Abstract
In this paper, a model reference adaptive control with adjustable gain is investigated to reduce the nonlinear hysteresis effect of piezoelectric actuator. Firstly, the unknown system dynamics of piezoelectric actuator are described based on Bouc-Wen model. By linearizing the nonlinear hysteresis effect, the corresponding reference model is designed to track the output error. Then, the stability and robustness of the model reference adaptive control system is ensured by the Lyapunov stability theorem. In addition, an iteration adjustment rule is proposed to improve the convergence rate of the tracking error. Finally, the simulation results of the proposed control are compared with the traditional PID control and other model reference adaptive control. The results demonstrate that the proposed method has a faster convergence speed and smaller error range.
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