An Improved Temperature-Dependent Prandtl-Ishlinskii Hysteresis Modelling and Parameters Recognition for Giant Magnetostrictive Actor

Aimed at the hysteresis nonlinear change problem of Giant Magnetostrictive Actuator (GMA) under temperature-related disturbance, this paper established a hysteresis nonlinear composite model containing temperature field by adopting the method of weighting temperature offset and Prandtl-Ishlinskii (PI) model. This paper firstly establishes the traditional PI model under initial temperature, then utilizes the thermal expansion of Giant Magnetostrictive Material (GMM) and the characteristic that magnetostrictive coefficient changes with temperature, according to the cooling mode of an experimental device, derives the hysteresis nonlinear composite model containing temperature offset by using heat transfer law, finally identifies the PI model parameters by nonlinear least squares method, and identifies the temperature offset model parameters by nonlinear programming function respectively. The experimental results show that the established Temperature-Dependent Prandtl-Ishlinskii Hysteresis (TD-PI) model can accurately express the hysteresis nonlinear dynamic change characteristics caused by temperature disturbance.