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		Rui WANG,Jun ZHAO.[en_title][J].Control Theory and Technology,2006,4(1):32~37.[Copy]

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RuiWANG,JunZHAO
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Received:September 30, 2005Revised:December 14, 2005

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Non-fragile hybrid guaranteed cost control for a class of uncertain switched linear systems

Rui WANG, Jun ZHAO

(School of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China)

Abstract:

This paper focuses on the problem of non-fragile hybrid guaranteed cost control for a class of uncer- tain switched linear systems. The controller gain to be designed is assumed to have additive gain variations. Based on multiple-Lyapunov function technique, the design of non-fragile hybrid guaranteed cost controllers is derived to make the corresponding closed-loop system asymptotically stable for all admissible uncertainties. Furthermore, a convex optimiza- tion approach with LMIs constraints is introduced to select the optimal non-fragile guaranteed cost controllers. Finally, a simulation example illustrates the effectiveness of the proposed approach.

Key words: Switched systems Guaranteed cost control Non-fragile control Multiple-Lyapunov function