A fast tool servo mechanism with a piezoelectric actuator has attracted more attention for its excellent machining way and high resolution.In this paper

the classical Preisach hysteresis modeling for a Fast Tool Servo (FTS) system subjected to the dynamic voltage excitations is presented. As a universal driving element for the FTS system

the piezoelectric actuator exhibits specific nonlinearity from the hysteresis effect between the displacement and the applied electric field

which is a key factor limiting the dynamic performance of the FTS system. To establish a mathematical model to describe the hesteresis for the FTS system

the numerical expressions of the classical Preisach model are presented in details

and a series of test are conducted to study the hysteresis property and to find out the congruency and wipe-out properties of the FTS system. Finally

the classical Preisach model is applied to simulate the hysteresis behavior of the FTS system. Experimental results indicate that the measured curves are good agrement with the predicted curves

which shows that the classical Preisach model can offer excellent modeling accuracy less than 0.65 μm and can provide many applications for requiring voltage excitation signals with narrow band frequencies.