Modeling and control for giant magnetostrictive actuators with stress-dependent hysteresis

The stress-dependent hysteresis existing in giant magnetostrictive materials (GMM) impeded applications of such material in actuators suffered different loads. In this paper, we propose a stress-dependent model for the hysteresis in a giant magnetostrictive actuator (GMA). The model features a modification of classical Preisach operator by introducing the dependence of the density function on the stress. Some crucial properties of the stress-dependent Preisach model which is relevant to the control scheme are addressed in the paper. A detailed numerical implementation of the model is also addressed. Based on the model, an inverse control scheme is applied to GMA for the aim of tracking control. Both simulations and experiments have been conducted to verify the efficiency of the proposed model.