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Some Special Decentralized Control Problems In Continuous-Time Interconnected Systems

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  • ZHISHENG DUAN

    (State Key Laboratory for Turbulence and Complex Systems, and Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China)

  • JINZHI WANG

    (State Key Laboratory for Turbulence and Complex Systems, and Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China)

  • LIN HUANG

    (State Key Laboratory for Turbulence and Complex Systems, and Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China)

Abstract

In this paper, some decentralized control problems composed of two subsystems are addressed from a special perspective. First, it is pointed out that some subsystems must be unstable to stabilize the overall interconnected system in some special cases. Then, a special kind of decentralized control problem is studied. This kind of problem can be viewed as harmonic control among independent subsystems. Research results show that two unstable systems can generate a stable system through some effective cooperations. And a linear matrix inequality method is provided for decentralized controller design by using the parameter-dependent Lyapunov function method. Two examples are given to illustrate the results.

Suggested Citation

  • Zhisheng Duan & Jinzhi Wang & Lin Huang, 2006. "Some Special Decentralized Control Problems In Continuous-Time Interconnected Systems," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 9(03), pages 277-286.
    • Handle: RePEc:wsi:acsxxx:v:09:y:2006:i:03:n:s0219525906000744
    DOI: 10.1142/S0219525906000744
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