光学陀螺旋转调制惯导系统及关键技术发展

查峰; 卜浩宇; 戴海发; 童余德

doi:10.15892/j.cnki.djzdxb.2024.05.004

摘要

面向长航时、高精度的自主导航技术需求,系统梳理光学陀螺旋转调制惯导系统的发展历程及关键技术现状具有重要的现实意义。首先,基于惯导系统误差特性,阐述了旋转调制技术的基本原理。其次,系统回顾和梳理欧美等西方国家旋转惯导系统发展历程,分析了系统发展演变后的技术逻辑,总结了我国旋转惯导系统的研制现状。最后,立足于提高系统自主导航精度,从旋转策略优化、误差标校、初始对准3个方面分析了旋转惯导系统需解决的关键技术及研究现状。在总结光学陀螺旋转调制惯导系统及关键技术发展基础上,针对后续旋转惯导系统研究提出了几点思考,为高精度自主导航技术研究提供参考。

关键词： 激光陀螺; 光纤陀螺; 旋转调制; 旋转惯导; 旋转策略; 惯性导航; 误差补偿; 在线标定

本文引用格式

查峰 , 卜浩宇 , 戴海发 , 童余德 . 光学陀螺旋转调制惯导系统及关键技术发展[J]. 弹箭与制导学报, 2024 , 44(5) : 25 -37 . DOI: 10.15892/j.cnki.djzdxb.2024.05.004

Abstract

Orienting toward the demand for long-endurance and high-precision autonomous navigation technology, it is of extremely significant practical importance to systematically tease out and review the development history and current status of key technologies of optical gyro rotating modulation inertial navigation systems (INS). Firstly, in light of the error characteristics of inertial navigation systems, the fundamental principle of rotating modulation technology is elaborated. This principle plays a crucial role in enhancing the accuracy and reliability of navigation. Secondly, a comprehensive review and analysis of the development history of rotating inertial navigation systems in Western countries such as Europe and the United States is conducted. The technical logic behind the evolution of these systems is examined, providing valuable insights for future development. Additionally, the current status of the development of rotating inertial navigation systems in China is summarized. Finally, with the aim of improving the autonomous navigation accuracy of the system, the key technologies and research status of rotating inertial navigation systems that need to be addressed are analyzed from three aspects: rotation strategy optimization, error calibration, and initial alignment. This in-depth analysis helps identify the challenges and opportunities in this field. Based on the summary of the optical gyro rotating modulation inertial navigation system and the development of key technologies, several thoughts are put forward for the subsequent research on rotating inertial navigation systems, which can serve as a valuable reference for the research on high-precision autonomous navigation technology.

Key words： laser gyroscope; fiber optic gyroscope; rotation modulation; rotation inertial navigation; rotation strategy; inertial navigation; error compensation; online calibration

参考文献

原文顺序 | 文献年度倒序 | 文中引用次数倒序

[1]	齐广峰. 旋转调制式激光惯导系统综述[J]. 仪表技术, 2014, (12): 46-47. QI G F. Summary on laser inertial navigation system with rotating modulation[J]. Instrumentation Technology, 2014, (12): 46-47.

[2]	TITTERTON DAVID, WESTON JOHN L. Strapdown inertial navigation technology[M]. Stevenage: IET, 2004.

[3]

李京书, 许江宁, 查峰, 等. 捷联惯导系统旋转调制技术发展综述[C]// 中国惯性技术学会.微机电惯性技术的发展现状与趋势——惯性技术发展动态发展方向研讨会. 北京: 中国惯性技术学会, 2011: 7-11.

LI

J S

, XU

J N

, ZHA

F

, et al. Review of development in rotational modulation technology for strapdown inertial navigation systems[C]//CSIT.Proceedings of Current Status and Trends in MEMS Inertial Technology—Symposium on the Development Directions of Inertial Technology. Beijing:CSIT, 2011: 7-11.

[4]	秦永元. 惯性导航[M]. 北京: 科学出版社, 2006. QIN Y Y. Inertial Navigation[M]. Beijing: Science Press, 2006.

[5]	LIANG A C, KLEINBAUM D L. Drift compensation and acceleration resolution for a rotating platform IMU[J]. Journal of Spacecraft and Rockets, 1974, 11(8): 547-548.

[6]	OSHIKA E M, PARZIALE A J. Redundant carousel strapdown guidance system[C]// IEEE. Proceedings of the Conference on Position Location and Navigation Symposium New York: IEEE, 1976.

[7]	LEVINSON E, JR C S G. Laser gyro potential for long endurance marine navigation[J]. IEEE Plans, 1980, 1980:1127-1139.

[8]	FULFROST J, CHECCO W J. Ring laser gyro navigator for surface combatant ships[J]. IEEE Plans, 1984, 1984:985-997.

[9]	LEVINSON E, MAJURE R. Accuracy enhancement techniques applied to the marine ring laser inertial navigator (MARLIN)[J]. Navigation, 1987, 34(1): 64-86.

[10]	ADAMS G, GOKHALE M. Fiber optic gyro based precision navigation for submarines:AIAA 2000-4384[R]. Reston:AIAA, 2000.

[11]	HECKMAN D W, BARETELA L M. Improved affordability of high precision submarine inertial navigation by insertion of rapidly developing fiber optic gyro technology[J]. IEEE Explore, 2000, 2000:404-410.

[12]	DU S, SUN W, GAO Y. Integration of GNSS and MEMS-based rotary INS for bridging GNSS outages[C]// CSNC. Proceedings of the 2015 China Satellite Navigation Conference. Berlin:Springer, 2015: 659-676.

[13]	盛蔚, 巩青. 一种用于MEMS-IMU的单轴旋转调制方法[J]. 计算机仿真, 2018, 35(3): 50-54. SHENG W, GONG Q. A single axis rotation modulation method for MEMS-IMU[J]. Computer Simulation, 2018, 35(3): 50-54.

[14]	陈刚, 唐明浩, 张海峰, 等. 基于驱动振型进动的半球谐振陀螺旋转调制方法[J]. 中国惯性技术学报, 2021, 29(5): 589-593. CHEN G, TANG M H, ZHANG H F, et al. Rotation modulation method of hemispherical resonant gyroscope based on driving vibration mode precession[J]. Journal of China Inertial Technology, 2021, 29(5): 589-593.

[15]	GIOVANNI C S, LEVINSON E. Performance of a ring laser strapdown marine gyrocompass[J]. Navigation, 1981, 28(4) : 311-341.

[16]	TERRY T, EMANUEL L. The AN/WSN-7B marine gyro compass/navigator[C] // IEEE.Proceedings of the 2000 National Technical Meeting of the Institute of Navigation. New York: IEEE, 2000: 348-357.

[17]	LAHHAM J I, BRAZELL J R. Acoustic noise reduction in the MK 49 ship's inertial navigation system (SINS)[C]// IEEE. Proceedings of the IEEE PLANS 92 Position Location and Navigation Symposium Record. New York: IEEE, 1992:2173-2180.

[18]	LEVINSON E, WILLCOCKS M. The next generation marine inertial navigation is here now[C]//IEEE.Proceedings of the IEEE Conference on Position Location and Navigation Symposium. New York: IEEE, 1994: 121-127.

[19]	KOHL K W. The new high accuracy ships inertial navigation system PL41 MK4[J]. Symposium GyrTechnology, 1990, 14:10-14.

[20]	LAHHAM J I, BRAZELL J R. Acoustic noise reduction in the MK 49 ships inertial navigation system[C]//IEEE. Proceedings of the IEEE Conference on Position Location and Navigation Symposium New York:IEEE,1992: 32-39.

[21]	SHOJIRO I, STAOSHI T, HIROSHI Y, et al. Accuracy improvement of an inertial navigation system brought about by the rotational motion[J]. IEEE OCEANS-Europe, 2007, 2007:1-5.

[22]	HECKMAN D W, BARETELA L M. Interferometric fiber-optic gyro technology[J]. IEEE Aerospace and Electronic Systems Magazine, 2000, 15(2) : 23-28.

[23]	袁保伦. 四频激光陀螺旋转式惯导系统研究[D]. 长沙: 国防科学技术大学, 2007. YUAN B L. Research on four-frequency laser gyro strapdown inertial navigation system[D]. Changsha: National University of Defense Technology, 2007.

[24]	孙伟. 旋转调制型捷联惯性导航系统[M]. 北京: 测绘出版社, 2014. SUN W. Strapdown inertial navigation system of rotation modulation type[M]. Beijing: Survey and Mapping Press, 2014.

[25]	龙兴武, 于旭东, 张鹏飞, 等. 激光陀螺单轴旋转惯性导航系统[J]. 中国惯性技术学报, 2010, 18(2): 149-153. LONG X W, YU X D, ZHANG P F, et al. Single-rotating inertial navigation system with ring laser gyroscope[J]. Journal of China Inertial Technology, 2010, 18(2): 149-153.

[26]	YU X D, LONG X W, WANG Y. Research on multi-position alignment in single-axial rotation inertial navigation system with ring laser gyroscope[J]. Chinese Journal of Sensors and Actuators, 2011, 24(6): 824-828.

[27]	周章华, 徐海刚, 吴亮华, 等. 单轴旋转SINS方位陀螺漂移分析与估计[J]. 中国惯性技术学报, 2013, 21(1): 31-36. ZHOU Z H, XU H G, WU L H, et al. Analysis and estimation for azimuth gyro drift of single-axis rotation SINS[J]. Journal of China Inertial Technology, 2013, 21(1): 31-36.

[28]	王彬, 翁海娜, 汪湛清, 等. 基于速度阻尼的双轴旋转式激光陀螺捷联惯导标定方法[J]. 中国惯性技术学报, 2014, 22(4): 421-425. WANG B, WEN H N, WANG Z Q, et al. Calibration method for two-axis indexing rlg-sins with speed damping[J]. Journal of China Inertial Technology, 2014, 22(4): 421-425.

[29]	刘生攀, 王文举, 饶兴桥. 单轴旋转捷联惯性导航系统误差分析与转位方案研究[J]. 兵工学报, 2018, 39(9): 1749-1755. DOI LIU S P, WANG W J, RAO X Q. Error analysis and rotation scheme research of single-axis rotary SINS[J]. Acta Armamentarii, 2018, 39(9): 1749-1755.

[30]	ZHA F, CHANG L B, HE H Y. Comprehensive error compensation for dual-axis rotational inertial navigation system[J]. IEEE Sensors Journal, 2020, 20(7): 3788-3802.

[31]	雷一非, 谢波, 李淑英. 激光陀螺捷联惯导系统旋转调制技术综述[J]. 导航与控制, 2019, 18(6): 10-20. DOI LEI Y F, XIE B, LI S Y. Review of rotation modulation technology for ring laser gyroscope strapdown inertial navigation system[J]. Journal of Navigation and Control, 2019, 18(6): 10-20.

[32]	孙枫, 孙伟, 郭真. 基于IMU旋转的捷联惯导系统自补偿方法[J]. 仪器仪表学报, 2009, 30(12): 2511-2517. SUN F, SUN W, GUO Z. Auto-compensation method of sins based on imu rotation[J]. Transactions of Instruments & Measurement, 2009, 30(12): 2511-2517.

[33]	SUN F, WANG Q. Researching on the compensation technology of rotating mechanism error in single-axis rotation strapdown inertial navigation system[C]// IEEE. Proceedings of the 2012 IEEE International Conference on Mechatronics and Automation. New York: IEEE, 2012: 1767-1772.

[34]	WANG L, LI K, CHEN Y, et al. Single-axis rotation/azimuth-motion insulation inertial navigation control system with FOGs[J]. Optics Express, 2017, 25(25): 30956-30975. DOI PMID

[35]	范会迎. 三轴旋转激光陀螺惯导系统误差补偿技术研究[D]. 长沙: 国防科技大学, 2021. FAN H Y. Research on error compensation technologies for tri-axis rotation inertial navigation system with laser gyros[D]. Changsha: National University of Defense Technology, 2021.

[36]	王其, 徐晓苏. 旋转IMU在光纤捷联航姿系统中的应用[J]. 中国惯性技术学报, 2007(3): 265-268. WANG Q, XU X S. Application of IMU rotation in FOG strapdown attitude and heading reference system[J]. Journal of Chinese Inertial Technology, 2007(3): 265-268.

[37]	查峰, 位秋硕, 何泓洋, 等. 基于IMU体对角线旋转的双轴旋转方案[J]. 系统工程与电子技术, 2023, 45(8): 2546-2554. DOI ZHA F, WEI Q S, HE H Y, et al. Biaxial rotation scheme based on diagonal rotation of IMU body[J]. Systems Engineering and Electronics, 2023, 45(8): 2546-2554. DOI

[38]	查峰, 位秋硕, 何泓洋. 一种改进的双轴旋转惯导系统误差调制方案[J]. 火力与指挥控制, 2023, 48(2): 180-186. ZHA F, WEI Q S, HE H Y. An improved error modulation scheme for two-axis rotation inertial navigation system[J]. Fire Control & Command Control, 2023, 48(2): 180-186.

[39]	李鼎, 于旭东, 魏国, 等. 长航时激光陀螺惯性导航系统技术发展现状及趋势[J]. 光学学报, 2023, 43(17): 112-126. LI D, YU X D, WEI G, et al. Development and prospects of long-endurance ring laser gyro inertial navigation system technology[J]. Acta Photonica Sinica, 2023, 43(17): 112-126.

[40]	孙枫, 王秋滢. 三轴旋转捷联惯导系统旋转方案设计[J]. 仪器仪表学报, 2013, 34(1): 65-72. SUN F, WANG Q Y. Rotation scheme design for modulated SINS with three rotating axis[J]. Transactions of Instruments & Measurement, 2013, 34(1): 65-72.

[41]	查峰, 覃方君, 李京书, 等. 三轴旋转惯性导航系统的旋转控制建模研究[J]. 兵工学报, 2017, 38(8): 1610-1618. DOI ZHA F, QIN F J, LI J S, et al. Rotation control modeling of triaxial rotating inertial navigation system[J]. Acta Armamentarii, 2017, 38(8): 1610-1618. DOI

[42]	LU Y, WANG W, LIU Y, et al. An improved rotational modulation scheme for tri-axis rotational inertial navigation system (RINS) with fiber optic gyro (FOG)[J]. Applied Sciences, 2023, 13(14): 8394.

[43]	孙伟, 孙枫. 调制型光纤捷联系统系泊状态标校方法[J]. 系统工程与电子技术, 2010, 32(12): 2652-2659. SUN W, SUN F. Mooring calibration of fiber optic gyroscope strapdown inertial navigation system based on indexing scheme[J]. Systems Engineering and Electronics, 2010, 32(12): 2652-2659.

[44]	查峰, 许江宁, 黄寨华, 等. 单轴旋转惯导系统旋转性误差分析及补偿[J]. 中国惯性技术学报, 2012, 20(1): 11-17. ZHA F, XU J N, HUANG Z H, et al. Analysis and compensation for rotary errors of inertial navigation system with single axis rotation[J]. Journal of China Inertial Technology, 2012, 20(1): 11-17.

[45]	高延滨, 管练武, 王庭军, 等. 单轴旋转式光纤捷联惯导系统定位精度分析[J]. 仪器仪表学报, 2014, 35(4): 794-800. GAO Y B, GUAN L W, WANG T J, et al. Position accuracy analysis for single-axis rotary FSINS[J]. Chinese Journal of Scientific Instrument, 2014, 35(4): 794-800.

[46]	于旭东. 二频机抖激光陀螺单轴旋转惯性导航系统若干关键技术研究[D]. 长沙: 国防科技大学, 2011. YU X D. Research on some key technologies forsingle-axis rotation inertial navigationsystem with mechanically dithered ringlaser gyroscope[D]. Changsha: National University of Defense Technology, 2011.

[47]

于旭东, 魏学通, 李莹, 等. RBF神经网络在单轴旋转惯导系统轴向陀螺漂移辨识中的应用[J]. 国防科技大学学报, 2012, 34(3): 48-52.

YU

X D

, WEI

X T

, LI

Y

, et al. Application of radial basis function network for identification of axial rlg drifts in single-axis rotation inertial navigation system[J]. Journal of National University of Defense Technology, 2012, 34(3): 48-52.

[48]	于旭东, 王宇, 张鹏飞, 等. 单轴旋转惯导系统中陀螺漂移的精确校准[J]. 光学精密工程, 2012, 20(6): 1201-1207. YU X D, WANG Y, ZHANG P F. Calibration of rlg drift in single-axis rotation INS[J]. Optics and Precision Engineering, 2012, 20(6): 1201-1207.

[49]	胡杰, 程向红, 朱倚娴. 单轴旋转SINS轴向陀螺漂移精确标校方法[J]. 系统工程与电子技术, 2017, 39(7): 1564-1569. HU J, CHENG X H, ZHU Y X. Calibration method for axial gyro drifts of single-axis rotary SINS[J]. Systems Engineering and Electronics, 2017, 39(7): 1564-1569.

[50]	胡杰, 严勇杰. 基于TLKF的单轴旋转 SINS 在线自标定方法[J]. 计算机仿真, 2021, 38(2): 180-186. HU J, YAN Y J. On-line self-calibration method for single-axis rotary sins based on two-level kalman filter[J]. Computer Simulation, 2021, 38(2): 180-186.

[51]	LI K, CHEN Y, WANG L. Online self-calibration research of single-axis rotational inertial navigation system[J]. Measurement, 2018, 129: 633-641.

[52]	刘凤. 单轴旋转光纤陀螺惯性系统在线标定技术研究[D]. 哈尔滨: 哈尔滨工程大学, 2014. LIU F. On-line calibration technology for shipborne single-axis rotating fiber optic strapdown inertial navigation system[D]. Harbin:Harbin Engineering University, 2014.

[53]

原小乔, 刘锡祥, 刘贤俊, 等. 基于冗余单轴旋转调制惯导系统的误差在线标定算法[C]// 中国惯性技术学会.新型惯性元件与先进导航技术研究会. 北京: 中国惯性技术学会, 2023: 7-13.

YUAN

X Q

, LIU

X X

, LIU

X J

, et al. Error online calibration algorithm based on redundant single axis rotation modulation inertial navigation system[C]//CSIT. Proceedings of the New Inertial Components and Advanced Navigation Technology Seminar. Beijing:CSIT, 2023:7-13.

[54]	孙枫, 孙伟. 基于双轴转位机构的光纤陀螺标定方法[J]. 控制与决策, 2011, 26(3): 346-350. SUN F, SUN W. Research on calibration of ifog based on two-axis indexing[J]. Control and Decision, 2011, 26(3): 346-350.

[55]	袁保伦, 饶谷音. 光学陀螺旋转惯导系统原理探讨[J]. 国防科技大学学报, 2006(6): 76-80. YUAN B L, RAO G Y. On the theory of optical gyro rotating inertial navigation system[J]. Journal of National University of Defense Technology, 2006(6): 76-80.

[56]	GAO W, ZHANG Y, WANG J. Research on initial alignment and self-calibration of rotary strapdown inertial navigation systems[J]. Sensors, 2015, 15(2): 3154-3171. DOI PMID

[57]	REN Q, WANG B, DENG Z H, et al. A multi-position self-calibration method for dual-axis rotational inertial navigation system[J]. Sensors and Actuators A: Physical, 2014, 219: 24-31.

[58]	FENG S, QIAN S, YUEYANG B, et al. A new method of initial alignment and self-calibration based on dual-axis rotating strapdown inertial navigation system[C]// IEEE.Proceedings of the 2012 IEEE/ION Position, Location and Navigation Symposium. New York: IEEE, 2012: 808-813.

[59]	WANG B, DENG Z, LIU C, et al. Estimation of information sharing error by dynamic deformation between inertial navigation systems[J]. IEEE Transactions on Industrial Electronics, 2013, 61(4): 2015-2023.

[60]	WANG B, REN Q, DENG Z, et al. A self-calibration method for nonorthogonal angles between gimbals of rotational inertial navigation system[J]. IEEE Transactions on Industrial Electronics, 2014, 62(4): 2353-2362.

[61]	王林. 航海多惯导协同定位与误差参数估计[D]. 长沙: 国防科技大学, 2018. WANG L. Marine multi-INS cooperative positioning and error parameter estimation[D]. Changsha: National University of Defense Technology, 2018.

[62]	WU Q, LI K. An inertial device biases on-line monitoring method in the applications of two rotational inertial navigation systems redundant configuration[J]. Mechanical Systems and Signal Processing, 2019, 120: 133-149.

[63]	崔加瑞, 吴文启, 马铁锋, 等. 双惯导联合旋转调制光纤陀螺标度因数误差自校正方法[J]. 中国惯性技术学报, 2022, 30(5): 561-568. CUI J R, WU W Q, MA T F, et al. Self-calibration of scale factor error for fiber optic gyroscope based on joint rotation modulation method of dual INS[J]. Chinese Journal of Inertial Technology, 2022, 30(5): 561-568.

[64]	梁钟泓, 罗晖, 李鼎, 等. 基于双惯导系统协同的全参数在线标定算法[J]. 中国惯性技术学报, 2023, 31(4): 319-326. LIANG Z H, LUO H, LI D, et al. All-parameter online calibration algorithm based on the collaboration between dual INSs[J]. Journal of Chinese Inertial Technology, 2023, 31(4): 319-326.

[65]	FU Q, LI S, LIU Y, et al. Information-reusing alignment technology for rotating inertial navigation system[J]. Aerospace Science and Technology, 2020, 99: 105747.

[66]	FU Q, QIN Y, LI S, et al. Optimal two-position alignment method based on parameter identification[J]. Journal of Chinese Inertial Technology, 2013, 21(4): 430-434.

[67]	LIU Z, WANG X. Confirmation and analysis on the optimal multiposition alignment of strapdown inertial navigation system[J]. Journal of Beijing University of Aeronautics and Astronautics, 2013, 39(3): 330.

[68]	SONG T, LI K, WANG L, et al. A rapid and high-precision initial alignment scheme for dual-axis rotational inertial navigation system[J]. Microsystem Technologies, 2017, 23: 5515-5525.

[69]	关劲, 李仔冰. 旋转式捷联惯导系统精对准方法[J]. 中国惯性技术学报, 2010, 18(4): 396-400. GUAN J, LI Z B. Refined alignment in rotary inertial navigation system[J]. Journal of Chinese Inertial Technology, 2010, 18(4): 396-400.

[70]	孙枫, 曹通. 一种单轴旋转捷联惯导的三位置对准方法[J]. 仪器仪表学报, 2011, 32(4): 837-842. SUN F, CAO T. Three position alignment of single axis rotation strapdown inertial navigation system[J]. Transactions of Instruments & Measurement, 2011, 32(4): 837-842.

[71]	WEI D, LI S, FU Q. A new initial alignment scheme for dual-axis rotational inertial navigation system[J]. IEEE Transactions on Instrumentation and Measurement, 2022, 71: 1-10.

[72]	秦永元, 严恭敏, 顾冬晴, 等. 摇摆基座上基于信息的捷联惯导粗对准研究[J]. 西北工业大学学报, 2005, 23(5): 140-143. QIN Y Y, YAN G M, GU D Q, et al. A clever way of SINS coarse alignment despite rocking ship[J]. Journal of Northwestern Polytechnical University, 2005, 23(5): 140-143.

[73]	赵长山, 秦永元, 白亮. 基于双矢量定姿的摇摆基座粗对准算法分析与实验[J]. 中国惯性技术学报, 2009, 17(4): 436-440. ZHAO C S, QIN Y Y, BAI L. Analysis and test of swaying-based analytic coarse alignment algorithm[J]. Journal of Chinese Inertial Technology, 2009, 17(4): 436-440.

[74]	孙枫, 孙伟. 摇摆基座下旋转捷联系统粗对准技术研究[J]. 仪器仪表学报, 2010, 31(4): 929-936. SUN F, SUN W. Research on coarse alignment of rotary SINS on a swing base[J]. Transactions of Instruments & Measurement, 2010, 31(4): 929-936.

[75]	练军想. 捷联惯导动基座对准新方法及导航误差抑制技术研究[D]. 长沙: 国防科学技术大学, 2007. LIAN J X. Research on a new moving-base alignment approach and error depression of strapdown inertial navigation system[D]. Changsha: National University of Defense Technology, 2007.

[76]	练军想, 汤勇刚, 吴美平, 等. 捷联惯导惯性系动基座对准算法研究[J]. 国防科技大学学报, 2007(5): 95-99. LIAN J X, TANG Y G, WU M P, et al. Study on SINS alignment algorithm with inertial frame for swaying bases[J]. Journal of National University of Defense Technology, 2007(5): 95-99.

[77]	高亚楠, 陈家斌, 杨亭鹏. 捷联式光纤陀螺罗经系统误差分析[J]. 北京理工大学学报, 2005, 25(5): 423-426. GAO Y N, CHEN J B, YANG T P. Error analysis of strapdown optic fiber gyro compass[J]. Journal of Beijing Institute of Technology, 2005, 25(5): 423-426.

[78]	汪滔, 吴文启, 曹聚亮, 等. 基于转动的光纤陀螺捷联系统初始对准研究[J]. 压电与声光, 2007, 29(5): 519-522. WANG T, WU W Q, CAO J L, et al. Initial alignment study of a rotation-based fiber-optic gyrojet system[J]. Piezoelectrics & Acoustooptics, 2007, 29(5): 519-522.

[79]	严恭敏, 严卫生, 徐德民. 基于欧拉平台误差角的 SINS 非线性误差模型研究[J]. 西北工业大学学报, 2009, 27(4): 511-516. YAN G M, YAN W S, XU D M. A SINS Nonlinear error model reflecting better characteristics of SINS errors[J]. Journal of Northwestern Polytechnical University, 2009, 27(4): 511-516.

[80]	黄凤荣, 孙伟强, 翁海娜. 基于UKF的旋转式SINS大方位失准角初始对准方法[J]. 中国惯性技术学报, 2010, 18(5): 513-517. HUANG F R, SUN W Q, WENG H N. Rotary SINS initial alignment for large heading misalignment based on UKF[J]. Journal of Chinese Inertial Technology, 2010, 18(5): 513-517.

[81]	CHENG Y, LI Q, FU Q W. Backtracking alignment algorithm for single-axis rotating SINS[J]. Aviation Precision Manufacturing Technology, 2018, 54(1): 16-20.

[82]	XU C, MIAO L, ZHOU Z, et al. A rapid and high-accuracy rotation alignment method based on bidirectional process for dual-axis rotational inertial navigation system[J]. Measurement Science and Technology, 2020, 31(12): 125106.