Distributed containment control of uncertain linear multi-agent systems

This paper studies the containment control problem for uncertain linear multi-agent systems where the agents have identical nominal dynamics but subject to different norm-bounded parameter uncertainties. A new kind of distributed control protocol based only on the relative states of neighboring agen...

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Bibliographic Details
Published in2012 10th World Congress on Intelligent Control and Automation (WCICA pp. 869 - 874
Main Authors Guanghui Wen, Zhisheng Duan, Yu Zhao, Guanrong Chen
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2012
Subjects
consensus
containment control
Control systems
Linear matrix inequalities
Multi-agent system
Multiagent systems
nonsmooth analysis
parameter uncertainty
Protocols
Topology
Uncertain systems
Vectors
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ISBN9781467313971
1467313971
DOI10.1109/WCICA.2012.6358001

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Summary:This paper studies the containment control problem for uncertain linear multi-agent systems where the agents have identical nominal dynamics but subject to different norm-bounded parameter uncertainties. A new kind of distributed control protocol based only on the relative states of neighboring agents is constructed for achieving containment. By using tools from nonsmooth analysis and algebraic theory, it is proved that the states of the followers will asymptotically converge to a convex hull formed by those of the leaders if for each follower there exists at least one leader that has a directed path to that follower. Finally, a simulation example is given to verify the effectiveness of the theoretical results.
ISBN:9781467313971
1467313971
DOI:10.1109/WCICA.2012.6358001