Exponential stability and static output feedback stabilisation of singular time-delay systems with saturating actuators

Author

Haidar, Azzam ; Boukas, E.K. ; Xu, Songcen ; Lam, James

Author_Institution

Mech. Eng. Dept., Ecole Polytech. de Montreal, Montreal, QC, Canada

Volume

3

Issue

9

fYear

2009

fDate

9/1/2009 12:00:00 AM

Firstpage

1293

Lastpage

1305

Abstract

This study deals with the class of continuous-time singular linear systems with time-varying delays. The stability and stabilisation problems of this class of systems are addressed. Delay-range-dependent sufficient conditions such that the system is regular, impulse free and ??-stable are developed in the linear matrix inequality (LMI) setting and an estimate of the convergence rate of such stable systems is also presented. An iterative LMI (ILMI) algorithm to compute a static output feedback controller gains is proposed. Some numerical examples are employed to show the usefulness of the proposed results.

Keywords

actuators; asymptotic stability; delays; feedback; linear matrix inequalities; numerical analysis; time-varying systems; LMI algorithm; continuous-time singular linear systems; delay-range-dependent sufficient conditions; exponential stability; linear matrix inequality setting; saturating actuators; singular time-delay systems; static output feedback controller gains; static output feedback stabilisation; time-varying delays;

fLanguage

English

Journal_Title

Control Theory & Applications, IET

Publisher

iet

ISSN

1751-8644

Type

jour

DOI

10.1049/iet-cta.2008.0212

Filename

5235431