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Open Access Article

Journal of Electrical Engineering and Automation. 2024; 3: (1) ; 15-23 ; DOI: 10.12208/j.jeea.20240003.

The leader-following consensus of uncertain multi-agent system under semi-Markov switching in cooperative and competitive networks
基于合作竞争关系的不确定多智能体系统在半马尔可夫切换下的领导跟随一致性研究

作者: 张玲侠 *, 张玉林

重庆城市科技学院 重庆

*通讯作者: 张玲侠,单位:重庆城市科技学院 重庆;

发布时间: 2024-04-24 总浏览量: 95

摘要

基于合作竞争关系,讨论了不确定多智能体系统在半马尔可夫切换下的领导跟随一致性问题。针对不确定多智能体系统,构造了包含合作竞争关系和半马尔可夫切换拓扑结构以及误差系数的多智能体系统指数均方一致性协议。通过该协议,多智能体系统的领导跟随一致性问题被转换为具有时变延迟的一类马尔可夫跳跃系统的稳定性问题。通过构造李雅普诺夫函数方法和采用弱无穷小算子的方法,推导出稳定性结论。使得系统实现领导跟随指数均方一致性。基于该结论,通过求解线性矩阵不等式来获得控制器增益。仿真实例说明了理论结果的有效性。

关键词: 领导跟随;半马尔可夫切换;合作竞争关系;不确定系统;指数均方一致性

Abstract

Based on cooperative-competitive relation, the leader-following consensus of uncertain multi-agent system (UMAS) under semi-Markov switching has been discussed. For UMAS, an exponential mean-square consensus protocol with cooperative-competitive relation, semi-Markov switching topology and error coefficient has been designed. Through the protocol, the leader-following consensus problem of UMAS can be converted into a stability problem of Markov jump system with a time-varying delay. Stability conclusions have been derived by constructing the Lyapunov function and using the weak infinitesimal operator. This has enabled the system to achieve leader-following exponential average-square consensus. Based on this conclusion, the controller gain has been obtained by solving the linear matrix inequality. Simulation examples illustrate the validity of theoretical results.

Key words: Leader-following; Semi-Markov switching; Cooperative-competitive relation; UMAS; exponen-tial mean-square consensus

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引用本文

张玲侠, 张玉林, 基于合作竞争关系的不确定多智能体系统在半马尔可夫切换下的领导跟随一致性研究[J]. 电气工程与自动化, 2024; 3: (1) : 15-23.