Distributed Predefined-time Consensus Tracking Protocol for Multi-agent Systems

Donglin Gao, Yijian Pei, Yunkai Liu, Jiude Zhu
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Abstract

Predefined-time control has attracted a lot of researchers' interest in recent years, since it can provide a clear upper bound of settling time that does not depend on the initial states of the system. Based on graph theory, a predefined-time distributed consensus tracking protocol for first-order multi-agent system consisting of n followers and one leader is proposed. This protocol can guarantee the tracking errors between the followers and the leader converge to zero in predefined time and it is a distributed protocol since it uses only the information of each agent's neighbors, so it is more robust compared with the centralized one. The stability of the protocol is proved by utilizing Lyapunov stability theory. The numerical simulation shows the effectiveness of the proposed distributed controller.
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多智能体系统的分布式预定义时间一致性跟踪协议
由于预定义时间控制可以提供一个不依赖于系统初始状态的明确的稳定时间上界,近年来引起了许多研究人员的兴趣。基于图论,提出了一种由n个follower和1个leader组成的一阶多智能体系统的预定义时间分布式一致性跟踪协议。该协议可以保证follower和leader之间的跟踪误差在预定义的时间内收敛到零,并且它是一种分布式协议,因为它只使用每个agent的邻居信息,因此比集中式协议更具鲁棒性。利用李雅普诺夫稳定性理论证明了协议的稳定性。数值仿真结果表明了所提出的分布式控制器的有效性。
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