离散多智能体系统分组一致性研究  

Group consensus of discrete-time multi-agent systems

作　　者：徐云剑 彭世国[1] 郭艾寅[2] Xu Yunjian;Peng Shiguo;Guo Aiyin(School of Automation,Guangdong University of Technology,Guangzhou 510006,China;School of Information Science&Engineering,Hunan International Economics University,Changsha 410205,China)

机构地区：[1]广东工业大学自动化学院,广州510006 [2]湖南涉外经济学院信息科学与工程学院,长沙410205

出　　处：《计算机应用研究》2018年第4期1052-1055,共4页Application Research of Computers

基　　金：国家自然科学基金资助项目(61374081);湖南省普通高等学校教学改革研究资助项目(291);湖南省教育厅科学研究资助项目(14C0651)

摘　　要：针对一阶、二阶离散多智能体系统的分组一致性问题进行了研究。为了去除现有结果的一些保守假设,提出了两个新的分组一致性协议,新的协议反映了系统相同分组内与不同分组间智能体的相互影响。基于图论和稳定性理论,经过分析得到了两个保证系统一致的充分条件。最后,通过两个仿真实例证明了理论结果的有效性。This paper investigated the group consensus problems of discrete-time multi-agent systems including first-order and second-order,respectively.Instead of relying on other conservative assumptions presented by the majority of the relevant exis-ting research works,this paper presented two novel protocols which reflected the interaction influence among the agents in a group and the interaction influence between different groups in multi-agent system.Based on graph theory and theory of stability,this work obtained analytically two conditions which could guarantee the reaching of group consensus of the multi-agent networks.Finally,two numerical simulated examples verify the validity and correctness of this theory.

关 键 词：协同控制 多智能体系统 分组一致性 固定拓扑 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]