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

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6期1720-1723,1737,共5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项目2015(291);湖南省教育厅科学研究项目2014(14C0651)

摘　　要：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.

关 键 词：分组一致 多智能体系统 马尔可夫切换 协调控制 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]