Dynamic Preisach modelling of hysteresis for the piezoceramic actuator system

Rate-dependent hysteresis property is a common phenomenon in various hysteretic systems including the piezoceramic material system. Dynamic Preisach model is needed to describe the rate-dependent hysteresis. This paper proposes a new dynamic Preisach model by introducing the dependence of the Preisach function on the input variation rate. An input variation rate function was introduced to adjust the relationship of hysteresis loop on the input variation rate for different hysteresis systems. A detailed numerical implementation procedure is also presented. Experiments were conducted to study the hysteresis behavior of piezoceramic actuator system and to verify the proposed model.