Modeling and inverse compensation of dynamic hysteresis in voice coil motors using an extended rate-dependent Prandtl-Ishlinskii model

The objective of this study is to examine the influence of input current frequency on the hysteresis behaviour of voice coil motors (VCMs). The present study introduces the extended rate-dependent Prandtl-Ishlinskii (ERDPI) model, which integrates the Fermi-Dirac distribution into the envelope function. Additionally, the model combines rate-dependent thresholds and rate-dependent Prandtl-Ishlinskii compensation. The model parameters are identified using the improved grey wolf optimizer algorithm. The analysis of the model responses and observed data across various frequencies of current input signals demonstrates the ERDPI model's ability to accurately capture the rate-dependent nonlinear hysteresis features of the VCM. To compensate for dynamic hysteresis in VCMs, an ERDPI inverse model is established, showcasing unique convergence when the model parameters are assigned specific values. Simultaneously, an ERDPI inverse model-based feedforward compensator is presented, demonstrating a significant reduction in the hysteresis rate of VCMs by a factor of magnitude, ensuring its stabilization below 5%.