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

作     者：Jing WANG Xiaohong NIAN Haibo WANG 

作者机构：School of Information Science and EngineeringCentral South UniversityChangsha Hunan 410083China 

出 版 物：《控制理论与应用（英文版）》 (Journal of Control Theory and Applications)

年 卷 期：2012年第10卷第3期

页      面：403-409页

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 081104[工学-模式识别与智能系统] 0802[工学-机械工程] 0835[工学-软件工程] 0811[工学-控制科学与工程] 080201[工学-机械制造及其自动化] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(Nos.61075065,60774045,Ul 134108) the Ph.D.Programs Foundation of Ministry of Education of China(No.20110162110041) 

主　　题：Cooperative control Bilinear matrix inequality （BMI） Multi-agent system 

摘      要：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.