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		Jing WANG,Xiaohong NIAN,Haibo WANG.[en_title][J].Control Theory and Technology,2012,10(3):403~409.[Copy]

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JingWANG,XiaohongNIAN,HaiboWANG
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(School of Information Science and Engineering, Central South University)

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Received:April 17, 2010Revised:April 13, 2011

基金项目:This work was supported by the National Natural Science Foundation of China (Nos. 61075065, 60774045, U1134108), and the Ph.D. Programs Foundation of Ministry of Education of China (No. 20110162110041).

Cooperative control of discrete-time linear multi-agent systems with fixed information structure

Jing WANG,Xiaohong NIAN,Haibo WANG

(School of Information Science and Engineering, Central South University)

Abstract:

In this paper, a cooperative control problem was investigated for discrete-time linear multi-agent systems with fixed information structure and without communication delays. Based on the bilinear matrix inequality (BMI), the sufficient condition was obtained for the stabilization of multi-agent systems composed of N agents. Then, the design problems of cooperative controllers were converted into the optimization problems with BMI constraints. To solve these problems, an optimization algorithm was proposed. Finally, numerical examples were provided to demonstrate the reduced conservatism of the proposed condition.

Key words: Cooperative control Bilinear matrix inequality (BMI) Multi-agent system