Publications

@conference{Dadi2021144b,

title = {Zonotope based Fault Tolerant Control for Discrete-Time Linear Time-Invariant Systems},

author = {Leila Dadi and Haifa Ethabet and Mohamed Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85130585277\&doi=10.1109%2fSCC53769.2021.9768392\&partnerID=40\&md5=61871b4c8b1ce06f3c2c0faa57f8e423},

doi = {10.1109/SCC53769.2021.9768392},

year  = {2021},

date = {2021-01-01},

journal = {2021 IEEE 2nd International Conference on Signal, Control and Communication, SCC 2021},

pages = {144 \textendash 149},

abstract = {This paper considers Faut Tolerant Control (FTC) problem for discrete-time Linear Time-Invariant systems (LTI) affected by faults on actuator. First, zonotope-based interval estimation technique is proposed, which integrate robust observer design with zonotopic analysis. By introducing H∞ performances in the observer design, the designed technique reduce the effects of uncertainties and improve the interval estimation accuracy. Based on the robust designed observer, the interval state estimation can be realized via a zonotopic analysis. Second, a FTC is designed to stabilize the close-loop system subject to actuator faults. The control law design is based on zonotopic technique, guaranteeing closed-loop stability. Simulation results are provided to illustrate the performance of the proposed method. © 2021 IEEE.},

note = {Cited by: 1},

keywords = {Actuators, Control problems, Discrete time control systems, Discrete-time linear time-invariant systems, Estimation techniques, Fault tolerance, Faults tolerant controls, H ∞, H∞approach, Interval estimation, Invariance, Linear control systems, Linear time-invariant system, Observers designs, Time invariant systems, Time varying control systems, Zonotopes},

pubstate = {published},

tppubtype = {conference}

}

@conference{Dadi2021144,

title = {Zonotope based Fault Tolerant Control for Discrete-Time Linear Time-Invariant Systems},

author = {Leila Dadi and Haifa Ethabet and Mohamed Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85130585277\&doi=10.1109%2fSCC53769.2021.9768392\&partnerID=40\&md5=61871b4c8b1ce06f3c2c0faa57f8e423},

doi = {10.1109/SCC53769.2021.9768392},

year  = {2021},

date = {2021-01-01},

journal = {2021 IEEE 2nd International Conference on Signal, Control and Communication, SCC 2021},

pages = {144 \textendash 149},

abstract = {This paper considers Faut Tolerant Control (FTC) problem for discrete-time Linear Time-Invariant systems (LTI) affected by faults on actuator. First, zonotope-based interval estimation technique is proposed, which integrate robust observer design with zonotopic analysis. By introducing H∞ performances in the observer design, the designed technique reduce the effects of uncertainties and improve the interval estimation accuracy. Based on the robust designed observer, the interval state estimation can be realized via a zonotopic analysis. Second, a FTC is designed to stabilize the close-loop system subject to actuator faults. The control law design is based on zonotopic technique, guaranteeing closed-loop stability. Simulation results are provided to illustrate the performance of the proposed method. © 2021 IEEE.},

note = {Cited by: 1},

keywords = {Actuators, Control problems, Discrete time control systems, Discrete-time linear time-invariant systems, Estimation techniques, Fault tolerance, Faults tolerant controls, H ∞, H∞approach, Interval estimation, Invariance, Linear control systems, Linear time-invariant system, Observers designs, Time invariant systems, Time varying control systems, Zonotopes},

pubstate = {published},

tppubtype = {conference}

}

@conference{Gasmi20205970b,

title = {Robust sliding window observer-based controller design for Lipschitz discrete-time systems},

author = {Noussaiba Gasmi and Mohamed Boutayeb and Assem Thabet and Mohamed Aoun and Ghazi Bel Haj Frej},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85105105551\&doi=10.1016%2fj.ifacol.2020.12.1653\&partnerID=40\&md5=ca2d32f962938252839ec3d85f2bef8f},

doi = {10.1016/j.ifacol.2020.12.1653},

year  = {2020},

date = {2020-01-01},

journal = {IFAC-PapersOnLine},

volume = {53},

number = {2},

pages = {5970 \textendash 5975},

abstract = {The aim of this paper is to develop a new observer-based stabilization strategy for a class of Lipschitz uncertain systems. This new strategy improves the performances of existing methods and ensures better convergence conditions. The observer and the controller are enriched with sliding windows of measurements and estimated states, respectively. This technique allows to increase the number of decision variables and thus get less restrictive and more general LMI conditions. The established sufficient stability conditions are in the form of Bilinear Matrix Inequality (BMI). The obtained constraint is transformed, through a useful approach, to a more suitable one easily tractable by standard software algorithms. Numerical example is given to illustrate the performances of the proposed approach. Copyright © 2020 The Authors. This is an open access article under the CC BY-NC-ND license},

note = {Cited by: 1; All Open Access, Bronze Open Access},

keywords = {Controllers, Digital control systems, Discrete - time systems, Discrete time control systems, H ∞ criterion, Lipschitz, Lipschitz non-linearity, Observer-based, Observer-based controllers, Observer-based stabilization design, Performance, Sliding Window, Sliding window approach, Stabilization, Uncertain systems},

pubstate = {published},

tppubtype = {conference}

}

@conference{Gasmi20205970,

title = {Robust sliding window observer-based controller design for Lipschitz discrete-time systems},

author = {Noussaiba Gasmi and Mohamed Boutayeb and Assem Thabet and Mohamed Aoun and Ghazi Bel Haj Frej},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85105105551\&doi=10.1016%2fj.ifacol.2020.12.1653\&partnerID=40\&md5=ca2d32f962938252839ec3d85f2bef8f},

doi = {10.1016/j.ifacol.2020.12.1653},

year  = {2020},

date = {2020-01-01},

journal = {IFAC-PapersOnLine},

volume = {53},

number = {2},

pages = {5970 \textendash 5975},

abstract = {The aim of this paper is to develop a new observer-based stabilization strategy for a class of Lipschitz uncertain systems. This new strategy improves the performances of existing methods and ensures better convergence conditions. The observer and the controller are enriched with sliding windows of measurements and estimated states, respectively. This technique allows to increase the number of decision variables and thus get less restrictive and more general LMI conditions. The established sufficient stability conditions are in the form of Bilinear Matrix Inequality (BMI). The obtained constraint is transformed, through a useful approach, to a more suitable one easily tractable by standard software algorithms. Numerical example is given to illustrate the performances of the proposed approach. Copyright © 2020 The Authors. This is an open access article under the CC BY-NC-ND license},

note = {Cited by: 1; All Open Access, Bronze Open Access},

keywords = {Controllers, Digital control systems, Discrete - time systems, Discrete time control systems, H ∞ criterion, Lipschitz, Lipschitz non-linearity, Observer-based, Observer-based controllers, Observer-based stabilization design, Performance, Sliding Window, Sliding window approach, Stabilization, Uncertain systems},

pubstate = {published},

tppubtype = {conference}

}

@conference{Achnib2018863b,

title = {Anticipative Robust Design Applied to a Water Level Control System},

author = {Asma Achnib and Tudor-Bogdan Airimitoaie and Patrick Lanusse and Ayadi Guefrachi and Mohamed Aoun and Manel Chetoui},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85057100557\&doi=10.23919%2fECC.2018.8550606\&partnerID=40\&md5=c3634547027f49e719b9a1021df8b6ae},

doi = {10.23919/ECC.2018.8550606},

year  = {2018},

date = {2018-01-01},

journal = {2018 European Control Conference, ECC 2018},

pages = {863 \textendash 869},

abstract = {In this paper, a discrete-time robust controller design method for optimal reference tracking in preview systems is validated on an experimental test bench. In the context of preview systems, it is supposed that future values of the reference signal are available a number of time steps ahead. The objective is to design a control algorithm that minimizes a quadratic error between the reference and the output of the system. The proposed solution combines a robust feedback controller with a feedforward anticipative filter. The theoretical description of this new approach is given and experimental results on a water level control system are presented. © 2018 European Control Association (EUCA).},

note = {Cited by: 4},

keywords = {Controllers, Design, Digital control systems, Discrete - time systems, Discrete time control systems, Experimental test benches, Feedforward filters, Level control, Leveling (machinery), Quadratic errors, Reference signals, Reference-tracking, Robust control, Robust controller design, Robust feedback controllers, Water levels},

pubstate = {published},

tppubtype = {conference}

}

@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}

}

@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}

}

@conference{Achnib2018863,

title = {Anticipative Robust Design Applied to a Water Level Control System},

author = {Asma Achnib and Tudor-Bogdan Airimitoaie and Patrick Lanusse and Ayadi Guefrachi and Mohamed Aoun and Manel Chetoui},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85057100557\&doi=10.23919%2fECC.2018.8550606\&partnerID=40\&md5=c3634547027f49e719b9a1021df8b6ae},

doi = {10.23919/ECC.2018.8550606},

year  = {2018},

date = {2018-01-01},

journal = {2018 European Control Conference, ECC 2018},

pages = {863 \textendash 869},

abstract = {In this paper, a discrete-time robust controller design method for optimal reference tracking in preview systems is validated on an experimental test bench. In the context of preview systems, it is supposed that future values of the reference signal are available a number of time steps ahead. The objective is to design a control algorithm that minimizes a quadratic error between the reference and the output of the system. The proposed solution combines a robust feedback controller with a feedforward anticipative filter. The theoretical description of this new approach is given and experimental results on a water level control system are presented. © 2018 European Control Association (EUCA).},

note = {Cited by: 4},

keywords = {Controllers, Design, Digital control systems, Discrete - time systems, Discrete time control systems, Experimental test benches, Feedforward filters, Level control, Leveling (machinery), Quadratic errors, Reference signals, Reference-tracking, Robust control, Robust controller design, Robust feedback controllers, Water levels},

pubstate = {published},

tppubtype = {conference}

}

@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}

}

@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}

}

@conference{BelHajFrej20171154b,

title = {Decentralized observer-based control for interconnected nonlinear discrete-time systems},

author = {G. Bel Haj Frej and M. Boutayeb and A. Thabet and M. Aoun and M. Zasadzinski},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85028518480\&doi=10.1109%2fMED.2017.7984273\&partnerID=40\&md5=30ea4696cc75cf9570d5bb50cfbd1525},

doi = {10.1109/MED.2017.7984273},

year  = {2017},

date = {2017-01-01},

journal = {2017 25th Mediterranean Conference on Control and Automation, MED 2017},

pages = {1154 \textendash 1158},

abstract = {This study concerns the decentralized observer-based control for discrete time nonlinear interconnected system. The nonlinear interconnection between subsystem is uncertain and the only information about these uncertainties is that satisfy quadratic constraints. Sufficient conditions ensuring the synthesis of observer based feedback controller are established. The quadratic constraint is reformulated using the differential mean value theorem and the Lyapunov's direct method stability analysis. The design approach arises from the solution of linear matrix inequalitie (LMI). Simulation results are exploited to show the feasibility and the high performances of the proposed method. © 2017 IEEE.},

note = {Cited by: 0},

keywords = {Differential mean value theorems, Digital control systems, Discrete time control systems, Linear matrix inequalitie, Lyapunov's direct method, Nonlinear discrete-time systems, Nonlinear interconnected systems, Nonlinear interconnections, Observer based control, Quadratic constraint},

pubstate = {published},

tppubtype = {conference}

}

@conference{BelHajFrej20171154c,

title = {Decentralized observer-based control for interconnected nonlinear discrete-time systems},

author = {G. Bel Haj Frej and M. Boutayeb and A. Thabet and M. Aoun and M. Zasadzinski},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85028518480\&doi=10.1109%2fMED.2017.7984273\&partnerID=40\&md5=30ea4696cc75cf9570d5bb50cfbd1525},

doi = {10.1109/MED.2017.7984273},

year  = {2017},

date = {2017-01-01},

journal = {2017 25th Mediterranean Conference on Control and Automation, MED 2017},

pages = {1154 \textendash 1158},

abstract = {This study concerns the decentralized observer-based control for discrete time nonlinear interconnected system. The nonlinear interconnection between subsystem is uncertain and the only information about these uncertainties is that satisfy quadratic constraints. Sufficient conditions ensuring the synthesis of observer based feedback controller are established. The quadratic constraint is reformulated using the differential mean value theorem and the Lyapunov's direct method stability analysis. The design approach arises from the solution of linear matrix inequalitie (LMI). Simulation results are exploited to show the feasibility and the high performances of the proposed method. © 2017 IEEE.},

note = {Cited by: 0},

keywords = {Differential mean value theorems, Digital control systems, Discrete time control systems, Linear matrix inequalitie, Lyapunov's direct method, Nonlinear discrete-time systems, Nonlinear interconnected systems, Nonlinear interconnections, Observer based control, Quadratic constraint},

pubstate = {published},

tppubtype = {conference}

}

@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}

}

@conference{Gasmi2016364b,

title = {Observers for nonlinear lipschitz discrete time systems with extension to H∞ filtering design},

author = {Noussaiba Gasmi and Assem Thabet and Mohamed Boutayeb and Mohamed Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84974531658\&doi=10.1109%2fSSD.2016.7473668\&partnerID=40\&md5=91521b9692990aa623a3f13cd7b326ad},

doi = {10.1109/SSD.2016.7473668},

year  = {2016},

date = {2016-01-01},

journal = {13th International Multi-Conference on Systems, Signals and Devices, SSD 2016},

pages = {364 \textendash 369},

abstract = {This note focuses on state observer design for a general class of nonlinear discrete-time systems. The main contribution lies in the use of the differential mean value theorem (DMVT) to transform the nonlinear error dynamics into a linear parameter varying (LPV) system. This has the advantage of introducing a general condition on the non linear functions. An extension to H∞ filtering design is obtained for systems with linear and nonlinear outputs. LMI conditions are presented to ensure asymptotic convergence. Then performances and accuracy of the results are illustrated through simulation examples. © 2016 IEEE.},

note = {Cited by: 1},

keywords = {Asymptotic convergence, Differential mean value theorems, Digital control systems, Discrete - time systems, Discrete time control systems, Functions, Linear parameter varying systems, Mathematical transformations, Non-linear error, Nonlinear discrete-time systems, Nonlinear functions, Simulation example},

pubstate = {published},

tppubtype = {conference}

}

@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}

}

@conference{Gasmi2016364,

title = {Observers for nonlinear lipschitz discrete time systems with extension to H∞ filtering design},

author = {Noussaiba Gasmi and Assem Thabet and Mohamed Boutayeb and Mohamed Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84974531658\&doi=10.1109%2fSSD.2016.7473668\&partnerID=40\&md5=91521b9692990aa623a3f13cd7b326ad},

doi = {10.1109/SSD.2016.7473668},

year  = {2016},

date = {2016-01-01},

journal = {13th International Multi-Conference on Systems, Signals and Devices, SSD 2016},

pages = {364 \textendash 369},

abstract = {This note focuses on state observer design for a general class of nonlinear discrete-time systems. The main contribution lies in the use of the differential mean value theorem (DMVT) to transform the nonlinear error dynamics into a linear parameter varying (LPV) system. This has the advantage of introducing a general condition on the non linear functions. An extension to H∞ filtering design is obtained for systems with linear and nonlinear outputs. LMI conditions are presented to ensure asymptotic convergence. Then performances and accuracy of the results are illustrated through simulation examples. © 2016 IEEE.},

note = {Cited by: 1},

keywords = {Asymptotic convergence, Differential mean value theorems, Digital control systems, Discrete - time systems, Discrete time control systems, Functions, Linear parameter varying systems, Mathematical transformations, Non-linear error, Nonlinear discrete-time systems, Nonlinear functions, Simulation example},

pubstate = {published},

tppubtype = {conference}

}

@conference{Abdelhamid2009b,

title = {Discrete fractional Kalman filter},

author = {Moufida Abdelhamid and Mohamed Aoun and Slaheddine Najar and Mohamed Naceur Abdelhamid},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-79955725313\&doi=10.3182%2f20090921-3-TR-3005.00090\&partnerID=40\&md5=13ac1eb2213053d7b1a48169500ba641},

doi = {10.3182/20090921-3-TR-3005.00090},

year  = {2009},

date = {2009-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {2},

number = {PART 1},

abstract = {This paper presents a generalization of the classical discrete time Kalman filter algorithm to the case of the fractional systems. Motivations for the use of this filter are given and the algorithm is detailed. The document also shows a simple numerical example of linear state estimation. Copyright © 2007 International Federation of Automatic Control.},

note = {Cited by: 20; All Open Access, Bronze Open Access},

keywords = {Algorithms, Discrete time control systems, Discrete-time Kalman filters, Fractional differentiation, Fractional Kalman filter, Fractional kalman filters, Fractional systems, Intelligent control, Kalman filters, Linear state estimation, Numerical example, Signal processing, State estimation},

pubstate = {published},

tppubtype = {conference}

}

@conference{Abdelhamid2009,

title = {Discrete fractional Kalman filter},

author = {Moufida Abdelhamid and Mohamed Aoun and Slaheddine Najar and Mohamed Naceur Abdelhamid},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-79955725313\&doi=10.3182%2f20090921-3-TR-3005.00090\&partnerID=40\&md5=13ac1eb2213053d7b1a48169500ba641},

doi = {10.3182/20090921-3-TR-3005.00090},

year  = {2009},

date = {2009-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {2},

number = {PART 1},

abstract = {This paper presents a generalization of the classical discrete time Kalman filter algorithm to the case of the fractional systems. Motivations for the use of this filter are given and the algorithm is detailed. The document also shows a simple numerical example of linear state estimation. Copyright © 2007 International Federation of Automatic Control.},

note = {Cited by: 20; All Open Access, Bronze Open Access},

keywords = {Algorithms, Discrete time control systems, Discrete-time Kalman filters, Fractional differentiation, Fractional Kalman filter, Fractional kalman filters, Fractional systems, Intelligent control, Kalman filters, Linear state estimation, Numerical example, Signal processing, State estimation},

pubstate = {published},

tppubtype = {conference}

}