Modeling hysteresis of smart actuators

A generalized Prandtl-Ishlinskii model is proposed for modeling hysteresis nonlinearities in piezoceramic actuator. A generalized play operator is presented and integrated to the Prandtl-Ishlinskii model together with density function. The generalized play hysteresis operator is analysed using linear envelop function. Parameters identification for the generalized Prandtl-Ishlinskii model is carried out using nonlinear optimization technique. The validity of the generalized model is demonstrated by comparing its displacement responses with the measured responses obtained for piezoceramic actuator.