An Asymmetric Hysteresis Model and Parameter Identification Method for Piezoelectric Actuator

Figure 11

The hysteresis loops of the PZT actuator obtained by experimental data and the model response; it is using the MPSO to identify parameters with Size=300 and 𝐺=8000. The results of parameters identification are 𝑘₁ = 39.3383*10⁻⁶, 𝑘₂ = 0.2412, 𝐴₁ = −15.3487*10⁻⁶, 𝛽₁ = 9.2620, 𝛾₁ = −6.4160, 𝑛=2, 𝜑=0.8612, and 𝜀=1.05×10⁻⁸.