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		Li CHEN.[en_title][J].Control Theory and Technology,2006,4(3):277~280.[Copy]

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LiCHEN
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Received:May 17, 2004Revised:March 31, 2006

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Singular linear quadratic performance with the worst disturbance rejection for descriptor systems

Li CHEN

(Institute of Statistics and Actuary, Shandong Economic University, Jinan Shandong 250014, China; School of Control Science and Engineering, Shandong University, Jinan Shandong 250061, China)

Abstract:

This paper deals with the problem of singular linear quadratic performance with the worst-disturbance rejection for descriptor systems. Under the conditions we give, the worst-disturbance and the optimal control-state pair are unique respectively, the optimal control can be synthesized as state feedback and the closed-loop system is regular, stable and impulse-free.

Key words: Descriptor systems Singular linear quadratic cost Disturbance rejection State feedback