光学精密工程2026，Vol.34Issue(3)：425-437,13.DOI:10.37188/OPE.20263403.0425
非对称线性包络函数修正Prandtl-Ishlinskii模型的压电快反镜迟滞补偿
Hysteresis compensation of piezoelectric fast steering mirror based on Prandtl-Ishlinskii model modified by asymmetric linear envelope function
摘要
Abstract
The inherent hysteresis of piezoelectric fast steering mirrors(PFSMs)severely limits control accuracy in precision positioning systems.To address this limitation,the performance of common enve-lope functions is systematically compared in terms of computational complexity,inversion requirements,and error sources.Based on a comprehensive evaluation,an asymmetric linear envelope function is select-ed,and a rate-dependent generalized Prandtl-Ishlinskii model with an asymmetric linear envelope function(LRGPI)is developed.To mitigate rate-dependent hysteresis,a derivative term is incorporated to extend the model's applicable frequency range.The inverse LRGPI model is subsequently formulated and imple-mented as a feedforward compensator to evaluate hysteresis suppression.Furthermore,a composite con-trol strategy integrating inverse-model feedforward compensation is designed to attenuate external distur-bances.Simulation results indicate that,relative to the inverse models of the tanh envelope-based rate-de-pendent generalized Prandtl-Ishlinskii model(TRGPI)and the cubic envelope-based rate-dependent gen-eralized Prandtl-Ishlinskii model(CRGPI),the LRGPI inverse-model feedforward increases the hystere-sis-compensation bandwidth by 5.78%and 28.69%,respectively.Comparative experiments further dem-onstrate that the RMSE achieved by LRGPI inverse-model feedforward control is reduced by 62.7%,23.2%,and 26.4%compared with the PI inverse model,TRGPI,and CRGPI inverse models,respec-tively.These results demonstrate the superior effectiveness and robustness of the proposed LRGPI model for compensating PFSM hysteresis.关键词
压电快反镜/迟滞特性/率相关/非对称包络函数/广义Prandtl-Ishlinskii模型/逆补偿/复合控制Key words
piezoelectric fast steering mirror/hysteresis characteristic/rate-dependence/asymmetric enve-lope function/generalized prandtl-ishlinskii model/inverse compensation/composite control分类
信息技术与安全科学引用本文复制引用
包瑞飞,张雁南,赵嵩,孙明超,钟恩福,储海荣..非对称线性包络函数修正Prandtl-Ishlinskii模型的压电快反镜迟滞补偿[J].光学精密工程,2026,34(3):425-437,13.基金项目
吉林省科技发展计划重点研发项目(No.20220201058GX) （No.20220201058GX）
