一类异构多个体系统的广义平均一致性分析  

Generalized Average Consensus Analysis for a Class of Heterogeneous Multi-agent Systems in Directed Topology

作　　者：孙一杰[1,2] 张国良[1] 张胜修 曾静[3] 

机构地区：[1]第二炮兵工程大学三系 [2]中国人民解放军96211部队 [3]第二炮兵工程大学理学院

出　　处：《控制工程》2015年第4期756-760,共5页Control Engineering of China

基　　金：陕西省科技攻关项目(2012K06-45)

摘　　要：针对1阶、2阶个体组成的异构多个体系统难以确定最终收敛值的问题,对离散时间异构多个体系统固定和动态拓扑下的广义平均一致性问题进行了研究。首先,对包含1阶和2阶个体的离散时间异构多个体系统进行了描述,对不同个体采用相应的控制协议,提出了离散时间异构系统广义平均一致性的定义。然后,采用非负矩阵理论和无限矩阵乘积等方法,分别分析得出了离散时间异构系统在固定拓扑和动态拓扑条件下实现广义平均一致性的充分条件。最后,通过仿真对该结论进行了验证。The generalized average consensus problem of heterogeneous multi-agent systems with discrete-time composed of first-order agent and second-order agent is studied, owing to it is difficult to obtain convergence value. Firstly, the heterogeneous multi-agent system with discrete-time is introduced; two consensus protocols are constructed for first-order agents and second-order agents respectively, and the definition of generalized average consensus is presented. Then, based on the theory of nonnegative matrices and infinite matrix products, the sufficient conditions are provided for achieving generalized average consensus in fixed and dynamical switching topology. Numerical simulations are given to demonstrate the effectiveness of the theoretical results.

关 键 词：异构多个体 广义平均一致性 动态拓扑 无限矩阵乘积 

分 类 号：TP24[自动化与计算机技术—检测技术与自动化装置]