Characterization of Rate Dependent Hysteresis of Piezoceramic Actuators

A generalized Prandtl-Ishlinskii model is proposed for characterizing the rate dependent hysteresis behavior of piezoceramic actuator. Rate dependent play operator is formulated and integrated to the Prandtl-Ishlinskii model together with dynamic density function to model hysteresis as a function of rate of change of the input. The fundamental properties of the proposed rate dependent operators are discussed. Laboratory experiments were performed to characterize the rate dependent hysteresis behavior of a piezoceramic actuator under excitation in the 0.1 to 200 Hz frequency range. The measured data were used to demonstrate validity of the proposed generalized model. The comparisons suggest that the proposed rate dependent operator and density functions allow for accurate characterization of the rate dependent hysteresis of piezoceramic actuator under dynamically varying inputs.