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		Yanjun SHEN,Tingsong DU.[en_title][J].Control Theory and Technology,2007,5(4):380~384.[Copy]

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YanjunSHEN,TingsongDU
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Received:August 26, 2006Revised:January 12, 2007

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An improved approach to H-two control with regional stability constraints

Yanjun SHEN, Tingsong DU

(Institute of Nonlinear Complex System, Three Gorges University, Yichang Hubei 443002, China; College of Science, Three Gorges University, Yichang Hubei 443002, China)

Abstract:

This paper presents an improved method for H-two control with regional stability constraints for the closedloop system. The controller is given by the convex combination of a set of fixed gains. Both continuous and discrete-time systems in a known polytopic domain are investigated. New LMI-based sufficient conditions for the existence of parameterdependent Lyapunov functions are proposed. Numerical examples are given to show the proposed conditions provide useful and less conservative results for the problems of H-two control with regional stability constraints.

Key words: H control Regional stability constraints Polytopic domains LMI