Rotating stall and surge are two major unstable forms in axial flow compressors and limit the maximum range of the stable performance of the compressors. A new control strategy with nonlinear feedbacks for the rotating stall and the surge is proposed in this paper. The pressure rise is considered as a feedback to compensate the value of the throttle coefficient. The results show that the new control method is simple but can destroy the hysteresis loop associated with rotating stall so that it is avoided that the compressor enter into the surge.