Abstract: 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 accuracy of the electromechanical system model and the availability of the controlling method.

Key words: Adaptive, Hysteresis, Sliding model control, Stability, Transfer function