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. |
Publications
2016 |
Decentralized observers of a large class of nonlinear interconnected systems Conférence 2016, (Cited by: 1). |
Decentralized observer-based control of nonlinear interconnected systems with nonlinear dynamics Conférence 2016, (Cited by: 2). |
Decentralized observers of a large class of nonlinear interconnected systems Conférence 2016, (Cited by: 1). |
Decentralized observer-based control of nonlinear interconnected systems with nonlinear dynamics Conférence 2016, (Cited by: 2). |