空间目标模糊平方根容积卡尔曼滤波定位算法

doi:10.16182/j.issn1004731x.joss.201804018

系统仿真学报 ›› 2018, Vol. 30 ›› Issue (4): 1361-1368.doi: 10.16182/j.issn1004731x.joss.201804018

空间目标模糊平方根容积卡尔曼滤波定位算法

林浩申, 杨晓君, 何兵

火箭军工程大学,陕西西安 710025

收稿日期:2016-05-25 修回日期:2016-07-22 出版日期:2018-04-08 发布日期:2019-01-04
通讯作者: 杨晓君(通讯作者1983-),男,博士,讲师,研究方向为无源定位技术。
作者简介:林浩申(1992-),男,湖北武汉,博士生,研究方向为目标跟踪和信息融合的研究、航天器轨道优化设计。
基金资助:
国家自然科学基金青年基金(61403399)

Spatial Target Localization Using Fuzzy Square-root Cubature Kalman Filter

Lin Haoshen, Yang Xiaojun, He Bing

Rocket Force University of Engineering, Xi’an 710025, China

Received:2016-05-25 Revised:2016-07-22 Online:2018-04-08 Published:2019-01-04

摘要/Abstract

摘要： 天基仅测角卫星定位问题属于强非线性滤波问题,复杂的空间环境所导致的噪声统计特性不确定,使得传统滤波算法精度降低。为提高跟踪精度,采用模糊梯形可能性分布代替精确高斯概率分布,对过程噪声和量测噪声进行描述,在平方根容积卡尔曼滤波（SCKF）的基础上,推导了模糊平方根容积卡尔曼滤波（FS-CKF）算法。克服了SCKF对高斯噪声特性精确已知的约束,有效拓展了CKF的应用范围。仿真比较了FS-CKF与SCKF在空间目标定位问题中的性能,仿真结果表明FS-CKF算法的位置、速度收敛时间分别提高了32.52%和18.28%,收敛精度分别提高了12.52%和42.65%,验证了算法的有效性。

关键词: 空间目标定位, 仅测角, 梯形隶属函数, 容积卡尔曼滤波

Abstract: The tracking of spatial target based on bearing-only measurements belongs to the nonlinear model of serious. Uncertain statistical characteristics of noise, which is caused by complex space environment, leads to reduced accuracy of traditional methods. The fuzzy square-root cubature Kalman filter was presented (FS-CKF) by introducing the thought of fuzzy in square-root cubature Kalman filter (SCKF). The algorithm which uses trapezoid subordinate function to describe noise gets rid of the limitations of traditional methods and broadens the range of SCKF. The result of simulation shows that the convergence speed of FS-CKF was 32.52% and 18.28% faster than SCKF on position and velocity respectively, and the accuracy of FS-CKF was 12.52% and 42.65% higher than SCKF on position and velocity respectively.

Key words: spatial target localization, bearing-only, trapezoid subordinate function, cubature Kalman filter

中图分类号:

V412.4

林浩申, 杨晓君, 何兵. 空间目标模糊平方根容积卡尔曼滤波定位算法[J]. 系统仿真学报, 2018, 30(4): 1361-1368.

Lin Haoshen, Yang Xiaojun, He Bing. Spatial Target Localization Using Fuzzy Square-root Cubature Kalman Filter[J]. Journal of System Simulation, 2018, 30(4): 1361-1368.

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空间目标模糊平方根容积卡尔曼滤波定位算法

Spatial Target Localization Using Fuzzy Square-root Cubature Kalman Filter

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