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		Zhiguo YAN,Guoshan ZHANG,Jiankui WANG.[en_title][J].Control Theory and Technology,2012,10(2):159~165.[Copy]

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ZhiguoYAN,GuoshanZHANG,JiankuiWANG
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(School of Electrical Engineering and Automation, Tianjin University; School of Electrical Engineering and Automation, Shandong Polytechnic University)

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Received:February 03, 2010Revised:September 29, 2010

基金项目:This work was supported by the National Natural Science Foundation of China (Nos. 60674019, 61074088).

Infinite horizon H-two/H-infinity control for descriptor systems: Nash game approach

Zhiguo YAN,Guoshan ZHANG,Jiankui WANG

(School of Electrical Engineering and Automation, Tianjin University; School of Electrical Engineering and Automation, Shandong Polytechnic University)

Abstract:

This paper studies the infinite time horizon mixed H-two/H-infinity control problem for descriptor systems using Nash game approach. A necessary/sufficient condition for the existence of infinite horizon H-two/H-infinity control is presented in the form of two coupled algebraic Riccati equations, respectively. Finally, a suboptimal H-two/H-infinity controller design is given based on an iterative linear matrix inequality algorithm.

Key words: Nash game approach Descriptor system H-two/H-infinity control Coupled algebraic Riccati equations Iterative linear matrix inequality algorithm