A Study on Decentralized Robust Variable Structure Control for a Class of Large Scale Dynamical Systems

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In the problem of decentralized control of a large scale interconnected system, the uncertainty in subsystems and the mutual interference between subsystems disturb the system stabilizing. In this research, some characteristic uncertainty included in a large scale system is considered. The variable structure control technique which can guarantee the stability of a large scale system in the presence of such an uncertainty was examined. In particular, the decentralized control law which combined the adaptation law was proposed so that the stability of a system could be guaranteed, even when the strength of mutual interference and the bound of the uncertainty are unknown. Moreover, the large scale system which has the mutual interference and the uncertainty which does not satisfy matching conditions was considered, and the new decentralized adaptive robust variable structure control law which can guarantee the stability of the whole system by introducing the adaptation laws which estimate the bound of uncertainty was proposed. The good result was obtained also in the simulation experiment.