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		Weijie MAO,Xu WANG.[en_title][J].Control Theory and Technology,2006,4(2):187~192.[Copy]

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WeijieMAO,XuWANG
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Received:October 05, 2005Revised:February 26, 2006

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LMI conditions for quadratic and robust D-stability of interval systems

Weijie MAO, Xu WANG

(National Lab of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hangzhou Zhejiang 310027, China)

Abstract:

Sufficient conditions for the quadratic D-stability and further robust D-stability of interval systems are presented in this paper. This robust D-stability condition is based on a parameter-dependent Lyapunov function obtained from the feasibility of a set of linear matrix inequalities (LMIs) defined at a series of partial-vertex-based interval matrices other than the total vertex matrices as in previous results. The results contain the usual quadratic and robust stability of continuous-time and discrete-time interval systems as particular cases. The illustrative example shows that this method is effective and less conservative for checking the quadratic and robust D-stability of interval systems.

Key words: Interval systems Linear matrix inequality (LMI) Parameter-dependent Lyapunov function Quadratic stability Robust stability