Robust Stability of Singularly Perturbed Descriptor Systems With Nonlinear Perturbation

被引：18

作者：

Zhou, Lei ^{[1
]}

Lu, Guoping ^{[1
]}

机构：

[1] Nantong Univ, Coll Elect & Informat, Nantong 226019, Jiangsu, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Existence of solution; linear matrix inequality; robust stability; singularly perturbed descriptor systems; OUTPUT-FEEDBACK CONTROL; STABILIZATION;

D O I：

10.1109/TAC.2010.2099770

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 technical note is concerned with the problem of robust stability of singularly perturbed descriptor systems with nonlinear perturbation. We first use the fixed-point principle to investigate the existence of the solution for the given singularly perturbed system, a linear matrix inequality condition is obtained for the existence and uniqueness of the solution. In addition, a sufficient condition is presented via linear matrix inequality under which the solution exists and is globally exponentially stable simultaneously. The criterion presented in this technical note is independent of the small parameter and the stability bound can be derived efficiently. Finally, the approach is illustrated by two numerical examples.

引用

页码：858 / 863

页数：6

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