线性多智能体系统的一致性  

Consensus control of linear multi-agent systems

作　　者：景丽[1] JING Li(College of Mathematics and Systems Science, Shenyang Normal University, Shenyang 110034, China)

机构地区：[1]沈阳师范大学数学与系统科学学院,沈阳110034

出　　处：《沈阳师范大学学报（自然科学版）》2021年第6期519-522,共4页Journal of Shenyang Normal University:Natural Science Edition

基　　金：辽宁省科技厅自然科学基金资助项目(20192D0482)。

摘　　要：对线性多智能体系统的协同一致性问题进行了研究。从节省通信资源、减少信息计算时间,以及使多智能体系统尽快实现状态一致的目的出发,修正现有的分布式控制器设计思路,给出新控制器设计方案;针对一阶、高阶线性多智能体系统及饱和多智能体系统,分别提出实现系统状态一致所应满足的充分条件,并运用Lyapunov稳定性理论、结合矩阵论、图论知识加以证明;运用MATLAB软件的LMI和SIMULINK工具箱进行求解和仿真,仿真结果显示新提出的控制协议可以快速地使系统状态达到一致。所提出的新控制器设计方案有广泛的应用领域,不仅可以镇定高阶多智能体系统,还可以镇定饱和多智能体系统等。The problems of consensus control of linear multi-agent systems are considered in this paper.From the perspective of saving communication resources,decreasing computation time and fast realizing of state consensus of multi-agent systems,we point out that the current used control protocol in many papers exists some faults.Instead we propose a new control protocol.Further for first order,second-order multi-agent systems and multi-agent systems with actuator saturation,sufficient conditions are respectively given to achieve state consensus.The results are proved by Lyapunov stability theory,matrix theory and graph theory.The new control protocol can be applied in many fields.It can stabilize multi-agent systems with high order and constrains.

关 键 词：多智能体系统 一致性控制 控制策略 稳定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]