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		Jiao LI,Yuzhong LIU.[en_title][J].Control Theory and Technology,2007,5(3):307~311.[Copy]

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JiaoLI,YuzhongLIU
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Received:April 20, 2006Revised:November 07, 2006

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Stabilization of a class of discrete-time switched systems via observer-based output feedback

Jiao LI, Yuzhong LIU

(School of Mathematics and Systems Science, Shenyang Normal University, Shenyang Liaoning 110034, China)

Abstract:

In this paper, observer-based static output feedback control problem for discrete-time uncertain switched systems is investigated under an arbitrary switching rule. The main method used in this note is combining switched Lyapunov function (SLF) method with Finsler’s Lemma. Based on linear matrix inequality (LMI) a less conservative stability condition is established and this condition allows extra degree of freedom for stability analysis. Finally, a simulation example is given to illustrate the efficiency of the result.

Key words: Discrete-time switched systems Stabilization Uncertainty Output feedback Switched Lyapunov function(SLF) Linear matrix inequality (LMI)