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基于拟平均根数之差的航天器相对导航UKF滤波算法
引用本文:王功波,郑伟,汤国建.基于拟平均根数之差的航天器相对导航UKF滤波算法[J].宇航学报,2011,32(5).
作者姓名:王功波  郑伟  汤国建
作者单位:国防科技大学航天与材料工程学院,长沙,410073
摘    要:针对星载雷达数据(距离及其变率、角度及其变率),推导了以相对拟平均根数为状态变量的星间相对导航UKF滤波算法.建立了包含J2一阶长期项摄动的状态转移方程.推导了无奇点的相对拟平均根数与相对位置速度之间的转换矩阵,并分析了坐标变换中被忽略的二阶项的影响,对转换矩阵的精度进行了有效补偿.提出以相对位置速度为直接观测量,设计了具有自调整功能的测量误差协方差阵,避免了建立观测方程时状态量对直接观测量的繁琐偏导计算.仿真结果证明了该算法的有效性.

关 键 词:相对拟平均根数  星载雷达  相对导航  J2摄动  UKF

Application of UKF in Spacecraft Relative Navigation Based on Quasi-Mean Element Differnces
WANG Gong-bo,ZHENG Wei,TANG Guo-jian.Application of UKF in Spacecraft Relative Navigation Based on Quasi-Mean Element Differnces[J].Journal of Astronautics,2011,32(5).
Authors:WANG Gong-bo  ZHENG Wei  TANG Guo-jian
Institution:WANG Gong-bo,ZHENG Wei,TANG Guo-jian(College of Aerospace and Material Engineering,National University of Defense Technology,Changsha 410073,China)
Abstract:A spacecraft relative navigation Unscented Kalman Filter(UKF) algorithm is presented in this paper,in which the desired orbit is prescribed in terms of quasi-mean element differences.This stategy is designed for spaceborne radar which can provide measurements including range,range rate,angle and angle rate.Taking the quasi-mean element differences as state variables the state transform equation is established with the J2 perturbation considered.The transformation matrix between local Cartesian coordinates a...
Keywords:Quasi-mean element difference  Spaceborne radar  Relative navigation  J2 perturbation  UKF  
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