Establishment and evaluation of dynamic hysteresis models for piezo-positioning platform with high-frequency resonance characteristics

The high-frequency resonance characteristics of the piezo-positioning platform is a crucial factor limiting the increase of servo bandwidth. This paper proposes an identification method for the linear dynamic characteristics of piezoelectric positioning platforms that can accurately identify high-frequency resonance characteristics. Firstly, based on the Prandtl-Ishlinskii model, the system’s impulse response sequence is obtained using pseudo-random binary signals and correlation function calculations. Secondly, the Hankel matrix is constructed using the impulse response sequence, and the system’s order is directly determined through singular value decomposition, with the model parameters obtained via the eigensystem realization algorithm. Then, based on the system’s frequency response model and the nominal model, a method is proposed to evaluate the quality of the linear dynamic model using multiplicative uncertainty errors and v-Gap. Finally, the experimental results verify the effectiveness of the proposed identification method and model evaluation method.