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). Résumé | Liens | BibTeX | Étiquettes: 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) @conference{Frej2017306b, 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, G. Bel Haj; Boutayeb, M.; Thabet, A.; Aoun, M.; Zasadzinski, M. Decentralized observer-based control for interconnected nonlinear discrete-time systems Conférence 2017, (Cited by: 0). Résumé | Liens | BibTeX | Étiquettes: 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 @conference{BelHajFrej20171154b, 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. |
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). Résumé | Liens | BibTeX | Étiquettes: 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) @conference{Frej2017306, 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, G. Bel Haj; Boutayeb, M.; Thabet, A.; Aoun, M.; Zasadzinski, M. Decentralized observer-based control for interconnected nonlinear discrete-time systems Conférence 2017, (Cited by: 0). Résumé | Liens | BibTeX | Étiquettes: 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 @conference{BelHajFrej20171154c, 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. |
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). Résumé | Liens | BibTeX | Étiquettes: 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 @conference{Gasmi2016799b, 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). Résumé | Liens | BibTeX | Étiquettes: Asymptotic stability, Automation, Control matrices, Decentralized state observers, Differential mean value theorems, Linear matrix inequalities, Matrix algebra, Non linear, Nonlinear interconnected systems, Process control @conference{BelHajFrej2016905b, 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. |
Gasmi, Noussaiba; Thabet, Assem; Boutayeb, Mohamed; Aoun, Mohamed Observers for nonlinear lipschitz discrete time systems with extension to H∞ filtering design Conférence 2016, (Cited by: 1). Résumé | Liens | BibTeX | Étiquettes: 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 @conference{Gasmi2016364b, 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. |
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). Résumé | Liens | BibTeX | Étiquettes: Asymptotic stability, Automation, Control matrices, Decentralized state observers, Differential mean value theorems, Linear matrix inequalities, Matrix algebra, Non linear, Nonlinear interconnected systems, Process control @conference{BelHajFrej2016905c, 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. |
Publications
2017 |
Distributed observer-based guaranteed cost control design for large scale interconnected systems Conférence vol. 2017-January, 2017, (Cited by: 1). |
Decentralized observer-based control for interconnected nonlinear discrete-time systems Conférence 2017, (Cited by: 0). |
Distributed observer-based guaranteed cost control design for large scale interconnected systems Conférence vol. 2017-January, 2017, (Cited by: 1). |
Decentralized observer-based control for interconnected nonlinear discrete-time systems Conférence 2017, (Cited by: 0). |
2016 |
Ob_server design fo a class of nonlinear discrete time systems Conférence 2016, (Cited by: 8). |
Decentralized observers of a large class of nonlinear interconnected systems Conférence 2016, (Cited by: 1). |
Observers for nonlinear lipschitz discrete time systems with extension to H∞ filtering design Conférence 2016, (Cited by: 1). |
Decentralized observers of a large class of nonlinear interconnected systems Conférence 2016, (Cited by: 1). |