SVD-Aided EKF for Nanosatellite Attitude Estimation Based on Kinematic and Dynamic Relations

Q2 Computer Science Gyroscopy and Navigation Pub Date : 2024-03-23 DOI:10.1134/s2075108724700081
D. Cilden-Guler, Ch. Hajiyev
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Abstract

Small satellite attitude angles are estimated using measurements of star trackers and rate gyros in this study. The issue related to gyro drifts is overcome by adding the bias terms into the state vector in order to estimate them. As an estimation method, two-stage non-traditional filter is used. In the first stage, singular value decomposition (SVD) is used for determining the attitude measurements. As a second stage, an extended Kalman filter (EKF) is designed based on linear attitude measurements. These two stages are integrated for the whole estimation algorithm in order to have estimations with high accuracy, and it is called SVD-Aided EKF. The proposed SVD-Aided EKF is used with two attitude models of satellite: only the kinematics model which does not include the dynamics of a satellite, and both kinematics and dynamics relations. Several scales of uncertainties on the principal moment of inertia of the satellite are considered in order to determine the level when estimation error of the kinematics and dynamics-based filter exceeds the error of the case using only kinematics relations.

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基于运动学和动力学关系的 SVD 辅助 EKF 用于超小型卫星姿态估计
摘要 本研究利用星轨仪和速率陀螺仪的测量结果估算小卫星的姿态角。通过在状态矢量中加入偏差项来估计陀螺漂移,从而克服了与陀螺漂移有关的问题。作为一种估算方法,使用了两阶段非传统滤波器。在第一阶段,使用奇异值分解(SVD)来确定姿态测量值。第二阶段,根据线性姿态测量值设计扩展卡尔曼滤波器(EKF)。为了获得高精度的估算结果,这两个阶段被整合到整个估算算法中,这就是 SVD 辅助 EKF。所提出的 SVD 辅助 EKF 可用于两种卫星姿态模型:仅运动学模型(不包括卫星动力学)和运动学与动力学关系模型。为了确定基于运动学和动力学的滤波器的估计误差超过仅使用运动学关系情况下的误差时的水平,考虑了卫星主惯性矩的几种不确定性规模。
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来源期刊
Gyroscopy and Navigation
Gyroscopy and Navigation Computer Science-Computer Science (all)
CiteScore
2.80
自引率
0.00%
发文量
6
期刊介绍: Gyroscopy and Navigation  is an international peer reviewed journal that covers the following subjects: inertial sensors, navigation and orientation systems; global satellite navigation systems; integrated INS/GNSS navigation systems; navigation in GNSS-degraded environments and indoor navigation; gravimetric systems and map-aided navigation; hydroacoustic navigation systems; navigation devices and sensors (logs, echo sounders, magnetic compasses); navigation and sonar data processing algorithms. The journal welcomes manuscripts from all countries in the English or Russian language.
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