In this paper, we consider a vibration isolation control problem in case that narrow-band fre-quency disturbances are applied to a system. The frequency shaping method by
H∞control is suitable for the problem. But we can't locate closed-loop poles in preferable region even if we use the robust stability-degree assignment method, because poles of weighting functions of the generalized system become undetectable modes. In order to overcome this problem, we use extended
H∞control combined with the robust stability-degree assignment method. By the method, we can design a controller that provides desirable frequency shaping and preferable closed-loop poles location at the same time. The performance of the designed controller is conformed by experiments.
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