CONSENSUS ANALYSIS AND DESIGN OF LINEAR INTERCONNECTED MULTI-AGENT SYSTEMS

作     者：陈阳舟 李伟 代桂平 A.Yu.ALEKSANDROV 

作者机构：College of Metropolitan Transportation Beijing Laboratory For Urban Mass TransitBeijing University of Technology College of Metropolitan Transportation Beijing University of Technology Beijing 100124 China Department of Electromechanical Engineering Shijiazhuang Institute of Railway Technology College of Metropolitan Transportation Beijing University of Technology Faculty of Applied Mathematics and Control Processes St.Petersburg State University 

基　　金：supported in part by NSF of China(61273006 and 6141101096) High Technology Research and Development Program of China(863Program)(2011AA110301) Specialized Research Fund for the Doctoral Program of Higher Education of China(20111103110017) St.Petersburg State University(9.38.674.2013) the Russian Foundation for Basic Research(13-01-00376-a and 15-58-53017) 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2015年第35卷第6期

页      码：1305-1317页

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.

主 题 词：linear interconnected multi-agent system (LIMAS) partial stability state-linear-transformation criterion of consensus convergence consensus design 

学科分类：0711[理学-心理学类] 12[管理学] 1201[管理学-管理科学与工程类] 07[理学] 081104[081104] 08[工学] 0835[0835] 081101[081101] 0811[工学-水利类] 0812[工学-测绘类] 071102[071102] 081103[081103] 

核心收录：

D　O　I：10.1016/S0252-9602(15)30055-2

馆 藏 号：203116662...