Application of UKF/KF in Single-axial Rotation Initial alignment

Jianguo Xu, Yuan Zhou, Shaolei Wang
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Abstract

In order to improve the initial alignment precision on static base is restricted because the system is not completely observable, UKF used in large misalignment angle has more calculate amount, the scheme of single-axial rotation is put forward, and UKF/KF feedback algorithm is applied to reduce calculate amount. The continuous rotation nonlinear error model is deduced out when the azimuth misalignment angle is large, attitude matrix is updated by equivalent rotation vector attitude algorithm, and UKF/KF is used to complete the process of precise alignment. UKF is used to state estimate when model is nonlinear error model, when misalignment angle is reduced less than one static value by feedback, error model can be considered as linear model and KF is used to complete state estimate. The simulation result shows that the alignment estimation accuracy in single-axial rotation scheme is obviously higher than two-position alignment and static alignment, UKF/KF has the same alignment precision and speed compare with UKF, but the speed of compute is enhanced.
UKF/KF在单轴旋转初始对准中的应用
针对静基初始对准精度受到系统不完全可见性限制的问题,提出了UKF用于大不对准角时计算量较大的方案,并采用UKF/KF反馈算法减少了计算量。推导出方位角偏差较大时的连续旋转非线性误差模型,采用等效旋转矢量姿态算法更新姿态矩阵,利用UKF/KF完成精确对准过程。当模型为非线性误差模型时使用UKF进行状态估计,当偏差角通过反馈减小到小于一个静态值时,误差模型可视为线性模型,使用KF完成状态估计。仿真结果表明,单轴旋转方案的对准估计精度明显高于双位置对准和静态对准,UKF/KF与UKF相比具有相同的对准精度和速度,但计算速度有所提高。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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