The invention discloses a modeling method and
system for a frequency-dependent giant
magnetostrictive actuator. The modeling method comprises the following steps: firstly, establishing a classic PI model; then, a symmetric Play operator in the classic PI model is improved into an asymmetric Play operator, and an improved PI model is obtained; further introducing a
frequency factor, representing part of parameters as a
frequency function, and constructing a frequency-related improved PI model; the input current and output displacement data under different frequencies are utilized, a nonlinear optimization tool box is adopted for parameter identification, and
model parameters are optimized. And finally, comparing the root-mean-
square error and the mean absolute error of the model output and the actual output, and verifying the fitting precision of the model under different frequencies. According to the method, the asymmetric
hysteresis characteristic and the frequency-dependent
hysteresis characteristic of the giant
magnetostrictive actuator can be accurately described within the frequency range of 1-90 Hz, and a more accurate theoretical basis is provided for modeling and control of the giant
magnetostrictive actuator.