A novel model of piezoelectric ceramic hysteretic

Piezoelectric actuators are widely applied as actuators in micro/nano-positioning systems, due to its characteristic of infinitely small displacement resolution. While the tracking control accuracy of the piezoelectric actuator is limited due to their inherent hysteretic nonlinearity. This paper describes a mathematical model which could compensate the hysteresis of piezoelectric actuator based on an inverse control in open-loop operation. The basis of the inverse control is formed by a hysteresis mathematical model, which can describe precisely phenomena. The mathematical modeling framework could precisely predict a hysteresis path for arbitrarily assigned input profiles. The new hysteretic model makes use of polar coordinate which has the advantage that the proposed model simplifies the identification procedure of its inverse model. The model can accurately predict the response of hysteretic nonlinearity in piezoelectric ceramic actuators; utilizing a piezoelectric-driven actuator, it is experimentally demonstrated that if the memory units is sufficiently recorded, model response in the prediction of a hysteresis track is significantly improved.