Average-consensus of Second-order Multi-agent Systems via Sampled Control

This paper establishes some necessary and sufficient conditions for the average-consensus problem of second-order multi-agent sampled control system. It is assumed that the sampled interval of each agent is independent of the others”, I.e., the sampling interval is time-varying. By algebraic graph theory and matrix theory, a necessary and sufficient condition is derived to ensure the average-consensus. It is found that the eigenvalues of the corresponding Laplacian matrix play a key role in reaching consensus. Based on this result, an approach of how to choose the scaling parameter and time-varying sampling interval is given to guarantee the consensus. Finally, an example is provided to illustrate the effectiveness of the theoretical results.
Multi-agent systems undirected topology average-consensus sampled control time-varying sampling interval
WANG Shao-kun XIE Dong-mei
Department of Mathematics, School of Sciences, Tianjin University, Tianjin 300072, China
国内会议
烟台
英文
1-8
2011-10-21(万方平台首次上网日期,不代表论文的发表时间)