Objectives  Aiming at the poor control effect of the traditional adaptive filtering algorithm for multi-frequency excitation in vibration control, and the engineering problems of difficult sensor installation and channel coupling that cause reference signal mismatch, this paper proposes a feedback multi-line spectrum control algorithm.

  Methods  First, the error signal is passed through the cascaded adaptive notch filter, and the notch filter parameters are updated according to the adaptive algorithm to estimate multiple signal frequencies. Next, each reference signal is synthesized and phase compensation performed, then another reference signal is obtained through Hilbert transform and the parallel controller is finally entered to complete the amplitude update and realize vibration control.

  Results  Through simulation and experimental verification, the results show that the proposed algorithm can accurately estimate frequency information, synthesize reliable reference signals and achieve 20–40 dB energy attenuation for 30, 37, 60 and 110 Hz line spectrums.

  Conclusions  This algorithm provides a better solution to the problems of reference signal mismatch and multi-line spectrum vibration in vibration control, and effectively reduces and suppresses low-frequency vibration energy transmission.