A giant magnetostrictive actuator (GMA) is proposed, which consists of giant magnetostrictive material (GMM) combined with buckling micro-displacement magnification mechanism. The control system transfer function model for GMA was built up. The phase-frequency and amplitude-frequency responses of the system were analyzed and experimented, which reasonably explains why the hysteretic curve changes with input signal frequency. In order to mitigate the effect of the hysteresis, the control method for compensating hysteresis was proposed by combining the inverse model and phase-angle compensation....