Robust sliding mode control of nonlinear ...
Document type :
Article dans une revue scientifique
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]
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
Sliding mode control
LMIs
HAL domain(s) :
Informatique [cs]/Automatique
Mathématiques [math]/Systèmes dynamiques [math.DS]
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 >
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
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