基于辅助系统方法的多智能体系统在半马尔可夫切换拓扑下的一致性控制  

Consistency Control of Multi-Agent Systems Based on Auxiliary System Method in Semi-Markov Switching Topology

作　　者：李建军 LI Jian-jun(Data Science and Information Engineering College,Guizhou Minzu University,Guiyang 550025,China)

机构地区：[1]贵州民族大学数据科学与信息工程学院,贵州贵阳550025

出　　处：《遵义师范学院学报》2025年第1期78-81,共4页Journal of Zunyi Normal University

摘　　要：作者研究了多智能体系统在半马尔可夫切换通信拓扑的领导-跟随者一致性问题。首先,利用半马尔可夫过程描述智能体间的通信拓扑的随机切换,由于这种随机切换会导致系统的稳定性分析变得更加困难,因此引入了一种辅助系统方法来处理它.其次,设计了与切换模式相关的控制协议,通过辅助系统来构造李雅普诺夫函数,得到了多智能体系统的领导-跟随者一致性的充分条件。最后,通过一个数值仿真例子验证了理论结果的可靠性。The paper studied the leader follower consensus problem of multi-agent systems in semi Markov switching communication topology.Firstly,a semi Markov process is used to describe the random switching of communication topology between intelligent agents.As this random switching makes the stability analysis of the system more difficult,an auxiliary system approach is introduced to address this issue.Secondly,control protocols related to switching modes were designed,and Lyapunov functions were constructed by using auxiliary systems to obtain sufficient conditions for leader follower consistency in multi-agent systems.Finally,the reliability of the theoretical results was verified through a numerical simulation example.

关 键 词：多智能体系统 半马尔可夫过程 辅助系统方法 领导-跟随者一致性 

分 类 号：O231.1[理学—运筹学与控制论]