在联合连通的切换拓扑结构下,首次研究具有多时变时滞的二阶多智能体系统的编队控制问题.设计智能体分布式编队控制协议,通过模型变换并运用Lyapunov-Krasovskii理论分析系统的稳定性,以线性矩阵不等式(LMIs)的形式给出了多智能体系统实现稳定编队的充分条件.分析具有环形联合连通拓扑结构的系统的优越性,并通过仿真实验来验证算法的正确性和有效性.研究结果表明,只需在联合连通的通讯拓扑结构下,提出的方法就能使得系统实现理想的速度和稳定的编队,并且允许系统存在多个更大的时变时延.
Formation control problem of second-order multi-agent systems with coupling time-varying delays and switching topologies is firstly investigated in this research.A distributed formation control protocol is designed based on consensus theory.By introducing model transformation method and Lyapunov-Krasovskii theory,some sufficient conditions in terms of linear matrix inequalities(LMIs)are given for stable formation control of multiagent systems and then the priority of a system with circular jointly-connected topologies is analyzed.Finally,simulation results are provided to verify the validity and effectiveness of our theoretical results.The research shows that multi-agent systems with longer time-varying delays can achieve expected stable formation as well as desirable velocity just under a jointly-connected topology.