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		Zhengguang WU,Wuneng ZHOU.[en_title][J].Control Theory and Technology,2008,6(2):171~176.[Copy]

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ZhengguangWU,WunengZHOU
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Received:September 20, 2006Revised:October 31, 2007

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Delay-dependent robust stabilization for uncertain singular systems with discrete and distributed delays

Zhengguang WU, Wuneng ZHOU

(National Lab of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hangzhou Zhejiang 310027, China; College of Information Science and Technology, Donghua University, Shanghai 200051, China)

Abstract:

This paper investigates the problem of delay-dependent robust stabilization for uncertain singular systems with discrete and distributed delays in terms of linear matrix inequality (LMI) approach. Based on a delay-dependent stability condition for the nominal system, a state feedback controller is designed, which guarantees the resultant closedloop system to be robustly stable. An explicit expression for the desired controller is also given by solving a set of matrix inequalities. Some numerical examples are provided to illustrate the less conservativeness of the proposed methods.

Key words: Singular systems Time-delay systems Delay-dependent Robust stabilization Linear matrix inequality(LMI)