An enhanced Duhem model of magnetostrictive material-based actuators

摘要

In this paper, a first-order system with hysteretic characteristics is used to describe the hysteresis caused by the inertia ofthe internal magnetic domain of magnetostrictive materials. A shape function is introduced to describe the interaction ofdifferent magnetic domains inside of magnetostrictive materials and the saturation properties of the hysteresis. Under aproposed frame of “first-order system (inertial system) + shape function” (ISSF-Duhem model), a new hysteresis modelis proposed for magnetostrictive actuators. Specifically, the expression of the first-order system is constructed based on itsgeneral expression, and the Grompertz function is employed as the shape function. Feasibility and capability of thehysteresis model are verified and evaluated by describing and predicting the hysteresis of a commercial magnetostrictiveactuator.