Improved particle filter based on ensemble Kalman filter

被引:1
|
作者
Du H.-Y. [1 ]
Hao Y.-L. [1 ]
Zhao Y.-X. [1 ]
机构
[1] College of Automation, Harbin Engineering University
关键词
Ensemble Kalman filter (EnKF); Nonlinear system; Particle filter; Proposal distribution function;
D O I
10.3969/j.issn.1001-506X.2011.07.42
中图分类号
学科分类号
摘要
An improved particle filter based on the ensemble Kalman filter (EnKF) is described. The EnKF is used to propagate the particle's proposal distribution of particle filter in every time step. Because the EnKF can attain a maximum posterior estimation of the nonlinear system, and the proposal distribution function integrates the latest observation into system state transition density, so the proposal distribution can approximate the true posterior distribution more accurately. This new algorithm uses sample ensembles to approximate the nonliner proposal distribution, and the number of ensembles required in the EnKF is flexible. In this way, the accuracy and efficiency of the algorithm is improved. The simulation results reflect that the novel particle filter is superior to the standard particle filter, the extended Kalman particle filter and the unscented particle filter.
引用
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页码:1653 / 1657
页数:4
相关论文
共 17 条
  • [1] Anderson B.D., Moore J.B., Optimal Filtering, (1979)
  • [2] Julier S.J., Uhlmann J.K., Unscented filtering and nonlinear estimation, Proceeding of the IEEE, 92, 3, pp. 401-422, (2004)
  • [3] Norgaard M., Poulsen N.K., Ravn O., New developments in state estimations for nonlinear systems, Atomatica, 36, 11, pp. 1627-1638, (2000)
  • [4] Ito K., Xiong K., Gaussian filters for nonlinear filtering problems, IEEE Trans. on Automatic Control, 45, 5, pp. 910-927, (2000)
  • [5] Chen Z., Bayesian filtering: From Kalman filters to particle filters, and beyond, (2003)
  • [6] Arulampalam M.S., Maskell S., Gordon N., Et al., A tutorial on particle filters for online nonlinear/non-gaussian bayesian tracking, IEEE Trans. on Signal Processing, 50, 2, pp. 174-188, (2002)
  • [7] Handschin J.E., Mayne D.Q., Monte Carlo techniques to estiate the conditional expectation in multi-stage non-linear filtering, International Journal Control, 9, 5, pp. 547-559, (1968)
  • [8] Doucet A., Godsill S., Andrieu C., On sequential Monte Carlo methods for Bayesian filtering, Statistics and Computing, 10, 3, pp. 197-208, (2000)
  • [9] Merwe R.V., Doucet A., The unscented particle filter
  • [10] Evensen G., Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics, Geophys, 99, C5, (1994)