Dynamic Modeling and Controlling of Piezoelectric Actuator Using a Modified Preisach Operator Based Hammerstein Model.

For the 4th generation synchrotron radiation source, the piezoelectric actuator (PEA) becomes the crucial component of the beam-line to guarantee the beam stability during the high accuracy experiments. However, the rate-dependent hysteresis seriously affects the accuracy of PEA. To eliminate this nonlinear error, we present a feedforward controller and an integrated controller. A novel Hammerstein model is proposed to describe the rate-dependent hysteresis of the PEA, which is composed of a static Preisach model and a dynamic transfer function. The insufficiency of the classic Preisach model in describing the nature of the zero drift of hysteresis loops is improved by inducing a correction item. Moreover, the identification and the inversion method of the dynamic model are proposed as well. Experiments on the commercial PEA demonstrate that the hysteresis with the frequency in range of 0–80 Hz is compensated more than 80% under the proposed control scheme. [ABSTRACT FROM AUTHOR]