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An Adaptive Robust Student’s t-Based Kalman Filter Based on Multi-sensor Fusion

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 13456))

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Abstract

In practical applications, Kalman filter and its variants such as UKF may suffer from the time-varying measurement noise and process-error. Especially, when the process-error is heavy-tailed probability distribution, the Gaussian assumption would be no longer as accurately as expected. Aiming at the time-varying measurement noise and the situation with heavy-tailed process-error problems, in this paper, a new algorithm is proposed based on Student’s t-distribution and multi-sensor information fusion. The robustness of the proposed algorithm is guaranteed by the timely estimation of the measurement noise, and the adaptiveness is realized by replacing the Gaussian by the Student’s t-distribution. The Kullback-Leible Divergence (KLD) is used as the criterion for distinguishing the Gaussian distribution from the Student’s t-distribution. Finally, a challenging target tracking example is presented and the simulation results show that the proposed algorithm achieves a higher accuracy than the other algorithms.

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References

  1. Bar-Shalom, X.: Estimation with Applications to Tracking and Navigation. Wiley, New York (2001)

    Book  Google Scholar 

  2. Huang, Y., Zhang, Y., Wu, Z., Li, N., Chambers, J.: A novel robust student’s t-based Kalman filter. IEEE Trans. Aerosp. Electron. Syst. 1 (2017). https://doi.org/10.1109/TAES.2017.2651684

  3. Wang, J., Zhang, T., Jin, B., Zhu, Y., Tong, J.: Student’s t-based robust Kalman filter for A SINS/USBL integration navigation strategy. IEEE Sens. J. 1 (2020). https://doi.org/10.1109/JSEN.2020.2970766

  4. Jia, G., Huang, Y., Bai, M., Zhang, Y.: A novel robust Kalman filter with non-stationary heavy-tailed measurement noise. IFAC-PapersOnLine 53, 368–373 (2020). https://doi.org/10.1016/j.ifacol.2020.12.188

    Article  Google Scholar 

  5. Wang, D., Zhang, H., Ge, B.: Adaptive unscented Kalman filter for target tacking with time-varying noise covariance based on multi-sensor information fusion. Sensors 21, 5808 (2021)

    Article  Google Scholar 

  6. Li, Z., Zhang, H., Zhou, Q., Che, H.: An adaptive low-cost INS/GNSS tightly-coupled integration architecture based on redundant measurement noise covariance estimation. Sensors 17, 2032 (2017). https://doi.org/10.3390/s17092032

  7. Sun, S., Deng, Z.: Multi-sensor optimal information fusion Kalman filter. Automatica 40, 1017–1023 (2004)

    Article  MathSciNet  Google Scholar 

  8. Julier, S., Uhlmann, J.: A General Method for Approximating Nonlinear Transformations of Probability Distributions. http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.46.6718. Accessed 04 May 2022

  9. Bishop, C.M. (ed.): Pattern Recognition and Machine Learning. ISS, Springer, New York (2006). https://doi.org/10.1007/978-0-387-45528-0

    Book  MATH  Google Scholar 

  10. Roth, M., Ozkan, E., Gustafsson, F.: A student’s t filter for heavy tailed process and measurement noise. In: Acoustics, Speech, and Signal Processing 1988. ICASSP 1988, pp. 5770–5774 (1988)

    Google Scholar 

  11. Zhao, Y., Liu, J., Zhou, K., Xu, Q.: An improved TCN-based network combining RLS for bearings-only target tracking. In: Liu, X.-J., Nie, Z., Yu, J., Xie, F., Song, R. (eds.) ICIRA 2021. LNCS (LNAI), vol. 13014, pp. 133–141. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-89098-8_13

    Chapter  Google Scholar 

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Acknowledgements

This work is supported by the National Key Research and Development Program of China (2017YFC0821102, 2016YFB0502004).

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Correspondence to Hai Zhang .

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Wang, D., Zhang, H., Huang, H. (2022). An Adaptive Robust Student’s t-Based Kalman Filter Based on Multi-sensor Fusion. In: Liu, H., et al. Intelligent Robotics and Applications. ICIRA 2022. Lecture Notes in Computer Science(), vol 13456. Springer, Cham. https://doi.org/10.1007/978-3-031-13822-5_54

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  • DOI: https://doi.org/10.1007/978-3-031-13822-5_54

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-13821-8

  • Online ISBN: 978-3-031-13822-5

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