地基大口径望远镜动态目标跟踪中压电式快速反射镜迟滞效应的补偿  

Compensation of hysteresis effect of piezoelectric fast steering mirror in dynamic target tracking of ground-based large aperture telescope system

作　　者：刘永凯[1] 吕福睿 高世杰[1] 邓永停[1] 吴昊[1] LIU Yongkai;LV Furui;GAO Shijie;DENG Yongting;WU Hao(Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Changchun 130033,China;University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]中国科学院长春光学精密机械与物理研究所,吉林长春130033 [2]中国科学院大学,北京100049

出　　处：《光学精密工程》2022年第23期3081-3089,共9页Optics and Precision Engineering

基　　金：国家自然科学基金资助项目(No.11973041,No.12122304);中国科学院青年创新促进会会员资助项目(No.2019218)。

摘　　要：为了提高基于压电式快速反射镜的光学系统的动态目标跟踪性能,对迟滞非线性效应带来的影响及其补偿方法进行了研究。首先,基于Prandtl-Ishlinskii(P-I)模型,建立P-I模型与自回归历变模型(Auto-regressive Exogenous Model,ARX)模型串联的率相关迟滞模型。然后,提出了基于P-I的率相关模型复合控制补偿算法。最后,搭建了基于压电式快速反射镜的实验平台,对压电陶瓷的迟滞效应进行了模型辨识,基于其逆模型设计了前馈控制器,同时检验迟滞补偿方法对动态目标跟踪系统的优化作用。实验结果表明:基于P-I的率相关模型适用于动目标跟踪系统,采用复合控制补偿算法后,动态目标跟踪系统的误差抑制带宽提高了26 Hz,有效提高了动态目标跟踪系统的误差抑制能力。To improve the dynamic target tracking performance of optical systems based on piezoelectric fast mirrors,the effect of hysteresis nonlinearity and the corresponding compensation methods are investi⁃gated in this study.First,based on the Prandtl-Ishlinskii(P-I)model,a rate dependent hysteresis model in series with the P-I model and the auto regressive empirical model is established.Then,a rate dependent model compound control compensation algorithm based on P-I is proposed.Finally,an experimental plat⁃form using a piezoelectric fast mirror is built to identify the hysteresis effect of piezoelectric ceramics,and a feedforward controller is designed based on its inverse model.Simultaneously,the optimization effect of the hysteresis compensation method on the dynamic target tracking system is verified.The experimental results show that the rate dependent model based on P-I is suitable for moving target tracking systems.When the compound control compensation algorithm is applied,the error suppression bandwidth of the dy⁃namic target tracking system is increased by 26 Hz.Thus,the error suppression capability of the dynamic target tracking system is effectively improved.

关 键 词：压电陶瓷 快速反射镜 迟滞效应 复合控制 目标跟踪 P-I模型 率相关 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]