离散多智能体切换系统的二阶分组一致性研究

Second-order group consensus of discrete-time multi-agent systems with stochastic switching topologies

针对随机切换拓扑条件下离散多智能体系统的二阶分组一致性问题进行了研究,设计了一种新颖的分组一致性协议。该协议不依赖于保守的假设条件,能全面反映系统中智能体在分组内与分组间的相互影响。基于矩阵理论和新协议,得到了在马尔可夫切换拓扑条件下,系统达到分组一致的充分条件。在证明过程的结尾部分,使用线性不等式(LMI)工具给出了获取协议中控制参数的算法。最后,通过数字仿真实例证明了理论结果的有效性。

This paper investigated the group consensus problems of second-order discrete-time multi-agent networks with fixed topology and stochastic switching topologies. Instead of relying on other conservative assumptions presented by the majority of the relevant existing research works,this paper presented a novel group consensus protocol which could exactly reflect the interactive influence among the agents of the multi-agent networks. It obtained the sufficient conditions of the group consensus by matrix theory and new protocol with Markov-switching topologies. Finally,it presented the LMI approach to the design of the group consensus protocol. Numerical simulations illustrate the results.