The application belongs to the field of piezoelectric driver nonlinear modeling, and particularly discloses a piezoelectric driver
creep nonlinear dynamics model and a construction method and
system thereof. c (s)=s ‑μ ; wherein s is a
Laplace operator; the identification method of the parameter mu includes: constructing input
voltage signals with different frequencies
omega i , calculating input
voltage signal amplitudes U i ; according to the input
voltage signals, obtaining output displacement signals of the piezoelectric driver, and simultaneously calculating output displacement
signal amplitudes D i ; calculating the
amplitude ratio A i of D i and U i ; obtaining a discrete
data point set (x i , y i ) which satisfies: according to the
linear fitting of the discrete
data point set (x i , y i ), determining the slope of the fitted straight line, and determining the parameter mu according to the slope. The model constructed based on the fractional order involves fewer unknown parameters, is easy to identify, and at the same time, the modeling method is not limited by special
discrete points in the time /
frequency domain, and has higher universality.