星敏感器姿态测量算法研究

doi:10.12305/j.issn.1001-506X.2023.03.24

Abstract

Abstract:

For the problem of low accuracy of traditional vector fixation method, the mainstreammulti-vector astronomical attitude determination algorithm based on star sensor is studied, and singular value decomposition (SVD) algorithm, double vector fixed attitude algorithm, least square (LS) algorithm, quaternion estimator (QUEST) algorithm and linear estimation algorithm are derived theoretically in detail. The linear estimation algorithm disperses the coordinate transformation equations of each vector pair and deduces the corresponding quaternion form, then combines the coordinate transformation equations of all vectors, and linearizes the quadratic quaternion matrix equation based on the M-P pseudo-inverse operation of rectangular matrix. On this basis, considering the influence of random noise, a robust operation is performed on the quaternion matrix equation with degree 1.The method has good innovation and practicability. With the goal of minimizing the Wahba loss function, the performance of the attitude determination algorithm is compared and analyzed. The simulation and experimental results show that the linear estimation algorithm has faster solving speed and higher accuracy than the other four algorithms.

Key words: star sensor, attitude determination, linear estimation, multi-vector

CLC Number:

V448.22

Hui DUAN, Zhaofa ZHOU, Zhili ZHANG, Zhihao XU, Shiwen HAO, Jin ZENG. Study on attitude measurement algorithm of star sensor[J]. Systems Engineering and Electronics, 2023, 45(3): 822-830.

Figures/Tables 6

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Table 1

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算法	噪声标准差
算法	1e-2	1e-3	1e-4	1e-5
双矢量定姿	8.287e-01	6.941e-02	9.671e-03	6.749e-04
SVD	2.108e-01	2.699e-02	2.904e-03	4.185e-04
LS	3.741e-01	3.691e-02	4.311e-03	4.571e-04
QUEST	2.108e-01	2.699e-02	2.904e-03	4.185e-04
线性估计算法	2.108e-01	2.699e-02	2.904e-03	4.185e-04

算法	噪声标准差
算法	1e-2	1e-3	1e-4	1e-5
SVD	6.199e-05	5.748e-05	6.303e-05	6.419e-05
LS	9.484e-05	9.401e-05	9.791e-05	9.488e-05
QUEST	5.594e-05	5.705e-05	5.897e-05	5.419e-05
线性估计算法	3.309e-05	3.504e-05	3.094e-05	3.519e-05

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Study on attitude measurement algorithm of star sensor

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