Square-Root Recursive Update Gaussian Particle Filter

被引:0
|
作者
Liang Z.-B. [1 ]
Liu F.-X. [1 ]
Zhao H.-Z. [1 ]
机构
[1] Air and Missile Defense College, Air Force Engineering University, Xi'an
关键词
Gaussian particle filter; Importance density function; Nonlinear measurements; Recursive update; Square-root;
D O I
10.3969/j.issn.1001-0548.2019.03.006
中图分类号
学科分类号
摘要
For the construction of importance density function (IDF) of Gaussian particle filter, recursive update Gaussian filter (RUGF) which can effectively overcome the limitation of linear minimum mean square error criterion, updates the target state incrementally based on the gradient of nonlinear measurement function. Consequently, the posterior state estimation that is closer to the real distribution is obtained, but non-positive definite state covariance matrix will lead to recursive interruption. To solve this problem, the square-root implementation strategy of RUGF is firstly analyzed and then square-root recursive update Gaussian filter (SR-RUGF) is implemented by using cubature Kalman filter. Based on that, SR-RUGF is used to construct IDF for Gaussian particle filter. Simulation results demonstrate that the proposed algorithm can effectively solve the recursive interruption problem and obtain estimation result with higher accuracy. © 2019, Editorial Board of Journal of the University of Electronic Science and Technology of China. All right reserved.
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页码:345 / 350and373
相关论文
共 11 条
  • [1] Yang X.-J., Pan Q., Wang R., Et al., Development and prospect of particle filtering, Control Theory & Application, 23, 2, pp. 261-267, (2006)
  • [2] Cappe O., Godsill S.J., Moulines E., An overview of existing methods and recent advances in sequential Monte Carlo, Proceedings of the IEEE, 95, 5, pp. 899-924, (2007)
  • [3] Li T.-C., Fan H.-Q., Sun S.-D., Particle filtering: Theory, approach, and application for multitarget tracking, Acta Automatica Sinica, 41, 12, pp. 1981-2002, (2015)
  • [4] Kotecha J.H., Djuric P.M., Gaussian particle filtering, IEEE Transactions on Signal Processing, 51, 10, pp. 2592-2601, (2003)
  • [5] Djuric P.M., Kotecha J.H., Zhang J.Q., Et al., Particle filtering, IEEE Signal Processing Magazine, 20, 5, pp. 19-38, (2003)
  • [6] Movaghati S., Moghaddamjoo A., Tavakoli A., Road extraction from satellite images using particle filtering and extended Kalman filtering, IEEE Transactions on Geoscience and Remote Sensing, 48, 7, pp. 2807-2817, (2010)
  • [7] Zuo J.Y., Jia Y.N., Gao Q.X., Simplified unscented particle filter for nonlinear/non-Gaussian Bayesian estimation, Journal of Systems Engineering and Electronics, 24, 3, pp. 537-544, (2013)
  • [8] Lu C.G., Feng X.X., Lei Y., Et al., A novel particle filter for nonlinear non-Gaussian estimation, Proceedings of 3rd International Workshop on Intelligent Systems and Applications, pp. 1-5, (2011)
  • [9] Zaneti R., Recursive update filtering for nonlinear estimation, IEEE Transactions on Automatic Control, 57, 6, pp. 1481-1490, (2012)
  • [10] Zhang Y.-G., Wang G., Huang Y.-L., Et al., Recursive update Gaussian particle filter, Control Theory & Application, 33, 3, pp. 353-360, (2016)