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

被引：1
|
作者：
Zhang X. [1 ,2 ]
Wu M. [1 ]
She J. [3 ]
Han D. [4 ]
机构：
[1] School of Information Science and Engineering, Central South University, Changsha
[2] School of Mathematical Science and Computing Technology, Central South University, Changsha
[3] School of Bionics, Tokyo University of Technology
[4] Faculty of Business and Informatics, Central Queensland University
来源：
Journal of Control Theory and Applications | 2007年 / 5卷 / 1期
基金：
中国国家自然科学基金;
关键词：
Linear matrix inequality; Parameter-dependent Lyapunov function; Robust stability; Robust stabilization;
D O I：
10.1007/s11768-004-4173-6
中图分类号：
学科分类号：
摘要：
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. © Editorial Board of Control Theory & Applications 2007.
引用
收藏
页码：99 / 103
页数：4
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