Based on the LQR(linear quadratic regulator) control method, a frequency domain weighted LQR controller was designed. By improving the commonly used filters, a new filter design idea was proposed. When the vibration source frequency is lower than the lower limit response frequency of the actuator and the actuator produces a reduced output, the control performance of the frequency band lower than the lower limit of the actuator response is improved by changing the filter parameters, increasing the weight and control force of the low-frequency part. The simulation results show that the frequency domain weighting method can improve the control performance of the LQR controller in a specific frequency domain, and the control performance of the improved frequency domain weighted LQR controller based on the new filter is further improved beyond the lower limit response frequency.