High-degree spherical simplex-radial cubature quadrature Kalman filter

被引:0
|
作者
Li Z.-M. [1 ]
Yang W.-G. [2 ]
Ding D. [2 ]
Liao Y.-R. [2 ]
机构
[1] Graduate School, Equipment Academy, Beijing
[2] Department of Optical and Electrical Equipment, Equipment Academy, Beijing
来源
| 1600年 / Editorial Board of Journal on Communications卷 / 38期
基金
国家高技术研究发展计划(863计划);
关键词
Cubature Kalman filter; Gauss-Laguerre quadrature; Nonlinear; Spherical simplex;
D O I
10.11959/j.issn.1000-436x.2017169
中图分类号
学科分类号
摘要
A high-degree spherical simplex-radial cubature quadrature Kalman filter (HDSSRCQKF) was proposed to improve the estimation accuracy of nonlinear Kalman filter. The nonlinear Gaussian weighted integral was decomposed into the spherical integral and radial integral. These two integrals were calculated using the seventh-degree spherical simplex rule and the high-degree Gauss-Laguerre quadrature rule, respectively, and result in the high-degree spherical simplex-radial cubature quadrature rule, from which the general computing method of the cubature points and corresponding weights were obtained. And then, the HDSSRCQKF was achieved under the nonlinear Kalman filtering framework using the above method. The numerical simulation results indicate that HDSSRCQKF has a higher accuracy compared to the existed high-degree cubature Kalman filter, that verifies the effectiveness of the proposed algorithm. © 2017, Editorial Board of Journal on Communications. All right reserved.
引用
收藏
页码:111 / 117
页数:6
相关论文
共 16 条
  • [11] Shovan B., Swati, Square-root cubature quadrature Kalman filter, Asian Journal of Control, 16, 2, pp. 617-622, (2014)
  • [12] Jia B., Xin M., Cheng Y., High-degree cubature Kalman filter, Automatica, 49, 5, pp. 510-518, (2012)
  • [13] Zhang W.J., Wang S.Y., Feng Y.L., Et al., Huber-based high-degree cubature Kalman tracking algorithm, Acta Physica Sinica, 65, 8, pp. 354-362, (2016)
  • [14] Wang S.Y., Feng J.C., Chi K.T., Spherical simplex-radial cubature Kalman filter, IEEE Signal Processing Letters, 21, 1, pp. 43-46, (2014)
  • [15] Zhang Y.G., Huang Y.L., Wu Z.M., Et al., Seventh-degree spherical simplex-radial cubature Kalman filter, The 33th Chinese Control Conference, pp. 2513-2517, (2014)
  • [16] Abhinoy K.S., Shovan B., Higher degree cubature quadrature Kalman filter, International Journal of Control, Automation, and Systems, 13, 5, pp. 1097-1105, (2015)