A state-domain robust autonomous integrity monitoring with an extrapolation method for single receiver positioning in the presence of slowly growing fault
Tóm tắt
Single receiver positioning has been widely used as a standard and standalone positioning technique for about 25 years. To detect the slowly growing faults caused by satellite and receiver clocks in single receiver positioning, the Autonomous Integrity Monitoring with an Extrapolation method (AIME) was proposed based on the Kalman filter measurement domain. However, AIME was designed with the assumption of there is the same number of visible satellites at each epoch, which limits its application. To address this issue, this paper proposes a state-domain Robust Autonomous Integrity Monitoring with the Extrapolation Method (SRAIME). The slowly growing fault detection statistics is established based on the difference between the estimates of the state propagator and the posterior state estimation in Kalman filtering. Meanwhile, singular value decomposition is adopted to factor the covariance matrix of the difference to increase computational robustness. Besides, the relevant formulas of the proposed method are theoretically derived, and it is proven that the proposed method is suitable for any positioning model based on the Kalman filter. Additionally, the results of two experiments indicate that SRAIME can detect slowly growing faults in single receiver positioning earlier than AIME.
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Tài liệu tham khảo
Bhatti, U. I., Ochieng, W. Y., & Feng, S. (2007a). Integrity of an integrated GPS/INS system in the presence of slowly growing errors. Part I: A critical review. GPS Solutions, 11, 173–181.
Bhatti, U. I., Ochieng, W. Y., & Feng, S. (2007b). Integrity of an integrated GPS/INS system in the presence of slowly growing errors. Part II: Analysis. GPS Solutions, 11, 183–192.
Bhatti, U. I., Ochieng, W. Y., & Feng, S. (2012). Performance of rate detector algorithms for an integrated GPS/INS system in the presence of slowly growing error. GPS Solutions, 16, 293–301.
Bruggemann, T. S., Greer, D. G., & Walker, R. A. (2011). GPS fault detection with IMU and aircraft dynamics. IEEE Transactions on Aerospace and Electronic Systems, 47(1), 305–316.
Bu, J., Yu, K., Qian, N., Zuo, X., & Chang, J. (2020). Performance assessment of positioning based on multi-frequency multi-GNSS observations: Signal quality, PPP and baseline solution. IEEE Access, 9, 5845–5861.
Chen, C., & Kia, S. S. (2021a). A Renyi divergence based approach to fault detection and exclusion for tightly coupled GNSS/INS system. In Proceedings of the 2021a International Technical Meeting of the Institute of Navigation (pp. 674–687).
Chen, K., Chang, G., & Chen, C. (2021b). GINav: A MATLAB-based software for the data processing and analysis of a GNSS/INS integrated navigation system. GPS Solutions, 25(3), 108.
Cox, D. B. (1978). Integration of GPS with inertial navigation systems (Miscellaneous Topics). NAVIGATION: Journal of the Institute of Navigation, 25(2), 236–245.
Diesel, J., & King, J. (1995). Integration of navigation systems for fault detection, exclusion, and integrity determination-Without WAAS. In Proceedings of the 1995 National Technical Meeting of The Institute of Navigation (pp. 683–692).
Du, Y., Wang, J., Rizos, C., & El-Mowafy, A. (2021). Vulnerabilities and integrity of precise point positioning for intelligent transport systems: Overview and analysis. Satellite Navigation, 2(1), 1–22.
Duník, J., & Straka, O. (2018). State estimate consistency monitoring in Gaussian filtering framework. Signal Processing, 148, 145–156.
Gaglione, S., Angrisano, A., Freda, P., Innac, A., Vultaggio, M., & Crocetto, N. (2015). Benefit of GNSS multiconstellation in position and velocity domain. In 2015 IEEE Metrology for Aerospace (MetroAeroSpace) (pp. 9–14). IEEE.
Gao, Y., Li, Z., & McLellan, J. F. (1997). Carrier phase based regional area differential GPS for decimeter-level positioning and navigation. In Proceedings of the 10th international technical meeting of the satellite division of the institute of navigation (ION GPS 1997) (pp. 1305–1313).
Gao, Y., Gao, Y., Liu, B., & Jiang, Y. (2021). Enhanced fault detection and exclusion based on Kalman filter with colored measurement noise and application to RTK. GPS Solutions, 25, 1–13.
Geng, Y., & Wang, J. (2008). Adaptive estimation of multiple fading factors in Kalman filter for navigation applications. GPS Solutions, 12, 273–279.
Hide, C., Moore, T., & Smith, M. (2003). Adaptive Kalman filtering for low-cost INS/GPS. The Journal of Navigation, 56(1), 143–152.
Li, Y., & Cai, C. (2022). A mixed single-and dual-frequency quad-constellation GNSS precise point positioning approach on Xiaomi Mi8 smartphones. The Journal of Navigation, 75(4), 849–863.
Li, X., Huang, J., Li, X., Shen, Z., Han, J., Li, L., & Wang, B. (2022a). Review of PPP–RTK: Achievements, challenges, and opportunities. Satellite Navigation, 3(1), 28.
Li, X., Wang, B., Li, X., Huang, J., Lyu, H., & Han, X. (2022b). Principle and performance of multi-frequency and multi-GNSS PPP-RTK. Satellite Navigation, 3(1), 7.
Li, Z., Wang, L., Wang, N., Li, R., & Liu, A. (2022c). Real-time GNSS precise point positioning with smartphones for vehicle navigation. Satellite Navigation, 3(1), 19.
Liu, Y., Xu, X., Liu, X., Zhang, T., Li, Y., Yao, Y., Yi-qing, Y., Liang, W., & Tong, J. (2016). A fast gradual fault detection method for underwater integrated navigation systems. The Journal of Navigation, 69(1), 93–112.
Lv, J., Gao, Z., Kan, J., Lan, R., Li, Y., Lou, Y., Yang, H., & Peng, J. (2022). Modeling and assessment of multi-frequency GPS/BDS-2/BDS-3 kinematic precise point positioning based on vehicle-borne data. Measurement, 189, 110453.
Paziewski, J. (2022). Multi-constellation single-frequency ionospheric-free precise point positioning with low-cost receivers. GPS Solutions, 26(1), 23.
Sanz, J., Juan, J., & Hernández-Pajares, M. (2013). GNSS data processing, Vol. I: Fundamentals and algorithms. ESA Communications, 14, 15.
Shinghal, G., & Bisnath, S. (2021). Conditioning and PPP processing of smartphone GNSS measurements in realistic environments. Satellite Navigation, 2, 1–17.
Wang, J. G. (2008). Test statistics in Kalman filtering. Positioning, 7, 81–90.
Wang, J. G. (2009). Reliability analysis in Kalman filtering. Journal of Global Positioning Systems, 8(1), 101–111.
Wang, Y., & Shen, J. (2020). Real-time integrity monitoring for a wide area precise positioning system. Satellite Navigation, 1(1), 1–10.
Wanninger, L. (1995). Improved ambiguity resolution by regional differential modelling of the ionosphere. In Proceedings of the 8th international technical meeting of the satellite division of the institute of navigation (ION GPS 1995) (pp. 55–62).
Yu, Z., Zhang, Q., Yu, K., & Zheng, N. (2021). A state-domain robust chi-square test method for GNSS/INS integrated navigation. Journal of Sensors, 2021, 1–8.
Zhu, Y., Cheng, X., & Wang, L. (2016). A novel fault detection method for an integrated navigation system using Gaussian process regression. The Journal of Navigation, 69(4), 905–919.
Zumberge, J. F., Heflin, M. B., Jefferson, D. C., Watkins, M. M., & Webb, F. H. (1997). Precise point positioning for the efficient and robust analysis of GPS data from large networks. Journal of Geophysical Research: Solid Earth, 102(B3), 5005–5017.