Hysteresis modeling and displacement control of piezoelectric actuators with the frequency-dependent behavior using a generalized Bouc–Wen model

Piezoelectric actuators (PAs) are widely used in precision positioning control and active vibration control. However, positioning accuracy can be compromised by the hysteresis of PAs. We can put forward a model to accurately describe the hysteresis and then compensate the hysteretic effect to solve the above problem based on the proposed model. In order to model the hysteresis of a PA which possesses the asymmetrical characteristics and the frequency-dependent behavior, a generalized Bouc–Wen model is developed for the PA. A model-based control using the proposed generalized Bouc–Wen model is applied to force the output displacement of the PA to track the desired displacement accurately thereafter. Experiments are conducted to validate this new approach. The results highlight significantly improved accuracy in the displacement control of the PA.