Citation: | MAO Ning, LI An, XU Jiangning, QIN Fangjun, LI Fangneng. Observability Analysis and Robust Fusion Algorithms of INS/Gravity Integrated Navigation[J]. Geomatics and Information Science of Wuhan University, 2024, 49(11): 2113-2121. DOI: 10.13203/j.whugis20230075 |
Inertial navigation system (INS)/gravity integrated navigation is an important research direction for autonomous navigation of underwater vehicles, and it is also an important part of the construction of underwater positioning, navigation and timing (PNT) system. To satisfy the needs of underwater vehicles for long endurance, high accuracy and high stealth navigation and positioning, an INS/gravity matching navigation algorithm based on the adaptive robust Sandia inertial terrain-aided navigation(SITAN) algorithm was proposed.
The mathematical model of the INS/gravity matching navigation system is first developed, then the observable combined states are analyzed and the state variables that can be used in the SITAN algorithm are investigated. Finally, a new compensation factor is designed by comparing the difference between recursive and calculated values of the innovation covariance matrix in the filtering process, and an adaptive robust SITAN algorithm is proposed.
Three different sea areas are selected for the long-endurance simulation test. The results show that traditional SITAN algorithm cannot accomplish stable matching navigation at long navigation time, and compared with the SITAN algorithm based on Sage-Husa adaptive filtering, the proposed improved algorithm has an average increase of 15.2% and 41.4% in the mean value and standard deviation of position errors.
By adding a new compensation factor, the adaptive robust SITAN algorithm can adjust the measurement noise covariance and filter gain at the same time, which enhances the robust adaptive capability of the system while improving the positioning accuracy. Moreover, this method does not need to introduce external auxiliary information, which is of great significance to the long-term autonomous navigation of underwater vehicles.
[1] |
郑伟, 李钊伟, 吴凡. 天海一体化水下重力辅助导航研究进展[J]. 国防科技大学学报, 2020, 42(3): 39-49.
Zheng Wei, Li Zhaowei, Wu Fan. Research Progress of the Underwater Gravity-Aided Navigation Based on the Information of Aerospace-Marine Integration[J]. Journal of National University of Defense Technology, 2020, 42(3): 39-49.
|
[2] |
Yang Y. Resilient PNT Concept Frame[J]. Journal of Geodesy and Geoinformation Science, 2019, 2(3): 1 - 7.
|
[3] |
卞鸿巍, 许江宁, 何泓洋, 等. 国家综合PNT体系弹性概念[J]. 武汉大学学报(信息科学版), 2021, 46(9): 1265-1272.
Bian Hongwei, Xu Jiangning, He Hongyang, et al. The Concept of Resilience of National Comprehensive PNT System[J]. Geomatics and Information Science of Wuhan University, 2021, 46(9): 1265-1272.
|
[4] |
黄谟涛, 邓凯亮, 欧阳永忠, 等. 海空重力测量及应用技术研究若干进展[J]. 武汉大学学报(信息科学版), 2022, 47(10): 1635-1650.
Huang Motao, Deng Kailiang, Ouyang Yongzhong, et al. Development and Study in Marine and Airborne Gravimetry and Its Application[J]. Geomatics and Information Science of Wuhan University, 2022, 47(10): 1635-1650.
|
[5] |
毛宁, 李安, 许江宁, 等. 一种基于地轴投影的二维重力匹配方法[J]. 中国惯性技术学报, 2022, 30(6): 783-790.
Mao Ning, Li An, Xu Jiangning, et al. A Two-Dimensional Gravity Map Matching Method Based on the Earth’s Axis Projection[J].Journal of Chinese Inertial Technology, 2022, 30(6): 783-790.
|
[6] |
王傲明, 李姗姗, 李新星, 等. 基于自适应并行扩展卡尔曼滤波的SITAN匹配算法[J]. 中国惯性技术学报, 2022, 30(1): 81-88.
Wang Aoming, Li Shanshan, Li Xinxing, et al. SITAN Matching Algorithm Based on Adaptive Parallel Extended Kalman Filter[J]. Journal of Chinese Inertial Technology, 2022, 30(1): 81-88.
|
[7] |
Wang B, Zhu J W, Ma Z X, et al. Improved Particle Filter-Based Matching Method with Gravity Sample Vector for Underwater Gravity-Aided Navigation[J]. IEEE Transactions on Industrial Electronics, 2021, 68(6): 5206-5216.
|
[8] |
Han Y R, Wang B, Deng Z H, et al. A Combined Matching Algorithm for Underwater Gravity-Aided Navigation[J]. IEEE/ASME Transactions on Mechatronics, 2018, 23(1): 233-241.
|
[9] |
Zou J S, Cai T J. Improved Particle Swarm Optimization Screening Iterative Algorithm in Gravity Matching Navigation[J]. IEEE Sensors Journal, 2022, 22(21): 20866-20876.
|
[10] |
Gao S P, Cai T J, Fang K. Gravity-Matching Algorithm Based on K-Nearest Neighbor[J]. Sensors, 2022, 22(12): 4454.
|
[11] |
Zhao S W, Xiao X, Wang Y, et al. An Improved Particle Filter Based on Gravity Measurement Feature in Gravity-Aided Inertial Navigation System[J]. IEEE Sensors Journal, 2023, 23(2): 1423-1435.
|
[12] |
黄炎, 李姗姗, 谭勖立, 等. 基于地球重力场模型的重力匹配数据随机线性化方法[J]. 中国惯性技术学报, 2022, 30(3): 328-335.
Huang Yan, Li Shanshan, Tan Xuli, et al. Random Linearization Method of Gravity Matching Data Based on Earth Gravity Field Model[J]. Journal of Chinese Inertial Technology, 2022, 30(3): 328-335.
|
[13] |
欧阳明达, 孙艺轩, 邝英才, 等. 应用抗差估计SITAN算法的水下重力匹配导航方法[J]. 中国惯性技术学报, 2021, 29(2): 214-220.
Ouyang Mingda, Sun Yixuan, Kuang Yingcai, et al. Underwater Gravity Matching Navigation Method of SITAN Algorithm with Robust Estimation[J]. Journal of Chinese Inertial Technology, 2021, 29(2): 214-220.
|
[14] |
Han Y R, Wang B, Deng Z H, et al. A Matching Algorithm Based on the Nonlinear Filter and Similarity Transformation for Gravity-Aided Underwater Navigation[J]. IEEE/ASME Transactions on Mechatronics, 2018, 23(2): 646-654.
|
[15] |
Wang Z, Huang Y L, Wang M S, et al. A Computationally Efficient Outlier-Robust Cubature Kalman Filter for Underwater Gravity Matching Navigation[J]. IEEE Transactions on Instrumentation and Measurement, 2022, 71: 8500418.
|
[16] |
严恭敏, 邓瑀. 传统组合导航中的实用Kalman滤波技术评述[J]. 导航定位与授时, 2020, 7(2): 50-64.
Yan Gongmin, Deng Yu. Review on Practical Kalman Filtering Techniques in Traditional Integrated Navigation System[J]. Navigation Positioning and Timing, 2020, 7(2): 50-64.
|
[17] |
Wang B, Yu L, Deng Z H, et al. A Particle Filter-Based Matching Algorithm with Gravity Sample Vector for Underwater Gravity Aided Navigation[J]. IEEE/ASME Transactions on Mechatronics, 2016, 21(3): 1399-1408.
|
[18] |
Shen K, Wang M L, Fu M Y, et al. Observability Analysis and Adaptive Information Fusion for Integrated Navigation of Unmanned Ground Vehicles[J]. IEEE Transactions on Industrial Electronics, 2020, 67(9): 7659-7668.
|
[19] |
Chen P, Mao X J, Han J F, et al. Observability Analysis for Orbit Determination Using Spaceborne Gradiometer[J]. Journal of Aerospace Engineering, 2023, 36(2): 04022122.
|
[20] |
Goshen-Meskin D, Bar-Itzhack I Y. Observability Analysis of Piece-Wise Constant Systems. I. Theory[J]. IEEE Transactions on Aerospace and Electronic Systems, 1992, 28(4): 1056-1067.
|
[21] |
Sandwell D T, Müller R D, Smith W H F, et al. New Global Marine Gravity Model from CryoSat-2 and Jason-1 Reveals Buried Tectonic Structure[J]. Science, 2014, 346(6205): 65-67.
|
[1] | SONG Weiwei, SONG Qisheng, HE Qianqian, GONG Xiaopeng, GU Shengfeng. Analysis of PPP-B2b Positioning Performance Enhanced by High-Precision Ionospheric Products[J]. Geomatics and Information Science of Wuhan University, 2024, 49(9): 1517-1526. DOI: 10.13203/j.whugis20230030 |
[2] | ZHU Shaolin, YUE Dongjie, HE Lina, CHEN Jian, LIU Shengnan. BDS-2/BDS-3 Joint Triple-Frequency Precise Point Positioning Models and Bias Characteristic Analysis[J]. Geomatics and Information Science of Wuhan University, 2023, 48(12): 2049-2059. DOI: 10.13203/j.whugis20210273 |
[3] | ZHAO Qile, TAO Jun, GUO Jing, CHEN Guo, XU Xiaolong, ZHANG Qiang, ZHANG Gaojian, XU Shengyi, LI Junqiang. Wide-Area Instantaneous cm-Level Precise Point Positioning: Method and Service System[J]. Geomatics and Information Science of Wuhan University, 2023, 48(7): 1058-1069. DOI: 10.13203/j.whugis20230202 |
[4] | YAN Zhongbao, ZHANG Xiaohong. Partial Ambiguity Resolution Method and Results Analysis for GNSS Uncombined PPP[J]. Geomatics and Information Science of Wuhan University, 2022, 47(6): 979-989. DOI: 10.13203/j.whugis20220025 |
[5] | ZHANG Hui, HAO Jinming, LIU Weiping, ZHOU Rui, TIAN Yingguo. GPS/BDS Precise Point Positioning Model with Receiver DCB Parameters for Raw Observations[J]. Geomatics and Information Science of Wuhan University, 2019, 44(4): 495-500, 592. DOI: 10.13203/j.whugis20170119 |
[6] | ZHANG Xiaohong, LIU Gen, GUO Fei, LI Xin. Model Comparison and Performance Analysis of Triple-frequency BDS Precise Point Positioning[J]. Geomatics and Information Science of Wuhan University, 2018, 43(12): 2124-2130. DOI: 10.13203/j.whugis20180078 |
[7] | ZHANG Xiaohong, CAI Shixiang, LI Xingxing, GUO Fei. Accuracy Analysis of Time and Frequency Transfer Based on Precise Point Positioning[J]. Geomatics and Information Science of Wuhan University, 2010, 35(3): 274-278. |
[8] | ZHANG Xiaohong, GUO Fei, LI Xingxing, LIN Xiaojing. Study on Precise Point Positioning Based on Combined GPS and GLONASS[J]. Geomatics and Information Science of Wuhan University, 2010, 35(1): 9-12. |
[9] | FU Jianhong, YUAN Xiuxiao. Influence of GPS Base Station on Accuracy of Positioning by Airborne Position and Orientation System[J]. Geomatics and Information Science of Wuhan University, 2007, 32(5): 398-401. |
[10] | Huang Shengxiang, Zhang Yan. Estimation of Accuracy Indicators for GPS Relative Positioning[J]. Geomatics and Information Science of Wuhan University, 1997, 22(1): 47-50. |