MRAC Scheme For Piezoactuators With Vibrational Dynamics and Hysteresis Inputs

When using piezoelectric actuators, it is significant to consider the effects of hysteresis and internal dynamics on the positioning precision, however, it is challenging to design a controller to guarantee the stability of an uncertain nonlinear system and to ensure that the system output tracks the required signal. To overcome this challenge, in this paper, we propose an adaptive output tracking control scheme based on state feedback considering the hysteresis and internal dynamics effects dynamics, which can achieve adaptive control of the system without the need for model identification of hysteresis, and vibration. With this MRAC scheme, the boundedness of the signal and the desired tracking performance of the closed-loop system are guaranteed. The effectiveness of the developed control scheme is demonstrated by the simulation results of a real application example.