Risk Sensitive Unscented Particle Filter for Bearing and Frequency Tracking

  • Peng Li
  • Shenmin Song
  • Xinglin Chen
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 67)

Abstract

Robust filter based on risk sensitive estimator is derived to estimate the state of the uncertain models, while the estimation error involves two terms, the first term coincides with the minimum value of the risk sensitive cost function, the second one is the distance between the true and design probability models. The proposed algorithm, which introduces risk sensitive estimator into the unscented particle filter, could automatically change the state noise covariance according to the magnitude of the risk function. As a result, sample impoverishment could be mitigated. In the simulation of submarine bearing and frequency tracking, the performance of the new algorithm is compared with the unscented kalman filter and the unscented particle filter. Simulation results show that the new algorithm performs better than the two others.

Keywords

unscented particle filter risk sensitive estimator error bound 

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References

  1. 1.
    Whittle, P.: Risk Sensitive Optimal Control. Wiley, New York (1990)MATHGoogle Scholar
  2. 2.
    James, M.R., Elliott, R.J.: Risk-Sensitive and Risk Neutral Control for Continuous-Time Hidden Markov Models. Journal of Applied Mathematics and Optimization 34(1), 37–50 (1996)MATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Dey, S., Moore, J.B.: Risk-sensitive filtering and smoothing via reference probability methods. In: Proceedings of the American control conference, Seattle, Washington, USA (1995)Google Scholar
  4. 4.
    Dey, S., Moore, J.B.: Risk sensitive filtering and smoothing via reference probability methods. IEEE Transactions on Automatic Control 42(11), 1587–1591 (1997)MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Thrun, S., Langford, J., Verma, V.: Risk sensitive particle filters. In: Advances in Neural Information Processing Systems 14. MIT Press, Cambridge (2002)Google Scholar
  6. 6.
    Bhaumik, S., Ghoshal, T., Sadhu, S.: Alternative formulation of risk-sensitive particle filter (posterior). In: Proc. IEEE Indicon 2006, pp. 1–4 (2006)Google Scholar
  7. 7.
    Speyer, J.L., Fan, C., Banavar, R.N.: Optimal stochastic estimation with exponential cost criteria. In: Proc. 31st Conf. Decision Control, vol. 2, pp. 2293–2298 (1992)Google Scholar
  8. 8.
    Moore, J.B., Elliott, R.J., Dey, S.: Risk-sensitive generalizations of minimum variance estimation and control. J. Math. Syst. Estimat. Control 7(1), 1–15 (1997)MathSciNetGoogle Scholar
  9. 9.
    Gordon, N., Salmond, D., Ewing, C.: Bayesian State Estimation for Tracking and Guidance Using the Bootstrap Filter. Journal of Guidance, Control and Dynamics 18(6) (1995)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Peng Li
    • 1
  • Shenmin Song
    • 1
  • Xinglin Chen
    • 1
  1. 1.School of AstronauticHarbin Institute of TechnologyHarbinChina

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