A generalized inertial-dependent Prandtl-Ishlinskii model for wide-band frequency piezoelectric actuator

Smart materials such as piezoceramics used in industrial applications, are subjected to nonlinear phenomenon of hysteresis which degrades the tracking performance of the actuator in operation. Depending on the operating frequency and input magnitude applied to the piezoelectric actuators (PA), the symmetric and asymmetric hysteresis loops can be observed. A generalized inertial-dependent Prandtl-Ishlinskii (PI) model is proposed in term of the stop operator to compensate the effects of nonlinearity in asymmetric hysteresis loops for PA. A nonlinear envelope function is assigned for the threshold of the stop operator to minimize the error between the model response and the measured response obtained through the experiments at frequency range from 200 Hz to 500 Hz