Title :

Robust observer-based $H_{\infty}$ stabilization for a class of switched discrete-time linear systems with parameter uncertainties

Author(s) :

Bibi, Hamza [Auteur]
Laboratoire de Mathématiques Pures et Appliquées [Tizi-Ouzou] [LMPA]
Zemouche, Ali [Auteur]
Dynamical Interconnected Systems in COmplex Environments [DISCO]
Centre de Recherche en Automatique de Nancy [CRAN]
Aitouche, Abdel [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Chaib Draa, Khadidja [Auteur]
Interdisciplinary Centre for Security, Reliability and Trust [Luxembourg] [SnT]
Centre de Recherche en Automatique de Nancy [CRAN]
Bedouhene, Fazia [Auteur]
Laboratoire de Mathématiques Pures et Appliquées [Tizi-Ouzou] [LMPA]

Conference title :

56th IEEE Conference on Decision and Control, CDC 2017

City :

Melbourne

Country :

Australie

Start date of the conference :

2017-12-12

English keyword(s) :

Finsler's lemma
Linear matrix In- equalities (LMIs)
Switched Lyapunov Functions (SLF)
Observer-based control

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

This paper presents a robust observer-based $H_\infty$ controller design method via LMIs for a class of switched discrete-time linear systems with $l_2$-bounded disturbances and parameter uncertainties. The main contribution ...
Show more >This paper presents a robust observer-based $H_\infty$ controller design method via LMIs for a class of switched discrete-time linear systems with $l_2$-bounded disturbances and parameter uncertainties. The main contribution of this paper consists in a new and judicious use of the slack variables coming from Finsler's lemma. We show analytically how the proposed slack variables allow to eliminate some bilinear matrix coupling. The validity and effectiveness of the proposed design methodology are shown through two numerical examples.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL