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		Qin LI,Qingling ZHANG,Jichun WANG.[en_title][J].Control Theory and Technology,2009,7(3):237~242.[Copy]

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QinLI,QinglingZHANG,JichunWANG
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Received:October 12, 2007Revised:October 06, 2008

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Non-fragile observer-based passive control for descriptor systems with time-delay

Qin LI , Qingling ZHANG, Jichun WANG

(Institute of Systems Science, Northeastern University, Shenyang Liaoning 110004, China; Department of Mathematical Sciences, Liaoning University of Technology, Jinzhou Liaoning 121001, China)

Abstract:

This paper investigates the problem of non-fragile observer-based passive control for descriptor systems with time-delay. The perturbations in both the control gain and observer gain of the observer-based controller are considered. For the cases of the additive perturbations and multiplicative perturbations, sufficient conditions are given such that the closed-loop systems are admissible and passive with dissipation ′. The observer-based controller gains could be obtained from the solutions of linear matrix inequalities (LMIs). Moreover, the maximum dissipation of the system is provided. Simulation examples are given to show the effectiveness of the deign methods.

Key words: Descriptor systems Time-delay systems Passivity Dissipation Non-fragile control Observer Linear matrix inequality (LMI)