Mathematical modeling of a giant magnetostrictive actuator by using an asymmetric PI model with Hammerstein structure

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (14) : 253-263.

LI Ruihong1, XIE Fei1,2, WU Mingzhong1, YANG Fan1, CHEN Hongwei1, LIN Dezhao1, LI Chenghong1

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Abstract

The Giant Magnetostrictive Actuator (GMA), which is one of intelligent drivers made of one kind of smart materials, magnetostrictive material, is widely used in many fields due to its excellent performance, but its inherent hysteresis nonlinearity limits its further development, so modeling of hysteresis nonlinearity has been the focus of the field. In this paper, based on the Hammerstein structure, the asymmetric Prandtl-Ishlinskii (PI) model is applied to represent the non-linear link of the Hammerstein structure, and the auto-regressive with exogenous (ARX) model is used to represent the dynamic links of the Hammerstein structure (especially for high-frequency signals), and the order and specific form of the transfer function of the dynamic system are identified based on the judgment process of the AIC criterion. An asymmetric PI model with Hammerstein structure for the GMA is developed, which effectively reduces the number of identified parameters. The experimental results show that the asymmetric PI model with Hammerstein structure has higher accuracy than the single asymmetric PI model, especially for larger frequency excitation signals.
Key words: Giant Magnetostrictive Actuator；Hysteresis nonlinear；Prandtl-Ishlinskii (PI) model；Hammerstein structure

Key words

Giant Magnetostrictive Actuator / Hysteresis nonlinear / Prandtl-Ishlinskii (PI) model / Hammerstein structure

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LI Ruihong1, XIE Fei1,2, WU Mingzhong1, YANG Fan1, CHEN Hongwei1, LIN Dezhao1, LI Chenghong1. Mathematical modeling of a giant magnetostrictive actuator by using an asymmetric PI model with Hammerstein structure[J]. Journal of Vibration and Shock, 2022, 41(14): 253-263

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