具有Hammerstein结构的非对称PI模型的超磁致作动器数学建模

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (14) : 253-263.

论文

李锐泓1，谢飞1,2，吴明忠1，杨帆1，陈鸿威1，林德昭1，李承洪1

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

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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文章历史 +

摘要

超磁致作动器(giant magnetostrictive actuator，GMA)作为一种以磁致伸缩材料为核心的智能驱动器，由于其优良的性能而广泛应用于诸多领域中，但是其本身固有的回滞非线性的存在限制了其进一步地发展，因而针对回滞非线性的建模研究一直是该领域的重点。本文基于Hammerstein结构，应用非对称Prandtl-Ishlinskii (PI)模型来表示Hammerstein结构中的非线性环节，用受控自回归 (auto-regressive with exogenous，ARX)模型来表示Hammerstein结构的动态环节（尤其是针对高频信号），并且基于AIC准则的判定过程辨识出了动态系统传递函数的阶次和具体形式，建立了超磁致作动器的一种具有Hammerstein结构的非对称PI模型，并有效地减少了模型辨识参数的数量。实验结果表明具有Hammerstein结构的非对称PI模型比单一非对称PI模型拥有更高地精度，尤其针对较大频率的激励信号。
关键词：超磁致作动器；回滞非线性；Prandtl-Ishlinskii (PI)模型；Hammerstein结构

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

导出引用

李锐泓1，谢飞1,2，吴明忠1，杨帆1，陈鸿威1，林德昭1，李承洪1. 具有Hammerstein结构的非对称PI模型的超磁致作动器数学建模[J]. 振动与冲击, 2022, 41(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. 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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