This paper proposes a new method that is an optimization design of a passive vibration system based on linear control theory. A Force generated by spring and damper that are the design parameters of the passive vibration system have the same properties with a PD controller. So it is possible to apply a method that shapes an open-loop transfer function of the PD controller based on the GKYP lemma. By using the method, the gain and the phase of the transfer function can be designed with respect to each frequency band. As a result, it is not necessary to solve a difficult problem that is a bilinear matrix inequality problem obtained by an ordinary formulation.

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