Stabilization of Neutral Systems with Saturating Control Inputs

Gomes da Silva, Joâo Manoel; Seuret, Alexandre; Fridman, Emilia; Richard, Jean-Pierre

Type de document :

Article dans une revue scientifique: Article original

Titre :

Stabilization of Neutral Systems with Saturating Control Inputs

Auteur(s) :

Gomes da Silva, Joâo Manoel [Auteur]
Departamento de Engenharia Eletrica [UFRGS]
Seuret, Alexandre [Auteur]
Networked Controlled Systems [NECS]
Fridman, Emilia [Auteur]
Department of Electrical Engineering
Richard, Jean-Pierre [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
Algebra for Digital Identification and Estimation [ALIEN]

Titre de la revue :

International Journal of Systems Science

Pagination :

1093-1103

Éditeur :

Taylor & Francis

Date de publication :

2010-01-01

ISSN :

0020-7721

Discipline(s) HAL :

Sciences de l'ingénieur [physics]/Automatique / Robotique

Résumé en anglais : [en]

This paper focuses on the stabilization problem of neutral systems in the presence of time-varying delays and control saturation. Based on a descriptor approach and the use of a modified sector relation, global and local ...
Lire la suite >This paper focuses on the stabilization problem of neutral systems in the presence of time-varying delays and control saturation. Based on a descriptor approach and the use of a modified sector relation, global and local stabilization conditions are derived using Lyapunov-Krasovskii functionals. These conditions, formulated directly as linear matrix inequalities (LMIs), allow to relate the control law to be computed to a set of admissible initial conditions, for which the asymptotic and exponential stabilities of the closed-loop system are ensured. An extension of these conditions to the particular case of retarded systems is also provided. From the theoretical conditions, optimization problems with LMI constraints are therefore proposed to compute stabilizing state feedback gains with the aim of ensuring stability for a given set of admissible initial conditions or the global stability of the closed-loop system. A numerical example illustrates the application of the proposed results.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

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

Source :

Harvested from HAL

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