Abstract: To improve the interface vibration environment of the satellite and the rocket,a magnetorheological six-pole vibration isolation platform is designed. The dynamic model of the satellite vibration isolation platform is established by using the Newton-Euler method. The dynamic model of the satellite and the vibration isolation platform is built by using the fixed interface modal synthesis method. In order to study the specific frequency band attenuation, the frequency-shaping LQR (linear quadratic regulator) method which extends the system state variables by direct decomposition is used to design the semi-active control system of magnetorheological damper. The simulation results show that the frequency-shaping LQR method is better than the traditional control method, and the control effect is not deteriorated in other frequency bands. The effectiveness of the algorithm is verified.