Tracking a Moving Target in 2D Using a Particle Filter Based on Innovative Adaptive Estimation

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CONTROLO 2022 (CONTROLO 2022)

Abstract

In this work, a particle filter based on innovative adaptive estimation for tracking a moving target in 2D is proposed. Aiming to mitigate the uncertainty or lack of knowledge of the process and measurement noise covariance matrices, the particle filter is allied to an innovative adaptive estimation. For such purpose, the difference between the theoretical and measured innovation covariances is defined as an approximation that uses the average of a moving estimation window for the innovation sequence calculus. This difference is computed continuously, using innovative adaptive estimation based on the maximum likelihood theory to dynamically adjust the covariances of the particle filter. To illustrate the efficiency and applicability of the proposed filter, simulations are carried out for estimating the state of a moving target considering different scenarios. The simulation results show that the proposed filter performs well in terms of robustness compared to extended Kalman filter and classic particle filter. It is shown that, although the simultaneous adaptation of noise covariance matrices can generate instability in some cases, more accurate estimates can be obtained in others.

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References

  1. Patel, H.A., Thakore, D.G.: Moving object tracking using Kalman filter. IJCSMC 2(4), 326–332 (2013)

    Google Scholar 

  2. Gustafsson, F., et al.: Particle filters for positioning, navigation, and tracking. IEEE Trans. Sig. Process. 50(2), 425–437 (2002)

    Article  Google Scholar 

  3. Kim, P.S.: An alternative state estimation filtering algorithm for temporarily uncertain continuous time system. J. Inf. Process. Syst. 16(3), 588–598 (2020)

    Google Scholar 

  4. Kalman, R.E.: A new approach to linear filtering and prediction problems. J. Basic Eng. 82(1), 35–45 (1960)

    Article  MathSciNet  Google Scholar 

  5. Gordon, N,J., Salmond, D.J., Smith, A.F.M.: Novel approach to nonlinear/non-Gaussian Bayesian state estimation (1993)

    Google Scholar 

  6. Godsill, S.: Particle filtering: the first 25 years and beyond. In: ICASSP. IEEE (2019)

    Google Scholar 

  7. Simon, D.: Optimal State Estimation: Kalman, H\(_\infty \), and Nonlinear Approaches. Wiley-Interscience, Hoboken (2006)

    Book  Google Scholar 

  8. Deilamsalehy, H., Havens, T.C.: Fuzzy adaptive extended Kalman filter for robot 3D pose estimation. Int. J. Intell. Unmanned Syst. 6, 50–68 (2018). https://doi.org/10.1108/IJIUS-12-2017-0014

  9. Mohamed, A.H., Schwarz, K.P.: Adaptive Kalman filtering for INS/GPS. J. Geodesy 73(4), 193–203 (1999). https://doi.org/10.1007/s001900050236

    Article  MATH  Google Scholar 

  10. Özkan, E., Smídl, V., Saha, S., Lundquist, C., Gustafsson, F.: Marginalized adaptive particle filtering for nonlinear models with unknown time-varying noise parameters. Automatica 49(6), 1566–1575 (2013)

    Article  MathSciNet  Google Scholar 

  11. Woo, R., Yang, E.-J., Seo, D.-W.: A fuzzy-innovation-based adaptive Kalman filter for enhanced vehicle positioning in dense urban environments. Sensors 19(5), 1142 (2019)

    Article  Google Scholar 

  12. Hue, C., Le Cadre, J.-P., Perez, P.: Tracking multiple objects with particle filtering. IEEE Trans. Aerosp. Electron. Syst. 38(3), 791–812 (2002)

    Article  Google Scholar 

  13. Boers, Y., Driessen, J.N.: Particle filter based detection for tracking. In: Proceedings of the American Control Conference (2001)

    Google Scholar 

  14. Kay, S.M.: Fundamentals of Statistical Signal Processing. Prentice Hall, Upper Saddle River (1993)

    MATH  Google Scholar 

  15. Chen, C.-T.: Linear System Theory and Design, 3rd edn. Oxford University Press, New York (1999)

    Google Scholar 

  16. Tseng, C.-H., Chang, C.-W., Jwo, D.-J.: Fuzzy adaptive interacting multiple model nonlinear filter for integrated navigation sensor fusion. Sensors 11(2), 2090–2111 (2011)

    Article  Google Scholar 

  17. Brown, R.G., Hwang, P.Y.C.: Introduction to Random Signals and Applied Kalman Filtering with Matlab Exercises. CourseSmart Series, Wiley, New York (2012)

    MATH  Google Scholar 

  18. Fraser, C.T., Ulrich, S.: Adaptive extended Kalman filtering strategies for spacecraft formation relative navigation. Acta Astronaut. 178, 700–721 (2021)

    Article  Google Scholar 

  19. Thrun, S., Burgard, W., Fox, D.: Probabilistic Robotics. The MIT Press, Cambridge (2005)

    MATH  Google Scholar 

  20. Goddard, P.: Using an Extended Kalman Filter for Object Tracking in Simulink. http://www.goddardconsulting.ca/simulink-extended-kalman-filter-tracking.html

  21. Siciliano, B., Sciavicco, L., Villani, L., Oriolo, G.: Robotics: Modelling, Planning and Control, 1st edn. Springer, London (2009). https://doi.org/10.1007/978-1-84628-642-1

    Book  Google Scholar 

  22. Bakibillah, A.S.M., Tan, Y.H., Loo, J.Y., Tan, C.P., Kamal, M.A.S., Pu, Z.: Robust estimation of traffic density with missing data using an adaptive-R extended Kalman filter. Appl. Math. Comput. 421, 126915 (2022)

    Google Scholar 

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Correspondence to Francisco das Chagas de Souza .

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Pinheiro, C.M., Serrepe Ranno, M.M., das Chagas de Souza, F. (2022). Tracking a Moving Target in 2D Using a Particle Filter Based on Innovative Adaptive Estimation. In: Brito Palma, L., Neves-Silva, R., Gomes, L. (eds) CONTROLO 2022. CONTROLO 2022. Lecture Notes in Electrical Engineering, vol 930. Springer, Cham. https://doi.org/10.1007/978-3-031-10047-5_56

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