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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4681))

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Abstract

The extended Kalman Filter (EKF) is an important method for eliminating stochastic errors of dynamic position in the Global Positioning System (GPS). One of the adaptive methods is called the adaptive fading Kalman filter (AFKF), which employs suboptimal fading factors for solving the divergence problem in an EKF. Incorporation of a scaling factor has been proposed for tuning the fading factors so as to improve the tracking capability. A novel scheme called the fuzzy adaptive fading Kalman filter (FAFKF) is proposed. In the FAFKF, the fuzzy logic reasoning system is incorporated into the AFKF. By monitoring the degree of divergence (DOD) parameters based on the innovation information, the fuzzy logic adaptive system (FLAS) is designed for dynamically adjusting the scaling factor according to the change in vehicle dynamics. GPS navigation processing using the FAFKF will be simulated to validate the effectiveness of the proposed strategy.

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References

  1. Gelb, A.: Applied Optimal Estimation. MIT Press, MA (1974)

    Google Scholar 

  2. Brown, R.G., Hwang, P.Y.C.: Introduction to Random Signals and Applied Kalman Filtering, 3rd edn. John Wiley & Sons, New York (1997)

    MATH  Google Scholar 

  3. Axelrad, P., Brown, R.G.: GPS Navigation Algorithms (Chap. 9). In: Parkinson, B.W., Spilker, J.J., Axelrad, P., Enga, P. (eds.) Global Positioning System: Theory and Applications, vol. I, AIAA, Washington DC (1996)

    Google Scholar 

  4. Mehra, R.K.: Approaches to Adaptive Filtering. IEEE Trans. Automat. Contr. AC-17, 693–698 (1972)

    Article  Google Scholar 

  5. Mohamed, A.H., Schwarz, K.P.: Adaptive Kalman Filtering for INS/GPS. Journal of Geodesy 73(4), 193–203 (1999)

    Article  MATH  Google Scholar 

  6. Xia, Q., Rao, M., Ying, Y., Shen, X.: Adaptive Fading Kalman Filter with an Application. Automatica 30(8), 1333–1338 (1994)

    Article  Google Scholar 

  7. Kwang, H.-K., Lee, J.-G., Park, C.-G.: Adaptive Two-Stage EKF for INS-GPS Loosely Coupled System with Unknown Fault Bias. Journal of Global Positioning System 5(1-2), 62–69 (2006)

    Google Scholar 

  8. Sasiadek, J.Z., Wang, Q., Zeremba, M.B.: Fuzzy Adaptive Kalman Filtering for INS/GPS data fusion. In: Proc. 15th IEEE Int. Symp. on Intelligent Control, Rio, Patras Greece, pp. 181–186 (2000)

    Google Scholar 

  9. Abdelnour, G., Chand, S., Chiu, S.: Applying Fuzzy Logic to the Kalman Filter Divergence Problem. In: Proc. IEEE Int. Conf. on Syst., Man and Cybernetics, Le Touquet France, pp. 630–634 (1993)

    Google Scholar 

  10. Kobayashi, K., Cheok, K., Watanabe, K.: Estimation of the Absolute Vehicle Speed Using Fuzzy Logic Rule-Based Kalman Filter. In: Proc. American Control Conf., Seattle, pp. 3086–3090 (1995)

    Google Scholar 

  11. Mostov, K., Soloviev, A.: Fuzzy Adaptive Stabilization of Higher Order Kalman Filters in Application to Precision Kinematic GPS. Proc. ION GPS-96 2, 1451–1456 (1996)

    Google Scholar 

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De-Shuang Huang Laurent Heutte Marco Loog

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© 2007 Springer Berlin Heidelberg

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Jwo, DJ., Chang, FI. (2007). A Fuzzy Adaptive Fading Kalman Filter for GPS Navigation. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues. ICIC 2007. Lecture Notes in Computer Science, vol 4681. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74171-8_82

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  • DOI: https://doi.org/10.1007/978-3-540-74171-8_82

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74170-1

  • Online ISBN: 978-3-540-74171-8

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