Influence of piezoelectric actuator hysteresis on saturation control efficiency

The main purpose of this paper is to analyze the impact of hysteresis of a piezoelectric subsystem on the nonlinear beam dynamics with active vibration control. The investigated model considers geometric and inertia nonlinearities of the beam (plant), nonlinear coupling of the controller, and hysteresis of the piezoelectric actuator. The developed numerical model of the electromechanical system allows a comparison of responses given by a simplified model and a model with a complete description of the piezoelectric subsystem, including hysteresis. Obtained results provide information about the effect of hysteresis on the beam and controller dynamics. Quantitative and qualitative changes due to considering the effect of hysteresis are presented in the paper.