Consensus of Discrete Multi-agent Systems under Switching Topologies
In this paper, we consider a multi-agent consensus problem with discrete-time high-dimensional linear coupling dynamics. The interaction topology among the agents is assumed to be switching and undirected. To achieve consensus, a neighbor-based feedback protocol is proposed for each agent. By using Schur orthogonal transformation, the multi-agent consensus problem is converted into stability problem of a switching subsystem with special structure. Based on graph theory and common lyapunov function method, some sufficient consensus conditions are established for the considered multi-agent systems. Moreover, we provide Riccati and linear matrix inequality based approaches to obtain feedback matrix. Finally, a simulation example is given to illustrate our obtained theoretical result.
Multi-agent system Discrete-time system Consensus stability Switching topology
GAO Lixin ZHANG Yan WANG Liyong
Institute of Intelligent Systems and Decision, Wenzhou University, Zhejiang 325027, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
6135-6140
2012-07-01(万方平台首次上网日期,不代表论文的发表时间)