A giant magnetostrictive actuator (GMA) is designed, analyzed and experimentally studied. The electromechanical system model is built for the GMA, which is connected in series by two subsystems: rate-independent hysteretic model; transfer function which isn't involved in the effect of hysteresis. In order to mitigate the effect of the hysteresis, the variable structure control based on Prandtl-Ishlinskii (PI) model is proposed, and the adaptive control law for the variable structure control is deduced from the Lyapunov stability theorem. The emulational and experimental results confirm the acc...