrete time systems Conférence 2016, (Cited by: 8). @conference{Gasmi2016799,
title = {Ob_server design fo a class of nonlinear discrete time systems},
author = {N. Gasmi and A. Thabet and M. Boutayeb and M. Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84979691968\&doi=10.1109%2fSTA.2015.7505084\&partnerID=40\&md5=c0a9f25a510a1303bdee32a74f93b688},
doi = {10.1109/STA.2015.7505084},
year = {2016},
date = {2016-01-01},
journal = {16th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering, STA 2015},
pages = {799 \textendash 804},
abstract = {This paper focuses in the observer design for non-linear discrete time systems. The main objective is the application of the Differential Mean Value Theorem (DMVT) to transform the nonlinear dynamics error to a linear parameter varying (LPV) system. This aims to introduce a less restrictive condition on the nonlinear functions. To ensure asymptotic stability, sufficient conditions are formulated in Linear Matrix Inequalities (LMIs). For comparison, an observer based on the utilization of the One-Sided Lipschitz condition is introduced. High performances are shown through numerical simulation. © 2015 IEEE.},
note = {Cited by: 8},
keywords = {Asymptotic stability, Automation, Differential mean value theorems, Digital control systems, Discrete time control systems, Linear matrix inequalities, Linear parameter varying systems, Mathematical transformations, Nonlinear discrete-time systems, Nonlinear functions, Observer design, Observer-based, One-sided Lipschitz condition, Process control, Restrictive conditions},
pubstate = {published},
tppubtype = {conference}
}
This paper focuses in the observer design for non-linear discrete time systems. The main objective is the application of the Differential Mean Value Theorem (DMVT) to transform the nonlinear dynamics error to a linear parameter varying (LPV) system. This aims to introduce a less restrictive condition on the nonlinear functions. To ensure asymptotic stability, sufficient conditions are formulated in Linear Matrix Inequalities (LMIs). For comparison, an observer based on the utilization of the One-Sided Lipschitz condition is introduced. High performances are shown through numerical simulation. © 2015 IEEE. |
Frej, G. Bel Haj; Thabet, A.; Boutayeb, M.; Aoun, M. Decentralized observers of a large class of nonlinear interconnected systems Conférence 2016, (Cited by: 1). @conference{BelHajFrej2016905c,
title = {Decentralized observers of a large class of nonlinear interconnected systems},
author = {G. Bel Haj Frej and A. Thabet and M. Boutayeb and M. Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84979657055\&doi=10.1109%2fSTA.2015.7505091\&partnerID=40\&md5=51044233aec05c7e771789c2852c0f99},
doi = {10.1109/STA.2015.7505091},
year = {2016},
date = {2016-01-01},
journal = {16th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering, STA 2015},
pages = {905 \textendash 910},
abstract = {The objective of this paper is the synthesis of decentralized state observers for large class of nonlinear interconnected systems. The procedure uses the Differential Mean Value Theorem (DMVT) to simplify the design of estimation and control matrices gains. A general condition on the non linear time-varying interconnections functions is introduced. To ensure asymptotic stability, sufficient conditions are formulated in Linear Matrix Inequalities (LMIs). High performances are shown through numerical simulation. © 2015 IEEE.},
note = {Cited by: 1},
keywords = {Asymptotic stability, Automation, Control matrices, Decentralized state observers, Differential mean value theorems, Linear matrix inequalities, Matrix algebra, Non linear, Nonlinear interconnected systems, Process control},
pubstate = {published},
tppubtype = {conference}
}
The objective of this paper is the synthesis of decentralized state observers for large class of nonlinear interconnected systems. The procedure uses the Differential Mean Value Theorem (DMVT) to simplify the design of estimation and control matrices gains. A general condition on the non linear time-varying interconnections functions is introduced. To ensure asymptotic stability, sufficient conditions are formulated in Linear Matrix Inequalities (LMIs). High performances are shown through numerical simulation. © 2015 IEEE. |
Frej, Ghazi Bel Haj; Thabet, Assem; Boutayeb, Mohamed; Aoun, Mohamed Decentralized observer-based control of nonlinear interconnected systems with nonlinear dynamics Conférence 2016, (Cited by: 2). @conference{BelHajFrej2016358c,
title = {Decentralized observer-based control of nonlinear interconnected systems with nonlinear dynamics},
author = {Ghazi Bel Haj Frej and Assem Thabet and Mohamed Boutayeb and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84974555525\&doi=10.1109%2fSSD.2016.7473666\&partnerID=40\&md5=eaa21e5099cd2c1f83e64f935eeadb9f},
doi = {10.1109/SSD.2016.7473666},
year = {2016},
date = {2016-01-01},
journal = {13th International Multi-Conference on Systems, Signals and Devices, SSD 2016},
pages = {358 \textendash 363},
abstract = {This paper presents a method for the design of decentralized state observer-based control for a class of systems which are modeled as nonlinear subsystems linked by nonlinear time varying interconnections. The non linearity of each subsystem satisfies the Lipschitz condition and the only information about the nonlinear interconnection is that satisfies a quadratic constraint. The key to our work is, in one hand, the reformulation of the Lipschitz condition and the quadratic constraint using the differential mean value to simplify the design of estimation and control matrices gains, and in another hand the use of the Lyapunov's direct method stability analysis. Sufficient conditions that ensure the existence of observer based feedback controller are established in terms of linear matrix inequalities. A numerical example is given to mark the effectiveness of the control design. © 2016 IEEE.},
note = {Cited by: 2},
keywords = {Decentralized state observers, Linear matrix inequalities, Lipschitz conditions, Lyapunov's direct method, Nonlinear control systems, Nonlinear interconnected systems, Nonlinear interconnections, Nonlinear subsystems, Observer based control, Quadratic constraint},
pubstate = {published},
tppubtype = {conference}
}
This paper presents a method for the design of decentralized state observer-based control for a class of systems which are modeled as nonlinear subsystems linked by nonlinear time varying interconnections. The non linearity of each subsystem satisfies the Lipschitz condition and the only information about the nonlinear interconnection is that satisfies a quadratic constraint. The key to our work is, in one hand, the reformulation of the Lipschitz condition and the quadratic constraint using the differential mean value to simplify the design of estimation and control matrices gains, and in another hand the use of the Lyapunov’s direct method stability analysis. Sufficient conditions that ensure the existence of observer based feedback controller are established in terms of linear matrix inequalities. A numerical example is given to mark the effectiveness of the control design. © 2016 IEEE. |
