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

被引：50

作者：

Haidar, A. ^{[1
]}

Boukas, E. K. ^{[1
]}

Xu, S. ^{[2
]}

Lam, J. ^{[3
]}

机构：

[1] Ecole Polytech, Dept Mech Engn, Stn Ctr Ville, Montreal, PQ H3C 3A7, Canada

[2] Nanjing Univ Sci & Technol, Sch Power Engn, Nanjing 210094, Peoples R China

[3] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2009年 / 3卷 / 09期

基金：

加拿大自然科学与工程研究理事会;

关键词：

ROBUST STABILITY; LMI APPROACH; DEPENDENT STABILITY; DESCRIPTOR SYSTEMS; VARYING DELAY; CRITERIA; CONTROLLERS; DESIGN;

D O I：

10.1049/iet-cta.2008.0212

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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 alpha-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.

引用

页码：1293 / 1305

页数：13

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