具有对抗性节点的多智能体系统的固定时间准包围控制  

Fixed-Time Quasi-Containment Control of Multi-Agent Systems with Antagonistic Nodes

作　　者：石杰鹏 刘宏亮[1] 欧阳自根[1] 彭湘凌 

机构地区：[1]南华大学数理学院,湖南 衡阳 [2]湖南财经工业职业技术学院公共课部,湖南 衡阳

出　　处：《理论数学》2021年第6期1146-1155,共10页Pure Mathematics

摘　　要：本文研究了具有对抗性节点的多智能体系统的固定时间准包围控制问题。基于代数图论和固定时间稳定性定理,通过设计一个新的控制协议,具有对抗性节点的多智能体系统可以在有限时间内实现准包围控制。同时给出了多智能体系统实现固定时间准包围控制的稳定时间上界估计式。最后通过Matlab仿真,验证了所获理论结果的有效性。In this paper, the problem of fixed-time quasi-containment control for multi-agent systems with antagonistic nodes is studied. Based on algebraic graph theory and fixed-time stability theorem, by designing a new control protocol, multi-agent systems with antagonistic nodes can realize qua-si-containment control in finite time. Moreover, the upper bound estimation of the settling time for multi-agent systems to realize fixed-time quasi-containment control is given. Finally, the validity of the theoretical results is verified by Matlab simulation.

关 键 词：多智能体系统 准包围控制 固定时间稳定性 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]