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		Xianming ZHANG,Min WU,Jinhua SHE,Dongsheng HAN.[en_title][J].Control Theory and Technology,2007,5(1):99~.[Copy]

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XianmingZHANG,MinWU,JinhuaSHE,DongshengHAN
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Received:September 24, 2004Revised:December 12, 2005

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

Xianming ZHANG, Min WU, Jinhua SHE, Dongsheng HAN

(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)

Abstract:

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.

Key words: Robust stability Robust stabilization Parameter-dependent Lyapunov function Linear matrix inequality