Consensus in discrete-time one-sided Lipschitz nonlinear multi-agent systems with time-varying communication delay

被引:5
|
作者
Tian, Yun [1 ,2 ]
Guo, Yanping [1 ]
Ji, Yude [1 ]
机构
[1] Hebei Univ Sci & Technol, Sch Sci, Shijiazhuang 050018, Hebei, Peoples R China
[2] Yanching Inst Technol, Sch Architecture, Langfang 065201, Hebei, Peoples R China
关键词
Discrete-time multi-agent systems; Time-varying delay; Consensus problem; One-sided Lipschitz condition; LEADER-FOLLOWING CONSENSUS; INPUT OBSERVER DESIGN; KALMAN FILTER; AGENTS; COORDINATION; ALGORITHM; NETWORKS; VISION;
D O I
10.1016/j.ejcon.2022.100638
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper discusses consensus in discrete-time nonlinear multi-agent systems with time-varying delay in a directed communication topology. Since each agent can obtain information only from its neighbouring agents, for the purpose of analysis, a consensus protocol is proposed that considers the relative position information between the leader and followers and between neighbouring followers under time-varying communication delay. This nonlinear problem is solved by employing nonlinear behaviour based on the one-sided Lipschitz method. By constructing an appropriate Lyapunov-Krasovskii function, the consensus criterion for the leader-following problem is established in terms of the linear matrix inequality (LMI) framework. Furthermore, the solution of gain matrix is addressed by utilizing the cone complementarity linearization (CCL) algorithm. The results of a numerical simulation indicate that this method can be used to effectively solve this problem. (c) 2022 European Control Association. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页数:8
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