The linear quadratic regulator (LQR) optimal control strategy of the magneto rheological (MR) damper is worked shimmy damper of nose landing gear using semi-active control style, considering the wheel yaw angle and yaw angle velocity and lateral displacement of the impact. The spencer model was used to characterize the dynamic characteristics of MR damper, and the mathematical model of the shimmy of the nose landing gear was established. The stable area of the damper in different yaw angles and yaw angles velocity was analyzed. The vibration response and control performance of the nose landing gear system were compared and analyzed. Simulation results show that in the aircraft taxiing speed range, the semi-active linear quadratic optimal control used for production of MR damper can effectively inhibite nose landing gear shimmy.