事件触发机制下时滞二阶多智能体系统一致性研究  

Consistency of Time-delayed Second-order Multi-agent Systems under Event-triggered Mechanism

作　　者：甘凤金 陈展衡 GAN Fengjin;CHEN Zhanheng

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《科技创新与应用》2025年第11期23-27,共5页Technology Innovation and Application

基　　金：新疆维吾尔自治区自然科学基金资助项目(2024D01C196);国家自然科学基金项目(62003289,62163035);新疆维吾尔自治区天山英才培养计划(2022TSYCLJ0004);伊犁师范大学校级重点项目资助(2024YSZD001);中央引导地方科技发展专项资金项目(ZYYD2022A05)。

摘　　要：该文针对时滞的二阶多智能体系统,设计基于事件触发机制下的多智能体系统领导-跟随一致性控制策略,有效地减少控制器的更新次数,达到节省网络和计算资源的目的。首先利用图论知识、Lyapunov稳定性理论、矩阵理论等证得多智能体系统趋于一致的充分条件,其次证明相邻2次触发时间间隔大于0,即排除芝诺行为,最后用数值仿真验证结论的有效性和正确性。In this paper,a leader-follower consistency control strategy for multi-agent systems with time-delay is designed based on event-triggered mechanism,which effectively reduces the number of controller updates and saves network and computing resources.First,the sufficient conditions for multi-agent systems to become consistent are proved by using graph theory knowledge,Lyapunov stability theory,matrix theory,etc.,and then it is proved that the time interval between two adjacent triggers is greater than 0,which excludes Zeno behavior.Finally,numerical simulation is used to verify the validity and correctness of the conclusion.

关 键 词：领导-跟随一致性 多智能体系统 时滞 事件触发机制 二阶 

分 类 号：O231[理学—运筹学与控制论]