Passivity-based decentralized stabilization of multi-agent systems with uncertainty and mixed delays  

作　　者：Lianzeng MA Xuebo CHEN Huaguang ZHANG 

机构地区：[1]School of Information Science and Engineering,Northeastern University [2]School of Electronics and Information Engineering,University of Science and Technology Liaoning

出　　处：《控制理论与应用（英文版）》2013年第4期579-585,共7页

基　　金：supported by the National Natural Science Foundation of China(Nos.60874017,50977008,60821063,61034005);the National High Technology Research and Development Program of China(No.2009AA04Z127);the National Basic Research Program of China(No.2009CB320601)

摘　　要：In this paper, we investigate a decentralized stabilization problem of uncertain multi-agent systems with mixed delays including discrete and distributed time-varying delays based on passivity stability. We design a decentralized state-feedback stabilization scheme such that the family of closed-loop feedback subsystems enjoys the delay-dependent passivity stability for each subsystem. Then, by employing a new Lyapunov-Krasovskii function, a linear matrix inequality （LMI） approach is developed to establish the delay-dependent criteria for the passivity stability of multi-agent systems. The sufficient condition is given for checking the passivity stability. The proposed LMI result is computationally efficient. An example is given to show the effectiveness of the method.In this paper, we investigate a decentralized stabilization problem of uncertain multi-agent systems with mixed delays including discrete and distributed time-varying delays based on passivity stability. We design a decentralized state-feedback stabilization scheme such that the family of closed-loop feedback subsystems enjoys the delay-dependent passivity stability for each subsystem. Then, by employing a new Lyapunov-Krasovskii function, a linear matrix inequality （LMI） approach is developed to establish the delay-dependent criteria for the passivity stability of multi-agent systems. The sufficient condition is given for checking the passivity stability. The proposed LMI result is computationally efficient. An example is given to show the effectiveness of the method.

关 键 词：Multi-agent systems Passivity stability Decentralized stabilization Time-delay systems 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]