Title :

Robust sliding mode control of nonlinear systems with delay: A design via polytopic formulation

Author(s) :

Gouaisbaut, Frédéric [Auteur]
Laboratoire d'analyse et d'architecture des systèmes [LAAS]
Blanco, Yann [Auteur]
Laboratoire d'Automatique, Génie Informatique et Signal [LAGIS]
Richard, Jean-Pierre [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Algebra for Digital Identification and Estimation [ALIEN]

Journal title :

International Journal of Control

Pages :

206-215

Publisher :

Taylor & Francis

Publication date :

2004

ISSN :

0020-7179

English keyword(s) :

Nonlinear time delay systems
Sliding mode control
LMIs

HAL domain(s) :

Informatique [cs]/Automatique
Mathématiques [math]/Systèmes dynamiques [math.DS]

English abstract : [en]

This paper outlines the possibility to control nonlinear uncertain systems with single, possibly time-varying state-delay. These systems are submitted to additive perturbations (possibly nonvanishing). The control is of ...
Show more >This paper outlines the possibility to control nonlinear uncertain systems with single, possibly time-varying state-delay. These systems are submitted to additive perturbations (possibly nonvanishing). The control is of sliding mode type and the sliding surface is designed so to maximize the calculable set of delays which do not destabilize the system. The way to deal with the nonlinear parts of the model relies on a polytopic formulation. The conditions for the existence of the sliding regime are studied by using both a Lyapunov-Krasovskii functionnal and a Lyapunov-Razumikhin function. The optmization precedure for the choice of the sliding surface is expressed in terms of LMIs. An example illustrates the proposed method.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