In view of the defect of the classical PID which is difficult to obtain good control effect in the rocket AC position servo system where large changes of moment in the scope and the torque impact of gas flow exist, a position controller with compound control strategy of the nonlinear PID and RBF adaptive PID was designed. With the controller, the weaknesses that the nonlinear PID parameters can only change according to fixed rules, RBF adaptive PID limited applications and offline sample selection problems were surmounted. The simulation results show that the control strategy is robust to parameter perturbations and load disturbance, and can improve the control system's dynamic response effectively.