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This paper describes an optimal filter design method for a virtual mechanical impedance (VMI) control system. Existing passive methods for reducing machinery noise are limited in use due to weight reduction, cooling, and appearance problems. The VMI control method, which does not require a sensor and can be implemented with a small number of actuators, is an active method that can replace the existing passive methods when mechanical tuning is difficult. However, the existing VMI control method can only reduce the single-tone noise. In this regard, we improved the VMI control system to reduce the radiated sound power of the enclosure panel at multiple frequencies. To achieve this, we propose an optimal filter design method for a multichannel feedback controller. Unlike the existing VMI control, the method capable of multifrequency control considers the radiation efficiency, damping, and estimation errors of the structural-acoustic system. The controller designed using the proposed method satisfies the required robustness and minimum steadystate error in the target frequency band. The results obtained from the finite element-based model and the experimental model show that the radiated sound power of the enclosure panel is reduced at multiple target frequencies after control.

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