多导弹协同惯性导航系统误差修正及精度分析

doi:10.3969/j.issn.1000-1093.2013.12.006

摘要/Abstract

摘要： 针对飞航导弹的惯性导航系统（INS）单独使用时存在位置和速度估计误差发散的问题，在不需要弹目距离信息或高度表信息或空速管信息的前提下，提出了一种基于INS信息、前视装置提供的导弹相对于已知地标的视线角和视线角速率信息及通过弹载数据链获得的各枚导弹之间的一维相对距离信息的多导弹（不少于3枚）协同INS误差修正方法。在此基础上，分析了参与协同误差修正的各枚弹相对于地标的几何构形对INS误差修正精度的影响，推导得到了水平精度因子（HDOP）和高程精度因子（VDOP）. 最后仿真验证了该方法的有效性和结论的正确性。

关键词: 飞行器控制、导航技术, 飞航导弹, 视觉辅助导航, 协同导航, 惯性导航系统误差修正, 几何精度因子

Abstract: In absence of other navigation systems, the inertial navigation system（INS）error of cruise missile will cumulate continuously with time. A novel INS error estimation method for multiple cruise missiles (at least 3 missiles) is proposed, which is based on the passive observation to feature target and the distance information between missiles and INS information without needing of distance information between cruise missile and feature target or altimeter information or airspeed information. Then the influence of geometrical configuration between cruise missile and the feature target on the INS error correction precision is analyzed, and the horizontal and vertical dilutions of precision are deduced, respectively. Finally, the simulation results prove that the validity of the method and the correctness of the conclusion.

Key words: control and navigation technology of aircraft, cruise missile, vision aided navigation, cooperative navigation, inertial navigation system error modification, geometric dilution of precision

中图分类号:

TP391

寇昆湖，张友安，柳爱利. 多导弹协同惯性导航系统误差修正及精度分析[J]. 兵工学报, 2013, 34(12): 1521-1528.

KOU Kun-hu， ZHANG You-an， LIU Ai-li. Cooperative Inertial Navigation System Error Correction and Accuracy Analysis of Multi-missiles[J]. Acta Armamentarii, 2013, 34(12): 1521-1528.

参考文献

［1］ Miller M M，Soloviev A，Uijt de Haag M. Navigation in GPS denied environments：feature-aided inertial systems，RTO-EN-SET-116 [R]. US：Air Force Research Laboratory，2010.
［2］卢晓东, 董鹏, 周军，等.飞航导弹地标被动观测自主导航修正技术[J].飞行力学, 2009,27(6):83-86.
LU Xiao-dong, DONG Peng, ZHOU Jun, et al. Autonomous navigation modification based on passive observation to feature target for cruise missile[J]. Flight Dynamics, 2009,27(6):83-86.（in Chinese）
［3］王小刚，郭继峰，崔乃刚. 基于数据链的智能导弹协同定位方法[J]. 中国惯性技术学报, 2009,17(3):319-323.
WANG Xiao-gang, GUO Ji-feng, CUI Nai-gang. Cooperative localization approach to intelligent missile based on data link[J]. Journal of Chinese Inertial Technology,2009，17(3):319-323. (in Chinese)
［4］ Bahr A. Cooperative localization for autonomous underwater vehicles [D]. Cambridge：Massachusetts Institute of Technology，2009.
［5］ Trawny N. Cooperative localization：on motion-induced initialization and joint state estimation under communication constraints[D]. Minnesota：University of Minnesota，2010.
［6］ Yotam E，Alfred M B. A thermodynamic approach to the analysis of multi-robot cooperative localization under independent errors[J]. Lecture Notes in Computer Science, 2010， 6234：36-47.
［7］张共愿, 程咏梅, 程承，等. 基于相对导航的多平台INS误差联合修正方法[J]. 航空学报，2011，32(2)：271-280.
ZHANG Gong-yuan，CHENG Yong-mei，CHENG Cheng，et al. A joint correcting method of multi-platform INS error based on relative navigation [J]. Acta Aeronautica et Astronautica Sinica, 2011,32(2):271-280. (in Chinese)
［8］ Liu M Y，Li W B，Pei X. Convex optimization algorithms for cooperative localization in autonomous underwater vehicles[J]. Acta Automatica Sinica, 2010, 36(5):704-710.
［9］李闻白, 刘明雍,李虎雄，等. 基于单领航者相对位置测量的多AUV协同导航系统定位性能分析[J]. 自动化学报， 2011，37（6）:724-736.
LI Wen-bai, LIU Ming-yong, LI Hu-xiong, et al. Localization performance analysis of cooperative navigation system for multiple AUVs based on relative position measurements with a single leader[J]. Acta Automatica Sinica, 2011，37（6）：724-736. (in Chinese)
［10］张立川, 刘明雍, 徐德民，等. 基于水声传播延迟的主从式多无人水下航行器协同导航定位研究[J]. 兵工学报， 2009，30（12）： 1674-1678.
ZHANG Li-chuan, LIU Ming-yong, XU De-min, et al. Cooperative localization for multi-UUVs based on time-of-flight of acoustic signal [J]. Acta Armamentarii, 2009，30（12）：1674-1678. (in Chinese)
［11］李闻白, 刘明雍,雷小康，等. 未知洋流干扰下基于单领航者的多自主水下航行器协同导航[J]. 兵工学报，2011，32(3)：292-297.
LI Wen-bai, LIU Ming-yong, LEI Xiao-kang, et al. Cooperative navigation for multiple autonamous underwater vehicles with a single leader in unknown ocean current [J]. Acta Armamentarii，2011，32(3)：292-297. (in Chinese)
［12］李闻白, 刘明雍, 张立川,等. 单领航者相对位移测量的多自主水下航行器协同导航[J]. 兵工学报，2011，32（8）：1002-1007.
LI Wen-bai, LIU Ming-yong, ZHANG Li-chuan, et al. Cooperative navigation for multiple autonamous underwater vehicles based on relative displacement measurement with a single leader [J]. Acta Armamentarii, 2011,32（8）: 1002-1007. (in Chinese)
［13］王玮, 刘宗玉. 伪卫星/惯性组合导航的非线性补偿[J]. 北京航空航天大学学报, 2009,35(4):514-518.
WANG Wei, LIU Zong-yu. Nonlinearity compensation for pseudolite/INS integrated navigation [J]. Journal of Beijing University of Aeronautics and Astronautics, 2009，35(4)：514-518. (in Chinese)
［14］ Wang B C，He Y，Wang G H, et al. Optimal allocation of multi-sensor passive localization [J]. Science China Information Sciences，2010，53(12)：2514-2526.

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