方位俯仰跟踪框架下的角偏差无奇点修正方法

doi:10.3969/j.issn.1000-1093.2016.09.022

兵工学报 ›› 2016, Vol. 37 ›› Issue (9): 1708-1714.doi: 10.3969/j.issn.1000-1093.2016.09.022

方位俯仰跟踪框架下的角偏差无奇点修正方法

陈嘉鸿，向颉，王二建

(中国卫星海上测控部飞行器海上测量与控制联合实验室, 江苏江阴 214431)

收稿日期:2016-02-02 修回日期:2016-02-02 上线日期:2016-11-04
通讯作者: 陈嘉鸿 E-mail:stone_cjh@126.com
作者简介:陈嘉鸿(1971—)男研究员
基金资助:
国家自然科学基金项目（61403421）

A Nonsingularity Modification Method of Angular Deviation in Azimuth-elevation Tracking Frame

CHEN Jia-hong, XIANG Jie, WANG Er-jian

(Joint Laboratory of Flight Vehicle Ocean-based Measurement and Control, Chinese Satellite Maritime Tracking andControlling Department, Jiangyin 214431, Jiangsu, China)

Received:2016-02-02 Revised:2016-02-02 Online:2016-11-04
Contact: CHEN Jia-hong E-mail:stone_cjh@126.com

摘要/Abstract

摘要： 分析回顾了雷达工程中，当前通用的方位俯仰极坐标框架下，无线电雷达跟踪测量系统角偏差正割补偿修正方法的由来及其局限性；提出了跟踪指向坐标系的定义。利用坐标转换原理给出了一种简便易行的偏差无奇点精确修正推导新方法，并证明了新方法与通用的基于立体几何推理方法的等价性，同时分析了新方法在雷达轴系偏差修正中的典型应用及其对系统跟踪测量精度的影响。对于89°仰角、方位俯仰角偏差均为3 mrad的情形，正割补偿修正法指向计算存在6 759.2″ 的方位角误差和63.5″的俯仰误差。新的推理方法有利于极坐标框架下的空间目标高精度跟踪与测量，尤其是高仰角过顶跟踪性能、指向精度和跟踪数据利用率的提高。

关键词: 雷达工程, 跟踪测量, 极坐标框架, 偏差修正, 正割补偿

Abstract: The secant compensation method for correcting an angular deviation of radar tracking measurement system in azimuth-elevation polar coordinate frame is reviewed, and its pros and cons are analyzed. To overcome the complexity of derivation process and singularity, a tracking pointing coordinate system, i.e., line-of-sight coordinate system, and a simple and practical nonsingularity compensation method based on coordinate transform principle are proposed. The equipollency between the proposed method and the universal secant compensation method based on solid geometry reasoning results is proven. The application of the proposed method in typical deviation correction of shafting and its effect on the tracking and measurement accuracies of radar system are also analyzed. For elevation angle of 89°, and azimuth and elevation angular deviations of 3 mrad, the azimuth error and elevation error calculated by the secant compensation method are 6 759.2″and 63.5″, respectively. The proposed method is benefit for the high precision tracking and measurement of space targets in the polar coordinate frame, especially to effectively improve the zenith tracking performance and the pointing accuracy with high elevation.

Key words: radar engineering, tracking and measurement, polar coordinate frame, deviation correction, secant compensation

中图分类号:

V557⁺.5

陈嘉鸿，向颉，王二建. 方位俯仰跟踪框架下的角偏差无奇点修正方法[J]. 兵工学报, 2016, 37(9): 1708-1714.

CHEN Jia-hong, XIANG Jie, WANG Er-jian. A Nonsingularity Modification Method of Angular Deviation in Azimuth-elevation Tracking Frame[J]. Acta Armamentarii, 2016, 37(9): 1708-1714.

参考文献

［1］ Samuel B，Robert P. Design and analysis of modern tracking systems ［M］. Londo， UK：Artech House, 1999: 259-318.
［2］刘利生. 外弹道测量数据处理［M］. 北京: 国防工业出版社, 2002.
LIU Li-sheng. Exterior ballistic measurement data processing ［M］. Beijing: National Defense Industry Press, 2002. (in Chinese)
［3］钟德安. 航天测量船测控通信设备标校与校飞技术［M］.北京: 国防工业出版社, 2009.
ZHONG De-an. Calibration and flight technology for measurement and communication equipment for space measurement ship ［M］. Beijing: National Defense Industry Press, 2009. (in Chinese)
［4］李淼. 基于跟踪伺服系统仿真模型的光电经纬仪电视跟踪性能评价［D］. 长春:中国科学院长春光学精密机械与物理研究所, 2012.
LI Miao. Tracking performance evaluation for electro- optic theodolite TV tracking based on servo system simulation model ［D］. Changchun: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 2012. (in Chinese)
［5］ Carlson D J, Looney C H. Coverage diagrams for x-y and elevation-over-azimuth antenna mounts, NASA-TN-D-2963 ［R］. Washington: Goddard Space Flight Center, 1965.
［6］ Kurek N B. Secant correction for tracking pedestals ［J］. IEEE Transactions on Automatic Control, 1966, 11(1): 135-136.
［7］ Senger S J. Device for secant correction of azimuth data in tracking radars: US, 4032919 ［P］. 1977-06-28.
［8］ Senger S J. Angle servo preamplifier. US,4178594 ［P］. 1979-12-11.
［9］ Ji T B, Yang X H, Chen T, et al. Study on factors of influencing altitude-azimuth tracking performance near the zenith ［J］. Journal of Optoelectronics Laser, 2004, 15(3): 283-286.
［10］ Khalili M M, Hejazi F, Norouzi Y, et al. Secant method for bearing-only tracking problem ［C］∥14th International Radar Symposium. Dresden, Germany: IEEE Computer Society, 2013: 1-6.
［11］王红宣, 吉桐伯, 王伟国, 等. 地平式跟踪系统过顶问题研究［J］. 吉林大学学报:信息科学版, 2010, 28(4): 347-351.
WANG Hong-xuan, JI Tong-bo, WANG Wei-guo, et al. Solution to overcome zenith blind zone in altitude-azimuth optoelectronic system ［J］. Journal of Jilin University: Information Science Edition, 2010, 28(4): 347-351. (in Chinese)
［12］董小萌, 张平. 两轴稳定平台的过顶盲区问题［J］. 北京航空航天大学学报, 2007, 33(7): 811-815.
DONG Xiao-meng, ZHANG Ping. Zenith blind zone of two-axis stabilized platform ［J］. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(7): 811-815. (in Chinese)
［13］王锋, 高亚飞, 李清军. 一种机载光电测量设备过顶跟踪技术［J］. 现代电子技术, 2012, 35(17): 144-146.
WANG Feng, GAO Ya-fei, LI Qing-jun. A vertex tracking technique for airborne photoelectric equipment ［J］. Modern Electronics Technique, 2012, 35(17): 144-146. (in Chinese)
［14］ Zhai K, Yang D. Zenith pass problem of inter-satellite linkage antenna based on program guidance method ［J］. Chinese Journal of Aeronautics, 2008, 21(1): 53-60.
［15］ Murakoshi T. Antenna stabilizing control system using a strap-down 2-axis azimuth/elevation method ［J］. Microsystem Technologies, 2005, 11(8): 590-597.
［16］ Pankaj K G, Ramesh V, Bhatt K A, et al. Two-channel monopulse tracking receiver for onboard antenna tracking system ［C］∥International Conference on Communication, Information & Computing Technology. Mumbai, India: IEEE Computer Society, 2012.
［17］吕韶昱, 占荣辉, 万建伟. 雷达低空目标俯仰角测量提取的最大似然估计算法应用［J］. 兵工学报, 2008, 29(9): 1059-1062.
LYU Shao-yu, ZHAN Rong-hui, WAN Jian-wei. Maximum likelihood elevation extraction technique for radar low-altitude target ［J］. Acta Armamentarii, 2008, 29(9): 1059-1062. (in Chinese)
［18］王文君, 段晓君, 朱炬波, 等. 某型弹载雷达测角系统误差模型辨识方法［J］. 兵工学报, 2014, 35(2): 273-279.
WANG Wen-jun, DUAN Xiao-jun, ZHU Ju-bo, et al. Identification method of systematic errors model of a missile-borne radar ［J］. Acta Armamentarii, 2014, 35(2): 273-279. (in Chinese)
［19］黄师娟, 张旭斌, 董斌, 等. 雷达测量数据精度评估方法研究［J］. 测试技术学报, 2015, 29(1): 36-40.
HUANG Shi-juan, ZHANG Xu-bin, DONG Bin, et al. Research on accuracy evaluate method of radar testing data［J］. Journal of Test and Measurement Technology, 2015, 29(1): 36-40. (in Chinese)
［20］ Chen J H, Zhao W H, Liu B, et al. A new optics and radar strap-down measuring system ［C］∥Proceeding of the International Astronautical Congress. Beijing: International Astronautical Federation, 2013: 8741-8748.

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方位俯仰跟踪框架下的角偏差无奇点修正方法

A Nonsingularity Modification Method of Angular Deviation in Azimuth-elevation Tracking Frame

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