Model reference adaptive control for piezoelectric actuators

A model reference adaptive control is applied in this work to control a piezoelectric actuator which is used frequently in nano-positioning applications. The plant is composed of two systems; The hysteresis nonlinearity and the linear dynamics. The objective of the control system is to guarantee a good tracking in the presence of this nonlinearity. The hysteresis is modeled and then inverted in the system to reduce its effect in the feedback system. To eliminate the remaining error an adaptive closed-loop control is integrated with the plant and the inverse-operator. We showed that adding an inverse-operator will improve the results. Simulation results are presented for different inputs and amplitudes of the inversion error. They show a good tracking performance for the suggested method.