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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Cui X, Yang Y (2006) Adaptively robust filtering with classified adaptive factors. Proc Natl Acad Sci U S A 16(8):846–851
Koch KR, Yang Y (1998) Robust Kalman filter for rank deficient observation model. J Geophys Res 72(8):436–441
Mohamed AH, Schwarz KP (1999) Adaptive Kalman filtering for INS/GPS. J Geophys Res 73(4):193–203
Moore M, Wang J (2001) Adaptive dynamic modeling for kinematic positioning. IAG Assembly, Budapest
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
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
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)
Xu T, Yang Y (2000) Modified Sage adaptive filtering. Sci Surv Mapping 25:22–24
Yang Y (1991) Robust Bayesian estimation. Bull Geodesique 65:145–150
Yang Y (1997) Robust Kalman filter for dynamical system. J Zhengzhou Inst Surv Mapping 14(2):79–84 (In Chinese)
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)
Yang Y, Cui X (2008) Adaptively robust filter with multi adaptive factors. Surv Rev 40(309):260–270
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
Yang Y, Gao W (2006) An optimal adaptive Kalman filter. J Geophys Res 80:177–183
Yang Y, Xu T (2003) An adaptive Kalman filter based on Sage windowing weights and variance components. J Navigation 56(2):231–240
Yang Y, Cheng MK, Shum CK et al (1999) Robust estimation of systematic errors of satellite laser range. J Geodesy 73:345–349
Yang Y, He H, Xu G (2001a) Adaptively robust filtering for kinematic geodetic positioning. J Geophys Res 75(2):109–116
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
Yang Y, Cui X, Gao W (2004) Adaptive integrated navigation for multi-sensor adjustment outputs. J Navigation 57(2):287–285
Acknowledgments
The project is sponsored by Natural Science Foundations of China (Grant Nos. 41374019 and 41020144004 as well as National 863 project No. 2013AA122501).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-10828-5_15
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10827-8
Online ISBN: 978-3-319-10828-5
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)