Adaptive modified Prandtl-Ishlinskii model for compensation of hysteretic nonlinearities in magnetic shape memory actuators

In this paper we develop an adaptive version of the so-called modified Prandtl-Ishlinskii model of hysteresis. This model is able to capture various shapes of hysteresis and, moreover, it admits an explicit mathematical formulation for the inverse model. The Lyapunov-based adaptation is then used to compensate the hysteretic nonlinearities of an unconventional actuator based on magnetic shape memory alloys.