ROBUST STABILIZATION FOR UNCERTAIN DISCRETE SINGULAR TIME-DELAY SYSTEMS

被引：17

作者：

Ji, Xiaofu ^{[1
]}

Yang, Zebin ^{[1
]}

Su, Hongye ^{[2
]}

机构：

[1] Jiangsu Univ, Sch Elect & Informat Engn, Zhenjiang 212013, Peoples R China

[2] Zhejiang Univ, Inst Cyber Syst & Control, Natl Key Lab Ind Control Technol, Hangzhou 310027, Peoples R China

来源：

ASIAN JOURNAL OF CONTROL | 2010年 / 12卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Discrete singular time-delay system; robust stability; robust stabilization; linear matrix inequality (LMI); STABILITY;

D O I：

10.1002/asjc.167

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of robust stabilization for uncertain discrete singular time-delay systems is investigated. The considered systems are subject to norm-bounded parameter uncertainties and constant time delay. A linear matrix inequality (LMI) condition is proposed for a discrete singular time-delay system to be regular, causal and stable. With this condition, the problems of robust stability and stabilization are solved. The obtained results are formulated in terms of strict LMIs. An explicit expression of the desired state-feedback control law is also given, which involves no matrix decomposition. The proposed synthesis method is illustrated by a numerical example.

引用

页码：216 / 222

页数：7

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