一点对多点同时激光通信视轴姿态解算方法

王利辉; 张立中; 孟立新; 白杨杨

doi:10.11999/JEIT221533

一点对多点同时激光通信视轴姿态解算方法

doi: 10.11999/JEIT221533

王利辉^{1, 2, 3},
张立中^{1, 3, ,},
孟立新^{1, 3},
白杨杨^{1, 3}

1.
长春理工大学机电工程学院长春 130022
2.
内蒙古民族大学工学院通辽 028000
3.
长春理工大学空地激光通信技术重点学科实验室长春 130022

基金项目: 国家自然科学基金联合基金项目“叶企孙”科学基金(U2141231)，吉林省教育厅科学技术研究项目(JJKH20210836KJ)

详细信息

作者简介:
王利辉：男，博士研究生，讲师，研究方向为激光通信、捷联惯导、机电系统仿真与测试技术

张立中：男，教授，博士生导师，研究方向为激光通信、精密机械设计、在线检测技术

孟立新：男，副研究员，博士生导师，研究方向为空间激光通信、精密机械设计

白杨杨：男，中级实验师，研究方向为精密伺服控制

通讯作者:
张立中　zlzcust@126.com

中图分类号: TN929.1
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出版历程
- 收稿日期: 2022-12-12
- 修回日期: 2023-03-02
- 网络出版日期: 2023-03-06
- 刊出日期: 2023-08-21

Solution Method of Line-of-sight Attitude in One-point to Multi-point Simultaneous Laser Communication System

WANG Lihui^{1, 2, 3},
ZHANG Lizhong^{1, 3
, ,},
MENG Lixin^{1, 3},
BAI Yangyang^{1, 3}

1.
School of Mechanical and Electrical Engineering, Changchun University of Science and Technology, Changchun 130022, China
2.
College of Engineering, Inner Mongolia University for Nationalities, Tongliao 028000, China
3.
Fundamental Science on Space-Ground Laser Communication Technology Laboratory, Changchun University of Science and Technology, Changchun 130022, China

Funds: Ye Qisun Science Foundation of the Joint Fund of National Natural Science Foundation of China(U2141231), Science and Technology Research Project of Education Department of Jilin Province (JJKH20210836KJ)

摘要

摘要: 针对1点对多点同时激光通信光端机的小型化、轻量化、网络化的技术需求，该文简化了光端机上的多个陀螺，提出一种利用单陀螺实现多个光学视轴同时稳定的方案。为求解多光学视轴姿态，根据欧拉定理重新定义了每个指向镜的坐标系，建立了基于转动4元数的多光学视轴姿态数学模型。为了求解该数学模型的参数，给出了相对应的4阶龙格库塔解算方法，并进行了“三子样”算法优化。最后，将数值解算结果与3种典型圆锥运动的真值进行比较，获得了不同指向镜视轴姿态的解算误差曲线。结果表明，在60 s仿真时间内4阶龙格库塔法对4个光学视轴姿态的联合解算精度优于10^–4 μrad，验证了该模型的有效性。经过“三子样”算法优化后，3种典型圆锥运动的解算精度分别提高了3个数量级、3个数量级和1个数量级，达到了精度优化的目的。该方法的提出，为捷联稳定技术在激光通信组网中的应用提供了理论依据。
- 激光通信 /
- 1点对多点 /
- 转动4元数 /
- 多视轴捷联稳定
Abstract: Considering the technical requirements of one-point to multi-point simultaneous laser communication for miniaturization, light weight and networking of optical transceiver, the multiple gyroscopes on the optical transceiver are simplified, and a scheme of realizing simultaneous stability of multiple optical line-of-sights by using a single gyroscope is proposed. In order to calculate the attitude of multiple optical line-of-sights, the coordinate system of each pointing mirror is redefined according to the Euler theorem, and the mathematical model of multiple optical line-of-sights attitude based on rotating quaternion is established. In order to calculate the parameters of the mathematical model, the fourth-order Runge-Kutta algorithm is given, and the three-sample algorithm is optimized. Finally, the numerical solution results are compared with the true values of three typical cone motions, and the solution error curves of different pointing mirror line-of-sight postures are obtained. The results show that the fourth-order Runge-Kutta method is superior to 10^-4 μrad in the simulation time of 60 s, which verifies the effectiveness of the model. After the optimization of the three-sample algorithm, the accuracy of the joint solution of three typical conical motions is improved by 3 orders of magnitude, 3 orders of magnitude and 1 order of magnitude respectively, and the purpose of accuracy optimization is achieved. This method provides a theoretical basis for the application of strapdown stabilization technology to laser communication networking.
- Laser communication /
- One-point to multi-point /
- Rotating quaternion /
- Multiple optical line-of-sights strapdown stability

HTML全文

图 1 1点对多点同时激光通信组网示意图

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图 2 1点对4点同时激光通信组网实验

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图 3 光端机实物示意图

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图 4 光端机多指向镜坐标系分布图

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图 5 4阶龙格库塔法数值解算误差曲线

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图 6 坐标系O₄₁X₄₁Y₄₁Z₄₁内“三子样”算法数值解算误差

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图 7 坐标系O₄₂X₄₂Y₄₂Z₄₂内“三子样”数值解算误差曲线

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图 8 坐标系O₄₃X₄₃Y₄₃Z₄₃内“三子样”数值解算误差曲线

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图 9 坐标系O₄₄X₄₄Y₄₄Z₄₄内“三子样”数值解算误差曲线

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表 1 4阶龙格库塔法数值解算误差

圆锥运动	解算姿态	误差(μrad)
圆锥运动1	方位	7.3×10^–8
圆锥运动1	俯仰	1.5×10^–7
圆锥运动2	方位	5.9×10^–6
圆锥运动2	俯仰	1.2×10^–5
圆锥运动3	方位	1.8×10^–5
圆锥运动3	俯仰	3.6×10^–5

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表 2 “三子样”优化算法数值解算误差(μrad)

指向镜坐标系	姿态	圆锥运动1	圆锥运动2	圆锥运动3
O₄₁X₄₁Y₄₁Z₄₁	方位	3.3×10^–10	2.2×10^–8	5.9×10^–7
O₄₁X₄₁Y₄₁Z₄₁	俯仰	6.2×10^–10	4.4×10^–8	1.2×10^–6
O₄₂X₄₂Y₄₂Z₄₂	方位	7×10^–10	2.2×10^–8	5.9×10^–7
O₄₂X₄₂Y₄₂Z₄₂	俯仰	6.2×10^–10	4.4×10^–8	1.2×10^–6
O₄₃X₄₃Y₄₃Z₄₃	方位	4.7×10^–10	2.2×10^–8	5.9×10^–7
O₄₃X₄₃Y₄₃Z₄₃	俯仰	6.2×10^–10	4.4×10^–8	1.2×10^–6
O₄₄X₄₄Y₄₄Z₄₄	方位	4.7×10^–10	2.2×10^–8	5.9×10^–7
O₄₄X₄₄Y₄₄Z₄₄	俯仰	6.2×10^–10	4.4×10^–8	1.2×10^–6

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