ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Dual dynamic carrier positioning algorithm based on double factor graph and ambiguity optimization
Received date: 2024-10-08
Revised date: 2024-12-30
Accepted date: 2025-03-28
Online published: 2025-03-28
Supported by
National Natural Science Foundation of China(62173237);Open Foundation for State Key Laboratory of Optoelectronic Dynamic Measurement Technology and Instrumentation for Extreme Environments(2023-SYSJJ-04);Aeronautical Science Foundation of China(20240055054001)
With the rapid development of unmanned systems, autonomous driving, and other related fields, dual dynamic carrier relative positioning technology has become increasingly important for achieving high-precision real-time positioning and adapting to complex environments. To improve the accuracy and reliability of the existing relative positioning algorithm for dual dynamic carrier, this paper proposes a dual dynamic carrier relative positioning algorithm based on Double Factor graph and Ambiguity Resolution optimization (DF-AR), incorporating reference station processing, ambiguity resolution, and mobile station resolution optimization methods. To improve relative positioning accuracy, a factor graph optimization model integrating multi-frequency and multi-system Kalman filtering is used to suppress single-point positioning errors at the reference station. Using baseline constraints along with data quality weighting, an improved data and model-driven partial ambiguity resolution strategy is constructed. The ambiguity subset with higher reliability is selected to improve the success rate of ambiguity fixation and the reliability of the relative positioning solution. Based on these improvements, a sliding window is introduced in the factor graph optimization model to dynamically adjust the data amount. The positioning solution of the mobile station is reoptimized to achieve more robust relative positioning results. Static evaluation experiments, dual-vehicle and UAV/vehicle dynamic relative positioning experiments were carried out. The experimental results show that in different experimental scenarios, the baseline solution error of the DF-AR relative positioning algorithm has an error reduction of 69.72%, 94.89%, and 68.03% compared to the RTKLIB algorithm. The baseline solution accuracy has been improved from meter level to decimeter level, effectively enhancing the reliability and accuracy of relative positioning.
Ershen WANG , Zexin LIU , Deyan WANG , Tengli YU , Fanchen MENG , Yayi LIU , Song XU . Dual dynamic carrier positioning algorithm based on double factor graph and ambiguity optimization[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2025 , 46(13) : 531332 -531332 . DOI: 10.7527/S1000-6893.2024.31332
| [1] | 张晓帆, 刘鑫, 黄婉君. 美国航母联合精确进近着舰系统[J]. 舰船科学技术, 2024, 46(2): 185-189. |
| ZHANG X F, LIU X, HUANG W J. US aircraft carrier joint precision approach and landing system[J]. Ship Science and Technology, 2024, 46?(2): 185-189 (in Chinese). | |
| [2] | ZHANG L F, WANG S P, MARIA SERGEEVNA S, et al. A new adaptive Kalman filter for navigation systems of carrier-based aircraft[J]. Chinese Journal of Aeronautics, 2022, 35(1): 416-425. |
| [3] | TEUNISSEN P J G. A new method for fast carrier phase ambiguity estimation[C]?∥Proceedings of 1994 IEEE Position, Location and Navigation Symposium-PLANS’94. Piscataway: IEEE Press,1994. |
| [4] | 杨卫平. 新一代飞行器导航制导与控制技术发展趋势[J]. 航空学报, 2024, 45(5): 529720. |
| YANG W P. Development trend of navigation guidance and control technology for new generation aircraft[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(5): 529720 (in Chinese). | |
| [5] | 顾海燕, 熊健. 全自动精密进近引导与传输技术研究[J]. 电讯技术, 2024, 64(7): 1102-1106. |
| GU H Y, XIONG J. Research on fully automatic precision approach guidance and transmission technology?[J]. Telecommunication Engineering, 2024, 64(7): 1102-1106 (in Chinese). | |
| [6] | KRASUSKI K, CIE?KO A, BAKU?A M, et al. New methodology of designation the precise aircraft position based on the RTK GPS solution[J]. Sensors, 2021, 22(1): 21. |
| [7] | KRASUSKI K, CIE?KO A, GRUNWALD G, et al. Improving positioning accuracy of aircraft using SPP method in GLONASS system?[J]. Archives of Transport, 2024, 69(1): 21-37. |
| [8] | JIANG C H, CHEN Y W, JIA J X, et al. Open-source optimization method for Android smartphone single point positioning[J]. GPS Solutions, 2022, 26(3): 90. |
| [9] | KANHERE A V, GUPTA S, SHETTY A, et al. Improving GNSS positioning using neural-network-based corrections[J]. NAVIGATION: Journal of the Institute of Navigation, 2022, 69(4): 548. |
| [10] | DELLAERT F, KAESS M. Factor graphs for robot perception[J]. Foundations and Trends in Robotics, 2015, 6(1-2): 1-139. |
| [11] | WEN W S, HSU L T. Towards robust GNSS positioning and real-time kinematic using factor graph optimization[C]?∥2021 IEEE International Conference on Robotics and Automation (ICRA). Piscataway: IEEE Press, 2021. |
| [12] | YAN S D, Lyu S L, LIU G, et al. Real-time kinematic positioning algorithm in graphical state space?[C]?∥Proceedings of the 2023 International Technical Meeting of The Institute of Navigation. Long Beach: Institute of Navigation, 2023. |
| [13] | WEN W S, ZHANG G H, HSU L T. GNSS outlier mitigation via graduated non-convexity factor graph optimization[J]. IEEE Transactions on Vehicular Technology, 2022, 71(1): 297-310. |
| [14] | CHENG Q, CHEN W, SUN R, et al. Strategy for single-epoch RTK positioning using dual frequency in urban areas[J]. IEEE Internet of Things Journal, 2024, 11(3): 4523-4534. |
| [15] | TANG H B, WAN B H, MAO X C. Multi-system real-time kinematic positioning based on fast satellite selection and improved Kalman filter[J]. Journal of Shanghai Jiaotong University (Science), 2024: 1-11. |
| [16] | TEUNISSEN P J G, JOOSTEN P, TIBERIUS C C J M. Geometry-free ambiguity success rates in case of partial fixing[C]?∥Proceedings of the 1999 National Technical Meeting of the Institute of Navigation. San Diego: Institute of Navigation, 1999. |
| [17] | ZHANG X, YANG J. MPARELAM: A robust approach for ambiguity resolution in complex RTK positioning scenarios[J]. IEEE Sensors Journal, 2023, 23(17): 19582-19589. |
| [18] | TEUNISSEN P.J.G., VERHAGEN S. The GNSS ambiguity ratio-test revisited: A better way of using it[J]. Survey Review, 2009, 41(312): 138-151. |
| [19] | TAO X L, LIU W K, WANG Y Z, et al. Smartphone RTK positioning with multi-frequency and multi-constellation raw observations: GPS L1/L5, Galileo E1/E5a, BDS B1I/B1C/B2a[J]. Journal of Geodesy, 2023, 97(5): 43. |
| [20] | HOU Y Q, VERHAGEN S, WU J. A data driven partial ambiguity resolution: Two step success rate criterion, and its simulation demonstration?[J]. Advances in Space Research, 2016, 58(11): 2435-2452. |
| [21] | LU L G, MA L Y, LIU W K, et al. A triple checked partial ambiguity resolution for GPS/BDS RTK positioning[J]. Sensors, 2019, 19(22): 5034. |
| [22] | CHEN C, ZHU J L, BO Y M, et al. Pedestrian smartphone navigation based on weighted graph factor optimization utilizing GPS/BDS multi-constellation?[J]. Remote Sensing, 2023, 15(10): 2506. |
| [23] | 徐正鹏, 张全, 牛小骥. GNSS单点解算用于组合导航性能分析[J]. 测绘地理信息, 2019, 44(1): 32-35. |
| XU Z P, ZHANG Q, NIU X J. Analysis of integrated navigation base on GNSS single point position[J]. Journal of Geomatics, 2019, 44(1): 32-35 (in Chinese). | |
| [24] | BRACK A. Reliable GPS+BDS RTK positioning with partial ambiguity resolution[J]. GPS Solutions, 2017, 21(3): 1083-1092. |
| [25] | ZHOU Z L, LIU B Y, YANG H Z. A Hopular based weighting scheme for improving kinematic GNSS positioning in deep urban canyon[J]. Measurement Science and Technology, 2024, 35(7): 076304. |
| [26] | KHODABANDEH A, TEUNISSEN P J G. Bias-constrained integer least squares estimation: Distributional properties and applications in GNSS ambiguity resolution[J]. Journal of Geodesy, 2024, 98(5): 40. |
| [27] | MIAO W K, LI B F, GAO Y, et al. Vectorial integer bootstrapping of best integer equivariant estimation (VIB-BIE) for efficient and reliable GNSS ambiguity resolution[J]. Journal of Geodesy, 2024, 98(4): 30. |
| [28] | VERHAGEN S. On the approximation of the integer least-sqaures success rate: Which lower or upper bound to use??[J]. Journal of Global Positioning Systems, 2003, 2(2): 117-124. |
| [29] | JI S Y, WANG J, WENG D J, et al. Detailed investigation on ambiguity validation of long-distance RTK?[J]. Remote Sensing, 2024, 16(16): 2982. |
| [30] | WANG Z P, HOU X P, DAN Z Q, et al. Adaptive Kalman filter based on integer ambiguity validation in moving base RTK[J]. GPS Solutions, 2022, 27(1): 34. |
| [31] | 张小红, 张元泰, 朱锋. 城市复杂场景下GNSS定位的因子图优化方法及其抗差性能分析[J]. 武汉大学学报(信息科学版), 2023, 48(7): 1050-1057. |
| ZHANG X H, ZHANG Y T, ZHU F. Factor graph optimization for urban environment GNSS positioning and robust performance analysis[J]. Geomatics and Information Science of Wuhan University, 2023, 48(7): 1050-1057 (in Chinese). |
/
| 〈 |
|
〉 |