A matrix inequality based design method for consensus problems in multi-agent systems

Guisheng Zhai, Shohei Okuno, Joe Imae, Tomoaki Kobayashi

研究成果: Article査読

19 被引用数 (Scopus)

抄録

In this paper, we study a consensus problem in multi-agent systems, where the entire system is decentralized in the sense that each agent can only obtain information (states or outputs) from its neighbor agents. The existing design methods found in the literature are mostly based on a graph Laplacian of the graph which describes the interconnection structure among the agents, and such methods cannot deal with complicated control specification. For this purpose, we propose to reduce the consensus problem at hand to the solving of a strict matrix inequality with respect to a Lyapunov matrix and a controller gain matrix, and we propose two algorithms for solving the matrix inequality. It turns out that this method includes the existing Laplacian based method as a special case and can deal with various additional control requirements such as the convergence rate and actuator constraints.

本文言語English
ページ(範囲)639-646
ページ数8
ジャーナルInternational Journal of Applied Mathematics and Computer Science
19
4
DOI
出版ステータスPublished - 2009 12 1
外部発表はい

ASJC Scopus subject areas

  • コンピュータ サイエンス(その他)
  • 工学(その他)
  • 応用数学

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