Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems

被引：5
|
作者：
Gao, X. [1 ,3 ]
Teo, K. L. [1 ,2 ]
Duan, G. -R. [1 ]
Zhang, X. [3 ]
机构：
[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA, Australia
[3] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2011年 / 5卷 / 05期
基金：
中国国家自然科学基金; 澳大利亚研究理事会;
关键词：
LINEAR-SYSTEMS;
D O I：
10.1049/iet-cta.2010.0145
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 investigates the robust stability of discrete-time descriptor polytopic systems. Necessary and sufficient conditions for robust stability expressed as parameterised linear matrix inequalities (LMIs) are obtained. Furthermore, the parameterised LMIs are reduced to parameter-independent and finite-dimensional LMIs. Finally, two numerical examples are given, illustrating the effectiveness of the proposed method.
引用
收藏
页码：713 / 720
页数：8
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