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. |
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. |
Gasmi, N.; Thabet, A.; Boutayeb, M.; Aoun, M. Observers for nonlinear lipschitz discrete time systems with extension to H∞ filtering design Conférence Institute of Electrical and Electronics Engineers Inc., 2016, ISBN: 9781509012916, (cited By 1). Résumé | Liens | BibTeX | Étiquettes: Asymptotic convergence; Differential mean value theorems; Discrete – time systems; Linear parameter varying systems; Non-linear error; Nonlinear discrete-time systems; Nonlinear functions; Simulation example, Digital control systems; Discrete time control systems; Functions, Mathematical transformations @conference{Gasmi2016364,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. |
Publications
2016 |
Ob_server design fo a class of nonlinear discrete time systems Conférence 2016, (Cited by: 8). |
Observers for nonlinear lipschitz discrete time systems with extension to H∞ filtering design Conférence 2016, (Cited by: 1). |
Observers for nonlinear lipschitz discrete time systems with extension to H∞ filtering design Conférence Institute of Electrical and Electronics Engineers Inc., 2016, ISBN: 9781509012916, (cited By 1). |