快速反射镜姿态角的高精度解算

薛乐堂; 陈涛; 徐涛; 刘廷霞; 李博

doi:10.3788/OPE.20162408.2000

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快速反射镜姿态角的高精度解算

信息科学 | 更新时间：2020-07-07

- 快速反射镜姿态角的高精度解算
- High-precision calculation for attitude angles of fast steering mirror
- Editorial Office of Optics and Precision Engineeri 2016年24卷第8期页码：2000-2009
- 作者机构：
  
  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
- 作者简介：
  
  薛乐堂(1980-)，男，河南社旗人，博士研究生，助理研究员，2004年于北京航空航天大学获得学士学位，2009年于中国科学院研究生院获得硕士学位，主要从事光电跟踪设备的伺服控制技术研究。E-mail：xueletang2008@sina.com E-mail：xueletang2008@sina.com
- 基金信息：
  
  吉林省自然科学基金资助项目(No.201115123);国家863高技术研究发展计划资助项目(No.2011AA7031024G)
- DOI：10.3788/OPE.20162408.2000
  中图分类号： TH703;TN249
- 收稿日期：2016-02-01，
  
  录用日期：2016-3-7，
  
  纸质出版日期：2016-08-25
- 稿件说明：
移动端阅览
薛乐堂, 陈涛, 徐涛, 等. 快速反射镜姿态角的高精度解算[J]. Editorial Office of Optics and Precision Engineeri, 2016,24(8):2000-2009.

Le-tang XUE, Tao CHEN, Tao XU, et al. High-precision calculation for attitude angles of fast steering mirror[J]. Optics and precision engineering, 2016, 24(8): 2000-2009.
薛乐堂, 陈涛, 徐涛, 等. 快速反射镜姿态角的高精度解算[J]. Editorial Office of Optics and Precision Engineeri, 2016,24(8):2000-2009. DOI： 10.3788/OPE.20162408.2000.

Le-tang XUE, Tao CHEN, Tao XU, et al. High-precision calculation for attitude angles of fast steering mirror[J]. Optics and precision engineering, 2016, 24(8): 2000-2009. DOI： 10.3788/OPE.20162408.2000.

摘要

为了提高跟瞄转台出射激光的指向精度，研究了快速反射镜(FSM)姿态角与转台跟踪误差间的关系，提出了FSM姿态角的高精度解算方法。介绍了跟瞄转台出射激光的光路特点和FSM的工作原理；确定了坐标系中入射光与出射光的方向，依据坐标变换理论和光的反射定律，建立了FSM反射镜姿态角与转台跟踪误差间的函数关系。然后，推导出姿态角的解析表达式，描述了姿态角的空间分布规律，并从解析表达式中推出了近似表达式，确定了近似表达式引入的指向误差。最后，通过指向精度实验验证了姿态角解算方法的正确性。实验结果表明：在跟踪误差不超过(

12.9'，

13.5')时，应用姿态角解析表达式和近似表达式均能取得优于2.5″的指向精度；跟踪误差增大为(

38.6'，

37.8')时，解析表达式对应的指向误差仍低于2.5″，而近似表达式对应的指向误差迅速增大为13.2″。得到的结果显示：FSM姿态角的解析表达式不存在原理误差，在任意跟踪误差下均能使出射激光具有高精度指向能力，且其形式简洁，满足伺服控制器快速运算的要求。

Abstract

To improve the pointing precision of output laser for a tracking turntable

the relationship between the attitude angles of a Fast Steering Mirror (FSM) and the tracking error of a tracking turntable was researched and a high precision calculation method for attitude control angles of the FSM was proposed. The light path of the output laser of the tracking turntable and the operating principle of the FSM were introduced. Then

the directions of the incident light and emergent light were determined in different coordinate systems and the functional relationship between the attitude control angles and the tracking errors was derived based on the coordinate transformation theory and the reflection law of light. Furthermore

the analytical expressions of the attitude control angles were obtained

and the space distribution characteristics of the attitude angle were explained. A set of approximation expressions of the attitude control angles were derived from the analytical expressions

and the extra pointing errors caused by the approximation expressions were studied. Finally

a pointing precision experiment was performed to verify the correctness of the formulas for calculating the attitude control angles. The experimental results show that both the analytical formulas and the approximation formulas guarantee the pointing error to be less than 2.5″with the turntable tracking errors less than (

A 12.9'

13.5') .However

the approximation formulas cause the pointing errors to grow to 13.2″ and the turntable tracking errors to grow to (

A38.6'

37.8')while the analytical formulas keep the pointing errors to be within 2.5″. It demonstrates that as terse-form analytical formulas of the attitude control angles have no principle errors

it always can output the laser beam with high precision pointing ability under any turntable tracking errors

and they show simple forms and satisfy the requirement of rapid calculation of servo controllers.

关键词

Keywords

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