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Navigation Integration Using the Fuzzy Strong Tracking Unscented Kalman Filter

Published online by Cambridge University Press:  12 March 2009

Dah-Jing Jwo*
Affiliation:
(Department of Communications, Navigation and Control Engineering, National Taiwan Ocean University)
Shih-Yao Lai
Affiliation:
(Department of Communications, Navigation and Control Engineering, National Taiwan Ocean University)

Abstract

A navigation integration processing scheme, called the strong tracking unscented Kalman filter (STUKF), is based on the combination of an unscented Kalman filter (UKF) and a strong tracking filter (STF). The UKF employs a set of sigma points by deterministic sampling, such that the linearization process is not necessary, and therefore the error caused by linearization as in the traditional extended Kalman filter (EKF) can be avoided. As a type of adaptive filter, the STF is essentially a nonlinear smoother algorithm that employs suboptimal multiple fading factors, in which the softening factors are involved. In order to resolve the shortcoming in traditional approach for selecting the softening factor through personal experience or computer simulation, a novel scheme called the fuzzy strong tracking unscented Kalman filter (FSTUKF) is presented where the Fuzzy Logic Adaptive System (FLAS) is incorporated for determining the softening factor. The proposed FSTUKF algorithm shows promising results in estimation accuracy when applied to the integrated navigation system design, as compared to the EKF, UKF and STUKF approaches.

Type
Research Article
Copyright
Copyright © The Royal Institute of Navigation 2009

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References

REFERENCES

Brown, R., and Hwang, P. (1997). Introduction to Random Signals and Applied Kalman Filtering. John Wiley & Sons, New York.Google Scholar
Ding, W., Wang, J., and Rizos, C. (2007). Improving Adaptive Kalman Estimation in GPS/INS Integration. The Journal of Navigation, 60, 517529.CrossRefGoogle Scholar
Farrell, J., Barth, M. (1999). The Global Positioning System and Inertial Navigation, McCraw-Hill professional.Google Scholar
Gelb, A. (1974). Applied Optimal Estimation. M. I. T. Press, MA.Google Scholar
Hide, C, Moore, T., and Smith, M. (2003). Adaptive Kalman filtering for low cost INS/GPS, The Journal of Navigation, 56, 143152.CrossRefGoogle Scholar
Julier, S. J. (2002). The scaled unscented transformation, in: Proceedings of the American Control Conference, Anchorage, USA, 45554559.CrossRefGoogle Scholar
Julier, S. J., Uhlmann, JK, Durrant-whyte, H. F. (1995). A new approach for filtering nonlinear system, in: Proceeding of the American Control Conference, 16281632.Google Scholar
Julier, S. J., Uhlmann, JK, Durrant-whyte, HF (2000). A new method for the nonlinear transformation of means and covariances in filters and estimators, IEEE Transactions on Automatic Control, 5(3) 477482.CrossRefGoogle Scholar
Julier, S. J., Uhlmann, J. K. (2002). Reduced sigma point filters for the propagation of means and covariances through nonlinear transformations, in: Proceeding of the American Control Conference, 887892.CrossRefGoogle Scholar
Li, Y, Wang, J., Rizos, C, Mumford, P. J., Ding, W. (2006). Low-cost tightly coupled GPS/INS integration based on a nonlinear Kalman filter design, in: Proceedings of the U.S. Institute of Navigation National Tech. Meeting, 958966.Google Scholar
Mehra, R. K. (1972). Approaches to adaptive filtering, IEEE Trans. Automat. Contr., AC-17, 693698.CrossRefGoogle Scholar
Mohamed, A. H. and Schwarz, K. P. (1999). Adaptive Kalman filtering for INS/GPS, Journal of Geodesy, 73, 193203.CrossRefGoogle Scholar
Salychev, O. (1998). Inertial Systems in Navigation and Geophysics, Bauman MSTU Press, Moscow.Google Scholar
Sasiadek, J. Z., Wang, Q., Zeremba, M. B. (2000). Fuzzy Adaptive Kalman filtering for INS/GPS data fusion, in: Proc. 15 thIEEE int. Symp. on intelligent control, Rio, Patras, Greece, 181186.CrossRefGoogle Scholar
Simon, D., (2006). Optimal State Estimation, Kalman, H∞, and nonlinear approaches, John Wiley & Sons, New York.CrossRefGoogle Scholar
Takagi, T., Sugeno, M. (1985). Fuzzy identification of systems and its application to modelling and control, IEEE Trans. Syst., Man, Cybern., vol. SMC-15, no.1, 116132.CrossRefGoogle Scholar
Wan, E. A., van der Merwe, R. (2000). The unscented Kalman filter for nonlinear estimation, in: Proceedings of Adaptive Systems for Signal Processing, Communication and Control (AS-SPCC) Symposium, Alberta, Canada, 153156.Google Scholar
Wan, E. A., van der Merwe, R. (2001). The Unscented Kalman Filter, in: Simon, Haykin (Ed.), Kalman Filtering and Neural Networks, Wiley, (Chapter 7).Google Scholar
Xia, Q., Rao, M., Ying, Y., and Shen, X. (1994). Adaptive fading Kalman filter with an application, Automatica, 30, 13331338.CrossRefGoogle Scholar
Zhou, D. H., Frank, P. M. (1996). Strong tracking Kalman filtering of nonlinear time-varying stochastic systems with coloured noise: application to parameter estimation and empirical robustness analysis, Int. J control, 65, 295307.CrossRefGoogle Scholar