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Principles and Comparisons of Various Adaptively Robust Filters with Applications in Geodetic Positioning

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The 1st International Workshop on the Quality of Geodetic Observation and Monitoring Systems (QuGOMS'11)

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 140))

Abstract

The quality of kinematic positioning and navigation depends on the quality of the kinematic model describing the vehicle movements and the reliability of the measurements. A series of adaptive Kalman filters have been studied in recent years. The main principles of four kinds of adaptive filters are summarized, i.e. fading Kalman filter, adaptive Sage windowing filter, robust filter and adaptively robust filter. Some of the developed equivalent weight functions and the adaptive factors including the fading factors are also introduced. Some applications are mentioned.

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References

  • Cui X, Yang Y (2006) Adaptively robust filtering with classified adaptive factors. Proc Natl Acad Sci U S A 16(8):846–851

    Google Scholar 

  • Koch KR, Yang Y (1998) Robust Kalman filter for rank deficient observation model. J Geophys Res 72(8):436–441

    Google Scholar 

  • Mohamed AH, Schwarz KP (1999) Adaptive Kalman filtering for INS/GPS. J Geophys Res 73(4):193–203

    Google Scholar 

  • Moore M, Wang J (2001) Adaptive dynamic modeling for kinematic positioning. IAG Assembly, Budapest

    Google Scholar 

  • Ou J, Chai Y, Yuan Y (2004) Adaptive filter for kinematic positioning by selection of the parameter weights. In: Progress in geodesy and geodynamics, Hubei Science & Technology Press, pp 816–823

    Google Scholar 

  • Ren C, Ou J, Yuan Y (2005) Application of adaptive filtering by selecting the parameter weight factor in precise kinematic GPS positioning. Proc Natl Acad Sci U S A 15(1):41–46

    Google Scholar 

  • Xia Q, Sun Y, Zhou C (1990) An optimal adaptive algorithm for fading Kalman filter and its application. Acta Automatic Sinica 16(3):210–216 (in Chinese)

    Google Scholar 

  • Xu T, Yang Y (2000) Modified Sage adaptive filtering. Sci Surv Mapping 25:22–24

    Google Scholar 

  • Yang Y (1991) Robust Bayesian estimation. Bull Geodesique 65:145–150

    Article  Google Scholar 

  • Yang Y (1997) Robust Kalman filter for dynamical system. J Zhengzhou Inst Surv Mapping 14(2):79–84 (In Chinese)

    Google Scholar 

  • Yang Y (1999) The basis in theory and comparisons of various robust filter models. In: Collection papers of geodesy, Surveying and Mapping Press, Beijing, pp 51–57 (in Chinese)

    Google Scholar 

  • Yang Y, Cui X (2008) Adaptively robust filter with multi adaptive factors. Surv Rev 40(309):260–270

    Article  Google Scholar 

  • Yang Y, Gao W (2004) Integrated navigation by using variance component estimates of multi-sensor measurements and adaptive weights of kinematic model information. In: Selected Papers for English Edition, Acta Geodaetica et Cartographica Sinica, pp 8–13

    Google Scholar 

  • Yang Y, Gao W (2006) An optimal adaptive Kalman filter. J Geophys Res 80:177–183

    Google Scholar 

  • Yang Y, Xu T (2003) An adaptive Kalman filter based on Sage windowing weights and variance components. J Navigation 56(2):231–240

    Article  Google Scholar 

  • Yang Y, Cheng MK, Shum CK et al (1999) Robust estimation of systematic errors of satellite laser range. J Geodesy 73:345–349

    Article  Google Scholar 

  • Yang Y, He H, Xu G (2001a) Adaptively robust filtering for kinematic geodetic positioning. J Geophys Res 75(2):109–116

    Google Scholar 

  • Yang Y, Xu T, He H (2001b). On adaptively kinematic filtering. In: Selected Papers for English of Acta Geodetica et Cartographica Sinica, pp 25–32

    Google Scholar 

  • Yang Y, Cui X, Gao W (2004) Adaptive integrated navigation for multi-sensor adjustment outputs. J Navigation 57(2):287–285

    Article  Google Scholar 

Download references

Acknowledgments

The project is sponsored by Natural Science Foundations of China (Grant Nos. 41374019 and 41020144004 as well as National 863 project No. 2013AA122501).

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Correspondence to Yuanxi Yang .

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Yang, Y., Xu, T., Xu, J. (2015). Principles and Comparisons of Various Adaptively Robust Filters with Applications in Geodetic Positioning. In: Kutterer, H., Seitz, F., Alkhatib, H., Schmidt, M. (eds) The 1st International Workshop on the Quality of Geodetic Observation and Monitoring Systems (QuGOMS'11). International Association of Geodesy Symposia, vol 140. Springer, Cham. https://doi.org/10.1007/978-3-319-10828-5_15

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