对抗网络下时滞非线性多智能体系统固定时间二分一致性

Fixed-time bipartite consensus of delayed nonlinear multi-agent systems under antagonistic network

中文关键词  非线性多智能体系统  输入时延  固定时间控制  二分一致性

英文关键词  nonlinear multi-agent systems  input delay  fixed-time control  bipartite consensus

中文摘要

      本文针对一类存在输入时延的非线性多智能体系统, 研究了其在结构平衡的无向符号图下的固定时间二 分一致性问题. 首先, 本文针对智能体间相互合作与相互竞争的关系, 设计了一类存在输入时延的多智能体系统固 定时间分布式一致性控制协议, 使得系统状态在固定时间内收敛到数值相同但符号相反的两个值, 且收敛时间上界 与初始状态无关. 随后, 利用Lyapunov稳定性理论和代数图论给出了在存在输入时延的情况下多智能体系统实现固 定时间二分一致性的充分条件和收敛时间的上界值, 证明了控制算法的稳定性. 最后, 仿真实例验证了所提固定时 间二分一致性算法和理论结果的有效性.

英文摘要

      In this paper, the fixed-time bipartite consensus problem is investigated for a class of nonlinear multi-agent systems with input delay under an undirected signed graph, and the signed graph is structurally balanced. Firstly, a fixedtime distributed consensus control protocol of multi-agent systems with input delay is designed for the cooperation and competition behaviors among agents, which guarantees the system states converge to two same values but opposite signs in a fixed time, and the upper bound of convergence time is independent of the initial states. Then, the sufficient conditions are proposed for the multi-agent systems to achieve the fixed-time bipartite consensus with input delay by using the Lyapunov stability theory and algebraic graph theory, and the stability of the control algorithm is proved. Meanwhile, the upper bound of convergence time is given. Finally, the effectiveness of the proposed fixed-time bipartite consensus algorithm and the theoretical analysis results are illustrated by the simulation examples.