引用本文:陈世明,王培,李海英,赖强.带强连通分支的多智能体系统可控包含控制[J].控制理论与应用,2017,34(3):401~407.[点击复制]
CHEN Shi-ming,WANG Pei,LI Hai-ying,LAI Qiang.Controllable containment control of multi-agent systems with strongly connected sub-graph[J].Control Theory and Technology,2017,34(3):401~407.[点击复制]
带强连通分支的多智能体系统可控包含控制
Controllable containment control of multi-agent systems with strongly connected sub-graph
摘要点击 3373  全文点击 2328  投稿时间:2016-05-03  修订日期:2017-03-21
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DOI编号  10.7641/CTA.2017.60279
  2017,34(3):401-407
中文关键词  多智能体系统  有向网络拓扑  包含控制  领导者选择
英文关键词  multi-agent systems  directed topology  containment control  leader selection
基金项目  国家自然科学基金项目(61364017,11662002), 江西省科技厅项目(20161BBE53008)资助.
作者单位E-mail
陈世明* 华东交通大学电气学院 c1977318@hotmail.com 
王培 华东交通大学电气学院  
李海英 华东交通大学电气学院  
赖强 华东交通大学电气学院  
中文摘要
      研究有强连通子图拓扑结构的有向多智能体系统领导者选择及可控包含控制问题. 根据网络拓扑结构,智能体被分为两类: 单元智能体和一般智能体. 首先设计强连通子图中个体组成的单元智能体的一致性协议实现各 个单元的一致; 后由单元智能体和一般智能体构成新的拓扑结构, 结合复杂网络可控性理论与二分图最大匹配算法确定满足网络可控的最少领导者集合, 并为所有智能个体设计相应的控制协议, 驱使跟随者渐近收敛到多个领导者组成的动态凸包中, 从而实现网络的可控包含控制. 仿真结果验证了理论分析的正确性.
英文摘要
      In this paper, the leader selection and controllable containment for given topology that has strongly connected sub-graph of directed multi-agent systems is investigated. According to the topology structure, the agents are classified into two categories: unit agents and general agents. Firstly, the consensus protocol of unit agents in the strongly connected graph is designed to achieve consensus of each unit; Secondly, a new topological structure is constructed by unit agents and general agents. Combining the complex network controllability theory with the algorithm of bipartite graph maximum matching to determine the minimum leader set satisfying the network controllable. Then the corresponding control protocol is designed for all agents, which drives all followers to asymptotically converge to the dynamic convex hull spanned by the leaders, so as to the controllable containment control of the whole network is realized. Finally, the simulation results are provided to illustrate the correctness of the theoretical analysis.