Consensus problem of high‐order multi‐agent systems with external disturbances: An  H  ∞  analysis approach | Zendy

Liu Yang | Zendy; Jia Yingmin | Zendy

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Consensus problem of high‐order multi‐agent systems with external disturbances: An H ∞ analysis approach

Author(s) -

Liu Yang,

Jia Yingmin

Publication year - 2010

Publication title -

international journal of robust and nonlinear control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.361

H-Index - 106

eISSN - 1099-1239

pISSN - 1049-8923

DOI - 10.1002/rnc.1531

Subject(s) - protocol (science) , network topology , multi agent system , transformation (genetics) , consensus , computer science , order (exchange) , mathematical optimization , control theory (sociology) , topology (electrical circuits) , control (management) , mathematics , computer network , artificial intelligence , medicine , biochemistry , chemistry , alternative medicine , finance , pathology , combinatorics , economics , gene

This paper is devoted to the output consensus problem of directed networks of multiple high‐order agents with external disturbances, and proposes a distributed protocol using the neighbors' measured outputs. By defining an appropriate controlled output and conducting a model transformation in two steps, consensus performance analysis of the multi‐agent system under the proposed protocol is transformed into a normal H ∞ problem. Then using H ∞ theory of linear systems, conditions are derived to ensure the consensus performance with a prescribed H ∞ index for networks with fixed and switching topologies, respectively. A numerical example of the formation control application is included to validate the theoretical results. Copyright © 2009 John Wiley & Sons, Ltd.

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