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		Jianjun BAI,Hongye SU,Xiaofu JI and Jinfeng GAO.[en_title][J].Control Theory and Technology,2010,8(4):540~544.[Copy]

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JianjunBAI,HongyeSU,XiaofuJI,JinfengGAO
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(State Key Laboratory of Industrial Control Technology, Institute of Cyber-System and Control, Zhejiang University, Hangzhou Zhejiang 310027, China;School of Electrical and Information Engineering, Jiangsu University, Zhenjiang Jiangsu 212013, China;Institute of Automation, Zhejiang Sci-Tech University, Hangzhou Zhejiang 310018, China)

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Received:May 01, 2008Revised:December 07, 2009

基金项目:This work was supported by the National Creative Research Groups Science Foundation of China (No.60721062), the National Natural Science Foundation of China (No.60736021), the National High Technology Research and Development Program of China (863 Program) (No.2008AA042902), and National Natural Science Foundation of China (No.60904011).

Robust D stabilization of singular systems with polytopic uncertainties

Jianjun BAI,Hongye SU,Xiaofu JI,Jinfeng GAO

(State Key Laboratory of Industrial Control Technology, Institute of Cyber-System and Control, Zhejiang University, Hangzhou Zhejiang 310027, China;School of Electrical and Information Engineering, Jiangsu University, Zhenjiang Jiangsu 212013, China;Institute of Automation, Zhejiang Sci-Tech University, Hangzhou Zhejiang 310018, China)

Abstract:

The robust D stabilization problem is considered for singular systems with polytopic uncertainties in this paper. Both the derivative matrix E and the state matrix A are with uncertainties, which were not considered before. First, with the introduction of some free matrices, a necessary and sufficient condition for the singular system to be D stable is proposed, based on which, the robust D stable problem is solved, and a sufficient condition for the closed system to be robust D stabilizable is obtained. The desired state feedback controller is given in an explicit expression. Numerical examples show the efficiency of the proposed approach.

Key words: Singular system Robust D stabilization Free matrices LMI region