An improved robust stability and robust stabilization method for linear discrete-time uncertain systems

Xianming ZHANG; Min WU; Jinhua SHE; Dongsheng HAN

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An improved robust stability and robust stabilization method for linear discrete-time uncertain systems

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This paper addresses the problems of the robust stability and robust stabilization of a discrete-time system with polytopic uncertainties.A new and simple method is presented to directly decouple the Lyapunov matrix and the system dynamic matrix.Combining this method with the parameter-dependent Lyapunov function approach yields new criteria that include some existing ones as special cases.A numerical example illustrates the improvement over the existing ones.

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来源
《控制理论与应用：英文版》 |2007年第1期|99-103|共5页
作者
Xianming ZHANG; Min WU; Jinhua SHE; Dongsheng HAN;
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作者单位

School of Information Science and Engineering;

Central South University;

Changsha Hunan 410083;

China;

School of Mathematical Science and Computing Technology;

Central South University;

Changsha Hunan 410083;

China;

School of Bionics;

Tokyo University of Technology;

Tokyo 192-0982;

Japan;

Faculty of Business and Informatics;

Central Queensland University;

Rockhampton 4702;

Australia;

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原文格式 PDF
正文语种 chi
中图分类线性控制系统;
关键词
线性离散时间不确定系统; 改良鲁棒稳定性; 鲁棒镇定法; 线性阵不等式;

机译：鲁棒稳定性;鲁棒镇定;参数相关的Lyapunov函数;线性矩阵不等式;

An improved robust stability and robust stabilization method for linear discrete-time uncertain systems

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