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SOME SPECIAL DECENTRALIZED CONTROL PROBLEMS IN CONTINUOUS-TIME INTERCONNECTED SYSTEMS

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

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JINZHI WANG

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

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LIN HUANG

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

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https://doi.org/10.1142/S0219525906000744Cited by:5 (Source: Crossref)

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.

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