Modeling of rate-dependent hysteresis in piezoelectric actuators

A method for the identification of rate-dependent hysteresis inherent in piezoelectric actuators is proposed. A hysteretic operator is proposed to specify the change tendency of hysteresis. Then, an expanded input space is constructed to transform the multi-valued mapping of hysteresis into a one-to-one mapping. Based on this expanded input space, a non-linear auto-regressive moving average model with exogenous inputs (NARMAX) is utilized to describe the hysteresis. Both the modified Akaikepsilas information criterion (MAIC) and the recursive least squares (RLS) algorithm are employed to estimate the appropriate structure and coefficients of the model. Finally, the experimental results on the modeling of hysteresis existing in a piezoelectric actuator are presented.