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牵制控制下的多智能体系统群一致性

宋海裕 俞立 胡鸿翔

控制理论与应用2012,Vol.29Issue(6):765-772,8.
控制理论与应用2012,Vol.29Issue(6):765-772,8.

牵制控制下的多智能体系统群一致性

Group consensus in multi-agent systems via pinning control

宋海裕 1俞立 1胡鸿翔1

作者信息

  • 1. 浙江工业大学信息工程学院,浙江,杭州,310023
  • 折叠

摘要

Abstract

In dealing with the group consensus problem of multi-agent systems via pinning control, we propose a consensus protocol combining the in-group information exchange, the out-group information exchange with the pinning controller for reaching more than one anticipative stationary state. By using stability and graph theories, we derive the necessary and sufficient conditions for the couple-group agent system in fixed topology and the multi-group agent system in switching topologies, respectively, such that all the agents can achieve their own consistent states asymptotically. Specially, the relation between the controlled agents and the interactive topology is analyzed for the case when the topology graph has a spanning tree. Moreover, based on the Lyapunov function method, a sufficient condition is derived for multi-group agent systems with nonlinear transmission to asymptotically reach several anticipative consistent states in switching topologies. The obtained results imply that the anticipative group consensus can be achieved if a fraction of them are controlled. Dlustrative examples are provided to demonstrate the effectiveness of the proposed methods.

关键词

多智能体系统/群一致性/牵制控制

Key words

multi-agent systems/ group consensus/ pinning control

分类

信息技术与安全科学

引用本文复制引用

宋海裕,俞立,胡鸿翔..牵制控制下的多智能体系统群一致性[J].控制理论与应用,2012,29(6):765-772,8.

基金项目

国家自然科学基金资助项目(60974017,61074039). (60974017,61074039)

控制理论与应用

OA北大核心CSCDCSTPCD

1000-8152

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