2020
|
Atitallah, Halima; Aribi, Asma; Aoun, Mohamed Diagnosis of time-delay fractional systems using observer-based methods Article de journal Dans: International Journal of Dynamical Systems and Differential Equations, vol. 10, no. 2, p. 128 – 148, 2020, (Cited by: 2). @article{Atitallah2020128b,
title = {Diagnosis of time-delay fractional systems using observer-based methods},
author = {Halima Atitallah and Asma Aribi and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85082651176\&doi=10.1504%2fIJDSDE.2020.106028\&partnerID=40\&md5=65e5911ee7fb678504ed4979565642ee},
doi = {10.1504/IJDSDE.2020.106028},
year = {2020},
date = {2020-01-01},
journal = {International Journal of Dynamical Systems and Differential Equations},
volume = {10},
number = {2},
pages = {128 \textendash 148},
abstract = {In this paper, two model-based methods are considered for the diagnosis of time-delay fractional systems. Time-delay fractional Luenberger observer without unknown input and time-delay fractional unknown input observer are developed and used for fault detection and isolation. A single observer scheme is needed for fault detection and a bank of generalized (respectively dedicated) observers is required for fault isolation. A theoretical study investigating the convergence condition for each observer-based method in terms of matrix inequalities is presented. Residual sensitivities to faults and to disturbances are studied. Time-delay fractional unknown input observer parameters are computed to obtain structured residuals. This observer ensures unknown input decoupling from the state which results residual insensitive to unknown inputs. Two numerical examples to validate the efficiency of the proposed approaches are given. Copyright © 2020 Inderscience Enterprises Ltd.},
note = {Cited by: 2},
keywords = {Convergence conditions, Diagnosis, Fault detection, Fault detection and isolation, Fault isolation, Fractional systems, Luenberger observers, Residual sensitivities, Structured residuals, Time delay, Timing circuits, Unknown input observer},
pubstate = {published},
tppubtype = {article}
}
In this paper, two model-based methods are considered for the diagnosis of time-delay fractional systems. Time-delay fractional Luenberger observer without unknown input and time-delay fractional unknown input observer are developed and used for fault detection and isolation. A single observer scheme is needed for fault detection and a bank of generalized (respectively dedicated) observers is required for fault isolation. A theoretical study investigating the convergence condition for each observer-based method in terms of matrix inequalities is presented. Residual sensitivities to faults and to disturbances are studied. Time-delay fractional unknown input observer parameters are computed to obtain structured residuals. This observer ensures unknown input decoupling from the state which results residual insensitive to unknown inputs. Two numerical examples to validate the efficiency of the proposed approaches are given. Copyright © 2020 Inderscience Enterprises Ltd. |
Atitallah, Halima; Aribi, Asma; Aoun, Mohamed Diagnosis of time-delay fractional systems using observer-based methods Article de journal Dans: International Journal of Dynamical Systems and Differential Equations, vol. 10, no. 2, p. 128 – 148, 2020, (Cited by: 2). @article{Atitallah2020128,
title = {Diagnosis of time-delay fractional systems using observer-based methods},
author = {Halima Atitallah and Asma Aribi and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85082651176\&doi=10.1504%2fIJDSDE.2020.106028\&partnerID=40\&md5=65e5911ee7fb678504ed4979565642ee},
doi = {10.1504/IJDSDE.2020.106028},
year = {2020},
date = {2020-01-01},
journal = {International Journal of Dynamical Systems and Differential Equations},
volume = {10},
number = {2},
pages = {128 \textendash 148},
abstract = {In this paper, two model-based methods are considered for the diagnosis of time-delay fractional systems. Time-delay fractional Luenberger observer without unknown input and time-delay fractional unknown input observer are developed and used for fault detection and isolation. A single observer scheme is needed for fault detection and a bank of generalized (respectively dedicated) observers is required for fault isolation. A theoretical study investigating the convergence condition for each observer-based method in terms of matrix inequalities is presented. Residual sensitivities to faults and to disturbances are studied. Time-delay fractional unknown input observer parameters are computed to obtain structured residuals. This observer ensures unknown input decoupling from the state which results residual insensitive to unknown inputs. Two numerical examples to validate the efficiency of the proposed approaches are given. Copyright © 2020 Inderscience Enterprises Ltd.},
note = {Cited by: 2},
keywords = {Convergence conditions, Diagnosis, Fault detection, Fault detection and isolation, Fault isolation, Fractional systems, Luenberger observers, Residual sensitivities, Structured residuals, Time delay, Timing circuits, Unknown input observer},
pubstate = {published},
tppubtype = {article}
}
In this paper, two model-based methods are considered for the diagnosis of time-delay fractional systems. Time-delay fractional Luenberger observer without unknown input and time-delay fractional unknown input observer are developed and used for fault detection and isolation. A single observer scheme is needed for fault detection and a bank of generalized (respectively dedicated) observers is required for fault isolation. A theoretical study investigating the convergence condition for each observer-based method in terms of matrix inequalities is presented. Residual sensitivities to faults and to disturbances are studied. Time-delay fractional unknown input observer parameters are computed to obtain structured residuals. This observer ensures unknown input decoupling from the state which results residual insensitive to unknown inputs. Two numerical examples to validate the efficiency of the proposed approaches are given. Copyright © 2020 Inderscience Enterprises Ltd. |
2019
|
Atitallah, Halima; Aribi, Asma; Aoun, Mohamed Tracking Control Design for Fractional Systems with Time Delay Conférence 2019, (Cited by: 0). @conference{Atitallah2019280b,
title = {Tracking Control Design for Fractional Systems with Time Delay},
author = {Halima Atitallah and Asma Aribi and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85067126817\&doi=10.1109%2fSTA.2019.8717225\&partnerID=40\&md5=8533279ab21aee4982e90554b48e071f},
doi = {10.1109/STA.2019.8717225},
year = {2019},
date = {2019-01-01},
journal = {19th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering, STA 2019},
pages = {280 \textendash 285},
abstract = {Fault tolerant control has been an important subject for many researchers. Nevertheless, there are few works dealing with fractional systems up to now and especially in presence of time delay. In this context, this paper proposes a tracking control design for fractional order system with time delay. The aim is to control the system in order to obtain the same performances of a time delay fractional reference model. The controller parameters are computed in both nominal and faulty functioning in case the state is available and unavailable for measurement. The efficiency of the proposed method is illustrated through a numerical example. © 2019 IEEE.},
note = {Cited by: 0},
keywords = {Automation, Controller parameter, Delay control systems, Fault tolerant control, Fractional systems, Fractional-order systems, Navigation, Numerical methods, Process control, Reference modeling, Time delay, Timing circuits, Tracking controls},
pubstate = {published},
tppubtype = {conference}
}
Fault tolerant control has been an important subject for many researchers. Nevertheless, there are few works dealing with fractional systems up to now and especially in presence of time delay. In this context, this paper proposes a tracking control design for fractional order system with time delay. The aim is to control the system in order to obtain the same performances of a time delay fractional reference model. The controller parameters are computed in both nominal and faulty functioning in case the state is available and unavailable for measurement. The efficiency of the proposed method is illustrated through a numerical example. © 2019 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. |
Atitallah, Halima; Aribi, Asma; Aoun, Mohamed Tracking Control Design for Fractional Systems with Time Delay Conférence 2019, (Cited by: 0). @conference{Atitallah2019280,
title = {Tracking Control Design for Fractional Systems with Time Delay},
author = {Halima Atitallah and Asma Aribi and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85067126817\&doi=10.1109%2fSTA.2019.8717225\&partnerID=40\&md5=8533279ab21aee4982e90554b48e071f},
doi = {10.1109/STA.2019.8717225},
year = {2019},
date = {2019-01-01},
journal = {19th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering, STA 2019},
pages = {280 \textendash 285},
abstract = {Fault tolerant control has been an important subject for many researchers. Nevertheless, there are few works dealing with fractional systems up to now and especially in presence of time delay. In this context, this paper proposes a tracking control design for fractional order system with time delay. The aim is to control the system in order to obtain the same performances of a time delay fractional reference model. The controller parameters are computed in both nominal and faulty functioning in case the state is available and unavailable for measurement. The efficiency of the proposed method is illustrated through a numerical example. © 2019 IEEE.},
note = {Cited by: 0},
keywords = {Automation, Controller parameter, Delay control systems, Fault tolerant control, Fractional systems, Fractional-order systems, Navigation, Numerical methods, Process control, Reference modeling, Time delay, Timing circuits, Tracking controls},
pubstate = {published},
tppubtype = {conference}
}
Fault tolerant control has been an important subject for many researchers. Nevertheless, there are few works dealing with fractional systems up to now and especially in presence of time delay. In this context, this paper proposes a tracking control design for fractional order system with time delay. The aim is to control the system in order to obtain the same performances of a time delay fractional reference model. The controller parameters are computed in both nominal and faulty functioning in case the state is available and unavailable for measurement. The efficiency of the proposed method is illustrated through a numerical example. © 2019 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. |
2017
|
Atitallah, Halima; Aribi, Asma; Aoun, Mohamed Diagnosis of time-delay fractional systems Conférence 2017, (Cited by: 3). @conference{Atitallah2017284b,
title = {Diagnosis of time-delay fractional systems},
author = {Halima Atitallah and Asma Aribi and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85024400530\&doi=10.1109%2fSTA.2016.7952042\&partnerID=40\&md5=7df0719cec19ecdfbff3cbb2ec3bfeda},
doi = {10.1109/STA.2016.7952042},
year = {2017},
date = {2017-01-01},
journal = {2016 17th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering, STA 2016 - Proceedings},
pages = {284 \textendash 292},
abstract = {In this paper, a model-based diagnosis method, called Luenberger diagnosis observer, recently developed for fractional order systems, is extended for time-delay fractional systems. A sufficient convergence condition of the fault indicator using Bilinear Matrix Inequalities is detailed. A numerical example illustrating the method's validity in detecting faults is finally presented. © 2016 IEEE.},
note = {Cited by: 3},
keywords = {Automation, Bilinear matrix inequality, Convergence conditions, Convergence of numerical methods, Delay control systems, Diagnosis, Fault detection, Fault indicators, Fractional systems, Fractional-order systems, Luenberger observers, Model based diagnosis, Numerical methods, Process control, residual, Time delay},
pubstate = {published},
tppubtype = {conference}
}
In this paper, a model-based diagnosis method, called Luenberger diagnosis observer, recently developed for fractional order systems, is extended for time-delay fractional systems. A sufficient convergence condition of the fault indicator using Bilinear Matrix Inequalities is detailed. A numerical example illustrating the method’s validity in detecting faults is finally presented. © 2016 IEEE. |
Atitallah, Halima; Aribi, Asma; Aoun, Mohamed Diagnosis of time-delay fractional systems Conférence 2017, (Cited by: 3). @conference{Atitallah2017284,
title = {Diagnosis of time-delay fractional systems},
author = {Halima Atitallah and Asma Aribi and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85024400530\&doi=10.1109%2fSTA.2016.7952042\&partnerID=40\&md5=7df0719cec19ecdfbff3cbb2ec3bfeda},
doi = {10.1109/STA.2016.7952042},
year = {2017},
date = {2017-01-01},
journal = {2016 17th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering, STA 2016 - Proceedings},
pages = {284 \textendash 292},
abstract = {In this paper, a model-based diagnosis method, called Luenberger diagnosis observer, recently developed for fractional order systems, is extended for time-delay fractional systems. A sufficient convergence condition of the fault indicator using Bilinear Matrix Inequalities is detailed. A numerical example illustrating the method's validity in detecting faults is finally presented. © 2016 IEEE.},
note = {Cited by: 3},
keywords = {Automation, Bilinear matrix inequality, Convergence conditions, Convergence of numerical methods, Delay control systems, Diagnosis, Fault detection, Fault indicators, Fractional systems, Fractional-order systems, Luenberger observers, Model based diagnosis, Numerical methods, Process control, residual, Time delay},
pubstate = {published},
tppubtype = {conference}
}
In this paper, a model-based diagnosis method, called Luenberger diagnosis observer, recently developed for fractional order systems, is extended for time-delay fractional systems. A sufficient convergence condition of the fault indicator using Bilinear Matrix Inequalities is detailed. A numerical example illustrating the method’s validity in detecting faults is finally presented. © 2016 IEEE. |
2015
|
Azaiez, Wiem; Chetoui, Manel; Aoun, Mohamed Analytic approach to design PID controller for stabilizing fractional systems with time delay Conférence 2015, (Cited by: 1). @conference{Azaiez2015b,
title = {Analytic approach to design PID controller for stabilizing fractional systems with time delay},
author = {Wiem Azaiez and Manel Chetoui and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84962690861\&doi=10.1109%2fSSD.2015.7348220\&partnerID=40\&md5=d959e533da4e888fa8ef51dfe75270b6},
doi = {10.1109/SSD.2015.7348220},
year = {2015},
date = {2015-01-01},
journal = {12th International Multi-Conference on Systems, Signals and Devices, SSD 2015},
abstract = {The paper considers the problem of PID controller design for stabilizing fractional systems with time delay. An analytic approach developed for rational systems with time delay is extended for fractional systems with time delay. It consists in determining the stability regions in the PID controller parameters planes and choosing the optimal controller by analyzing the stability of the closed-loop corrected system using a graphical criterion, like the dual-locus diagram. The performances of the proposed approach are illustrated using two numerical examples. © 2015 IEEE.},
note = {Cited by: 1},
keywords = {Controllers, dual-locus diagram, Electric control equipment, Fractional differentiation, Fractional systems, Graphical criteria, Optimal controller, PID controller design, PID controllers, Proportional control systems, Stability regions, Three term control systems, Time delay},
pubstate = {published},
tppubtype = {conference}
}
The paper considers the problem of PID controller design for stabilizing fractional systems with time delay. An analytic approach developed for rational systems with time delay is extended for fractional systems with time delay. It consists in determining the stability regions in the PID controller parameters planes and choosing the optimal controller by analyzing the stability of the closed-loop corrected system using a graphical criterion, like the dual-locus diagram. The performances of the proposed approach are illustrated using two numerical examples. © 2015 IEEE. |
Azaiez, Wiem; Chetoui, Manel; Aoun, Mohamed Analytic approach to design PID controller for stabilizing fractional systems with time delay Conférence 2015, (Cited by: 1). @conference{Azaiez2015,
title = {Analytic approach to design PID controller for stabilizing fractional systems with time delay},
author = {Wiem Azaiez and Manel Chetoui and Mohamed Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84962690861\&doi=10.1109%2fSSD.2015.7348220\&partnerID=40\&md5=d959e533da4e888fa8ef51dfe75270b6},
doi = {10.1109/SSD.2015.7348220},
year = {2015},
date = {2015-01-01},
journal = {12th International Multi-Conference on Systems, Signals and Devices, SSD 2015},
abstract = {The paper considers the problem of PID controller design for stabilizing fractional systems with time delay. An analytic approach developed for rational systems with time delay is extended for fractional systems with time delay. It consists in determining the stability regions in the PID controller parameters planes and choosing the optimal controller by analyzing the stability of the closed-loop corrected system using a graphical criterion, like the dual-locus diagram. The performances of the proposed approach are illustrated using two numerical examples. © 2015 IEEE.},
note = {Cited by: 1},
keywords = {Controllers, dual-locus diagram, Electric control equipment, Fractional differentiation, Fractional systems, Graphical criteria, Optimal controller, PID controller design, PID controllers, Proportional control systems, Stability regions, Three term control systems, Time delay},
pubstate = {published},
tppubtype = {conference}
}
The paper considers the problem of PID controller design for stabilizing fractional systems with time delay. An analytic approach developed for rational systems with time delay is extended for fractional systems with time delay. It consists in determining the stability regions in the PID controller parameters planes and choosing the optimal controller by analyzing the stability of the closed-loop corrected system using a graphical criterion, like the dual-locus diagram. The performances of the proposed approach are illustrated using two numerical examples. © 2015 IEEE. |
2014
|
Amairi, M.; Aoun, M.; Saidi, B. Design of robust fractional order PI for FOPDT systems via set inversion Conférence 2014, (Cited by: 4). @conference{Amairi20141166b,
title = {Design of robust fractional order PI for FOPDT systems via set inversion},
author = {M. Amairi and M. Aoun and B. Saidi},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84920546172\&doi=10.1109%2fCCA.2014.6981486\&partnerID=40\&md5=d4fbea265b4bee3988f818fa6aa6491d},
doi = {10.1109/CCA.2014.6981486},
year = {2014},
date = {2014-01-01},
journal = {2014 IEEE Conference on Control Applications, CCA. Part of 2014 IEEE Multi-conference on Systems and Control, MSC 2014},
pages = {1166 \textendash 1171},
abstract = {This paper presents a new design approach of a fractional order PI controller for uncertain system with delay. The method uses the set inversion via interval analysis approach to determine the three parameters of the controller in accordance with different frequency specifications. When applied to uncertain delay system, the method computes the interval of each parameter providing the desired performances. Some numerical examples illustrate the effectiveness of the proposed approach in the case of an uncertain first order plus dead time system. © 2014 IEEE.},
note = {Cited by: 4},
keywords = {Controllers, Design approaches, Different frequency, First order plus dead time, Fractional controllers, Fractional order pI, Interval analysis, Robustness (control systems), Set inversion via interval analysis, Time delay, Uncertainty, Uncertainty analysis},
pubstate = {published},
tppubtype = {conference}
}
This paper presents a new design approach of a fractional order PI controller for uncertain system with delay. The method uses the set inversion via interval analysis approach to determine the three parameters of the controller in accordance with different frequency specifications. When applied to uncertain delay system, the method computes the interval of each parameter providing the desired performances. Some numerical examples illustrate the effectiveness of the proposed approach in the case of an uncertain first order plus dead time system. © 2014 IEEE. |
Saidi, B.; Amairi, M.; Najar, S.; Aoun, M. Fractional PI design for time delay systems based on min-max optimization Conférence 2014, (Cited by: 7). @conference{Saidi2014d,
title = {Fractional PI design for time delay systems based on min-max optimization},
author = {B. Saidi and M. Amairi and S. Najar and M. Aoun},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84918493100\&doi=10.1109%2fICFDA.2014.6967440\&partnerID=40\&md5=0ff2543768ac0713978d10873e94b207},
doi = {10.1109/ICFDA.2014.6967440},
year = {2014},
date = {2014-01-01},
journal = {2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014},
abstract = {This paper presents a new design method of a fractional order PI (FO-PI) for time delay systems based on the min-max numerical optimization. The proposed method uses a constrained optimization algorithm to determine the unknown parameters of the controller and has an objective to improve the transient response, stability margin, stability robustness and load disturbance rejection. A simulation example is presented to show the effectiveness of the proposed design method for a First Order Plus Dead Time system (FOPDT). © 2014 IEEE.},
note = {Cited by: 7},
keywords = {Calculations, Constrained optimization, Delay control systems, Design, Differentiation (calculus), Disturbance rejection, First order plus dead time, Fractional calculus, Frequency specifications, Load disturbance rejection, Min-max optimization, Multiobjective optimization, Numerical methods, Numerical optimizations, Robust controllers, System stability, Time delay, Time-delay systems, Timing circuits, Transient analysis},
pubstate = {published},
tppubtype = {conference}
}
This paper presents a new design method of a fractional order PI (FO-PI) for time delay systems based on the min-max numerical optimization. The proposed method uses a constrained optimization algorithm to determine the unknown parameters of the controller and has an objective to improve the transient response, stability margin, stability robustness and load disturbance rejection. A simulation example is presented to show the effectiveness of the proposed design method for a First Order Plus Dead Time system (FOPDT). © 2014 IEEE. |
