An Asymmetric Hysteresis Model and Parameter Identification Method for Piezoelectric Actuator

Figure 2

Hysteresis loops via the differential equation (2) with different parameters value of  𝐴, 𝛽, 𝛾, and 𝑛; the input signal 𝑢(𝑡)=Amp⋅sin(𝜔𝑡), Amp=2. (a) The shape of hysteresis loops with several values of 𝐴. (b) The shape of hysteresis loops with several values of 𝑛. (c) The shape of hysteresis loops with several values of 𝛽. (d) The shape of hysteresis loops with several values of 𝛾.

(a)

(b)

(c)

(d)