基于连通二部图的二阶多智能体系统分组一致性分析  

Group Consensus Analysis on Second-order Multi-agent Systems Based on the Connected Bipartite Graph

作　　者：林瑜阳 李钟慎[1] LIN Yuyang LI Zhongshen(College of Mechanical Engineering and Automation, Huaqiao University, Xiamen 361021, China)

机构地区：[1]华侨大学机电及自动化学院,福建厦门361021

出　　处：《信息与控制》2017年第1期7-12,共6页Information and Control

基　　金：福建省自然科学基金资助项目(2013J05077);福建省厦门市集美区科技计划资助项目(20137C01);中央高校基本科研业务费资助项目(JB-ZR1107);华侨大学研究生科研创新能力培育计划资助项目

摘　　要：在连通二部图拓扑结构下,针对二阶连续时间系统,研究了多智能体的分组一致问题.根据连通二部图的特性,设计了基于竞争的二阶多智能体系统分组一致控制协议;利用代数图论和矩阵论,分析并得到了二阶多智能体系统实现分组一致的充分条件,同时得到两个分组的一致平衡点.仿真结果表明,连通二部图下的二阶多智能体系统可实现分组一致.Under a connected bipartite graph topology,we investigate the group consensus problem of multi-agent systems for second-order continuous-time systems.Based on the properties of the connected bipartite graph,we design a group consensus control protocol based on competition for the second-order multi-agent systems.We analyze the group consensus and obtain the sufficient conditions for group consensus of the second-order multi-agent systems based on the algebraic graph and matrix theories.We then obtain the consensus equilibriums of the subgroups.The simulation results indicate that second-order multi-agent systems can achieve group consensus under a connected bipartite graph.

关 键 词：多智能体系统 连通二部图 分组一致性 平衡点 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]