Title :

Robust $H_\infty$ observer-based stabilization of linear discrete-time systems with parameter uncertainties

Author(s) :

Bennani, Cherifa [Auteur]
Laboratoire de Mathématiques Pures et Appliquées [Tizi-Ouzou] [LMPA]
Bedouhene, Fazia [Auteur]
Laboratoire de Mathématiques Pures et Appliquées [Tizi-Ouzou] [LMPA]
Bibi, Hamza [Auteur]
Laboratoire de Mathématiques Pures et Appliquées [Tizi-Ouzou] [LMPA]
Zemouche, Ali [Auteur]
Centre de Recherche en Automatique de Nancy [CRAN]
Rajamani, Rajesh [Auteur]
University of Minnesota [Twin Cities] [UMN]
Chaib Draa, Khadidja [Auteur]
University of Luxembourg Incubator = Incubateur de l'université du Luxembourg
Aitouche, A. [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]

Journal title :

International Journal of Control, Automation and Systems

Pages :

2261-2273

Publisher :

Springer

Publication date :

2019-09

ISSN :

1598-6446

English keyword(s) :

Bilinear matrix inequality (BMI)
$H_\infty$ criterion linear matrix inequalities (LMIs)
observer-based control
uncertain systems

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

This paper addresses the problem of observer-based stabilization of discrete-time linear systems in presence of parameter uncertainties and ℓ2-bounded disturbances. We propose a new variant of the classical two-step LMI ...
Show more >This paper addresses the problem of observer-based stabilization of discrete-time linear systems in presence of parameter uncertainties and ℓ2-bounded disturbances. We propose a new variant of the classical two-step LMI approach. In the first step, we use a slack variable technique to solve the optimization problem resulting from stabilization by a static state feedback. In the second step, a part of the slack variable obtained is incorporated in the ∞ observer-based stabilization problem, to calculate simultaneously the Lyapunov matrix and the observer-based controller gains. The effectiveness of the proposed design methodology is demonstrated using the dynamic model of a quadruple-tank flow process system. Additional numerical illustrations are presented to show the superiority of the proposed Modified Two-Step Method (MTSM) from a LMI feasibility point of view.Show less >

Language :

Anglais

Popular science :

Non

Collections :

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

Source :

Harvested from HAL