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 |
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. |
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). Résumé | Liens | BibTeX | Étiquettes: 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 @conference{BelHajFrej2016358b, 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. |
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. |
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). Résumé | Liens | BibTeX | Étiquettes: 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 @conference{BelHajFrej2016358c, 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. |