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应用科学学报 ›› 2009, Vol. 27 ›› Issue (5): 525-531.

• 控制与系统 • 上一篇    下一篇

离散网络化群体系统一致性Hœ控制

李向舜;方华京   

  1. 1. 华中科技大学控制科学与工程系，武汉430074
    2. 武汉理工大学自动化学院，武汉430070
  • 收稿日期:2009-03-11 修回日期:2009-07-15 出版日期:2009-09-25 发布日期:2009-09-25
  • 通信作者: 李向舜，博士，研究方向：网络化控制、群体系统协调控制，E-mail: samthon_lee@163.com
  • 基金资助:
    国家自然科学基金(No.60574088, No.60874053)资助项目

Hœ Control for Consensus of Discrete-Time Networked Swarm Agents

  1. 1. Department of Control Science and Engineering, Huazhong University of Science and Technology,
    Wuhan 430074, China
    2. School of Automation, Wuhan University of Technology, Wuhan 430070, China
  • Received:2009-03-11 Revised:2009-07-15 Online:2009-09-25 Published:2009-09-25

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摘要：

针对网络化群体的一致性问题给出了状态反馈Hœ控制器存在的条件. 通过状态分解将系统状态进行适当的分解，在此基础上结合线性矩阵不等式理论、鲁棒控制理论给出了设计Hœ控制器的方法. 所设计的H1控制器可使设计后的离散群体状态达到一致，并使系统状态不一致部分为Lyapunov渐进稳定，同时满足H1控制性能. 仿真表明所得结论的正确性和有效性.

关键词: 一致性问题, 状态反馈, H1控制, 群体系统

Abstract:

Aimed at consensus of discrete-time swarm agents, the existence conditions of state feedback Hœ controller are proposed. Criteria for H1 controllers are obtained by variable decomposition based on the robust control theory and the linear matrix inequality theory. With the designed Hœ control law, the system states achieve
consensus, and the non-consensus part is Lyapunov stable, meeting the H1 performance disturbance attenuation. Simulation results show validity and effectiveness of the method.

Key words: consensus, state feedback, Hœ control, swarm system

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