CONSENSUS ANALYSIS AND DESIGN OF LINEAR INTERCONNECTED MULTI-AGENT SYSTEMS

被引：0

作者：

陈阳舟 ^{[1
]}

李伟 ^{[2
,3
]}

代桂平 ^{[4
]}

A.Yu.ALEKSANDROV ^{[5
]}

机构：

[1] College of Metropolitan Transportation Beijing Laboratory For Urban Mass Transit,Beijing University of Technology

[2] College of Metropolitan Transportation Beijing University of Technology, Beijing 100124, China

[3] Department of Electromechanical Engineering, Shijiazhuang Institute of Railway Technology

[4] College of Metropolitan Transportation Beijing University of Technology

[5] Faculty of Applied Mathematics and Control Processes, St.Petersburg State University

来源：

Acta Mathematica Scientia | 2015年 / 35卷 / 06期

基金：

俄罗斯基础研究基金会; 高等学校博士学科点专项科研基金;

关键词：

linear interconnected multi-agent system(LIMAS); partial stability; statelinear-transformation; criterion of consensus convergence; consensus design;

D O I：

暂无

中图分类号：

TP18 [人工智能理论]; TP13 [自动控制理论];

学科分类号：

0711 ; 071102 ; 0811 ; 081101 ; 081103 ; 081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We deal with the state consensus problem of a general Linear Interconnected Multi-Agent System(LIMAS) under a time-invariant and directed communication topology.Firstly,we propose a linear consensus protocol in a general form,which consists of state feedback of the agent itself and feedback form of the relative states between the agent and its neighbors.Secondly,a state-linear-transformation is applied to equivalently transform the state consensus problem into a partial stability problem.Based on the partial stability theory,we derive a sufficient and necessary criterion of consensus convergence,which is expressed via the Hurwitz stability of a real matrix constructed from the parameters of the agent models and the protocols,and present an analytical formula of the consensus function.Lastly,we propose a design procedure of the gain matrices in the protocol by solving a bilinear matrix inequality.

引用

页码：1305 / 1317

页数：13

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