Research on Hysteresis Modeling and Nonlinear Compensation of Piezoelectric Actuators

Piezoelectric actuators have become the preferred choice for active structural vibration control due to their high precision, rapid response, high power density, and compact size. However, the inherent hysteresis nonlinearity in piezoelectric actuators can degrade system tracking performance, resulting in oscillations and potential instability. This limitation constrains the broader application of piezoelectric actuators and serves as a bottleneck in the development of effective control strategies for such systems. To address this issue, this study proposes a hysteresis model and its corresponding analytical inverse model for piezoelectric actuators. Experimental comparisons with conventional hysteresis models demonstrate that the proposed model effectively accommodates cases where the initial displacement of the piezoelectric actuator is non-zero, and it achieves a reduced fitting error. Utilizing the established model, compensation for the hysteresis nonlinearity of the piezoelectric actuator is achieved. The compensation results indicate that, across varying frequencies and amplitude outputs, the model closely aligns with the experimental displacement data, thereby validating its accuracy.