基于虚像运动分析的光电稳定平台反射镜补偿技术  

Mirror Compensation Technology for Optoelectronic Stabilization Platform Based on Virtual Image Motion Analysis

作　　者：翟方超 曾庆化[1] 毛飞龙[2] 王合龙 李杰[2] Zhai Fangchao;Zeng Qinghua;Mao Feilong;Wang Helong;Li Jie(College of Automation Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,Jiangsu,China;Luoyang Institute of ElectroOptical Equipment,AVIC,Luoyang 471000,Henan,China)

机构地区：[1]南京航空航天大学自动化学院,江苏南京210016 [2]中国航空工业集团公司洛阳电光设备研究所,河南洛阳471000

出　　处：《光学学报》2024年第20期103-109,共7页Acta Optica Sinica

基　　金：国防科工局对地观测高分专项(52-L0D01-0613-20/22)。

摘　　要：使用沿着瞄准线方向的传感器虚像的运动描述像移运动,根据李群的李代数理论,用传感器虚像位姿单位元处的切空间中的切向量描述传感器虚像的运动,建立了反射镜运动与传感器虚像的关系。利用推导的关系,给出了利用反射镜补偿光电稳定平台像移的方法。通过仿真对比分析本文方法与常规方法,发现本文采用的虚像运动分析方法相比传统方法的像移补偿误差小了3个数量级。本文方法对光学系统相关的像移运动分析具有重要参考意义。Objective The photoelectric stabilization platform is a system that integrates optical and electronic technology to achieve stable and precise target tracking and positioning.A stable platform with a reflector,in combination with a mechanical stabilization frame and the reflector itself,ensures lineofsight stability.Owing to the lower inertia of the reflector,it offers enhanced stability.Biaxial reflectors occupy less space but present higher complexity due to nonlinear coupling and control.Traditional methods approximate the mirror’s motion characteristics over its entire range as those near the zero position,which is suitable for small,slow compensation movements but introduces significant errors for larger,faster motions.This study requires highresolution imaging when the mirror has a large compensation range and a fast speed,necessitating precise motion analysis of the mirror.Previous work deduced the relationship among the direction vector of the aiming line,the angle of the aiming line,and the angle of the reflector,accurately describing the reflector’s behavior during extensive movements.However,the derived relationship remains nonlinear,and considering the optical path and platform movement of the optoelectronic stabilization platform,the problem complicates the issue further.Methods The nonlinear relationship between the position of the aiming line and the angle of the reflector typically necessitates simplification to obtain analytically accurate results.The nonlinearity fundamentally arises from the nonstraightness of the reflection transformation group and the attitude transformation group.Therefore,our study employs Lie group theory for analysis.The properties of the entire Lie group can be characterized by the tangent space at the identity element,known as the Lie algebra.Using Lie algebra allows us to capture the linear properties of Lie groups near any element,not just at the identity.We introduce the virtual image motion analysis(VIMA)method,which analyzes the motion of the aiming line throug

关 键 词：光电稳定平台 李代数 旋转变换 反射变换 

分 类 号：V241.02[航空宇航科学与技术—飞行器设计]