Less conservative robust stability criteria for uncertain discrete stochastic singular systems with time-varying delay

被引：10

作者：

Li, Jian-Ning ^{[1
]}

Su, Hongye ^{[1
]}

Wu, Zheng-Guang ^{[1
]}

Chu, Jian ^{[1
]}

机构：

[1] Zhejiang Univ, Inst Cyber Syst & Control, Natl Lab Ind Control Technol, Hangzhou 310003, Zhejiang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2013年 / 44卷 / 03期

基金：

国家高技术研究发展计划(863计划);

关键词：

discrete singular system; linear matrix inequality (LMI); time-varying delay; robust control; SLIDING MODE CONTROL; H-INFINITY CONTROL; GUARANTEED COST CONTROL; CONTROLLER-DESIGN; STATE DELAY; STABILIZATION;

D O I：

10.1080/00207721.2011.601350

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 stabilisation for uncertain discrete singular systems with time-varying delay is discussed in this article. First, a new delay-distribution-dependent Lyapunov function is established. Then, sufficient conditions are proposed for guaranteeing that the uncertain discrete singular system with time-varying delay has the properties of regularity, causality and stability. Finally, a suitable robust state feedback controller is designed by linear matrix inequality. Numerical examples illustrate that the results derived from the proposed method are less conservative than the existing ones.

引用

页码：432 / 441

页数：10

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