CONSENSUS ANALYSIS AND DESIGN OF LINEAR INTERCONNECTED MULTI-AGENT SYSTEMS

doi:10.1016/S0252-9602(15)30055-2

数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (6): 1305-1317.doi: 10.1016/S0252-9602(15)30055-2

CONSENSUS ANALYSIS AND DESIGN OF LINEAR INTERCONNECTED MULTI-AGENT SYSTEMS

陈阳舟¹, 李伟^2,3, 代桂平², A.Yu. ALEKSANDROV⁴

1. College of Metropolitan Transportation, Beijing Laboratory For Urban Mass Transit, Beijing University of Technology, Beijing 100124, China;
2. College of Metropolitan Transportation, Beijing University of Technology, Beijing 100124, China;
3. Department of Electromechanical Engineering, Shijiazhuang Institute of Railway Technology, Shijiazhuang 050041, China;
4. Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, St. Petersburg, Russia

收稿日期:2015-05-18 修回日期:2015-01-12 出版日期:2015-11-01 发布日期:2015-11-01
作者简介:Yangzhou CHEN, E-mail: yzchen@bjut.edu.cn;Wei LI, E-mail: mufuli@emails.bjut.edu.cn;Guiping DAI, E-mail: daigping@bjut.edu.cn;A.Yu. ALEKSANDROV, E-mail: alex43102006@yandex.ru
基金资助:
This work was supported in part by NSF of China (61273006 and 6141101096), High Technology Research and Development Program of China (863 Program) (2011AA110301), Specialized Research Fund for the Doctoral Program of Higher Education of China(20111103110017), St. Petersburg State University (9.38.674.2013) and the Russian Foundation for Basic Research (13-01-00376-a and 15-58-53017).

CONSENSUS ANALYSIS AND DESIGN OF LINEAR INTERCONNECTED MULTI-AGENT SYSTEMS

Yangzhou CHEN¹, Wei LI^2,3, Guiping DAI², A.Yu. ALEKSANDROV⁴

1. College of Metropolitan Transportation§Beijing Laboratory For Urban Mass Transit, Beijing University of Technology, Beijing 100124, China;
2. College of Metropolitan Transportation§Beijing University of Technology, Beijing 100124, China;
3. Department of Electromechanical Engineering, Shijiazhuang Institute of Railway Technology, Shijiazhuang 050041, China;
4. Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, St. Petersburg, Russia

Received:2015-05-18 Revised:2015-01-12 Online:2015-11-01 Published:2015-11-01
Supported by:
This work was supported in part by NSF of China (61273006 and 6141101096), High Technology Research and Development Program of China (863 Program) (2011AA110301), Specialized Research Fund for the Doctoral Program of Higher Education of China(20111103110017), St. Petersburg State University (9.38.674.2013) and the Russian Foundation for Basic Research (13-01-00376-a and 15-58-53017).

摘要/Abstract

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.

关键词: linear interconnected multi-agent system (LIMAS), partial stability, state-linear-transformation, criterion of consensus convergence, consensus design

Abstract:

Key words: linear interconnected multi-agent system (LIMAS), partial stability, state-linear-transformation, criterion of consensus convergence, consensus design

中图分类号:

34D06

陈阳舟, 李伟, 代桂平, A.Yu. ALEKSANDROV. CONSENSUS ANALYSIS AND DESIGN OF LINEAR INTERCONNECTED MULTI-AGENT SYSTEMS[J]. 数学物理学报(英文版), 2015, 35(6): 1305-1317.

Yangzhou CHEN, Wei LI, Guiping DAI, A.Yu. ALEKSANDROV. CONSENSUS ANALYSIS AND DESIGN OF LINEAR INTERCONNECTED MULTI-AGENT SYSTEMS[J]. Acta mathematica scientia,Series B, 2015, 35(6): 1305-1317.

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CONSENSUS ANALYSIS AND DESIGN OF LINEAR INTERCONNECTED MULTI-AGENT SYSTEMS

CONSENSUS ANALYSIS AND DESIGN OF LINEAR INTERCONNECTED MULTI-AGENT SYSTEMS

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