Optimal Attitude Determination from Vector Sensors Using Fast Analytical Singular Value Decomposition

Optimal Attitude Determination from Vector Sensors Using Fast Analytical Singular Value Decomposition

A novel algorithm is proposed in this paper to solve the optimal attitude determination formulation from vector observation pairs, that is, the Wahba problem. We propose here a fast analytic singular value decomposition (SVD) approach to obtain the optimal attitude matrix. The derivations and mandat...

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Main Authors: Zhuohua Liu, Wei Liu, Xiangyang Gong, Jin Wu
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Journal of Sensors
Online Access:http://dx.doi.org/10.1155/2018/6308530
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spelling doaj-09186c3b28ab4e19acda41a179083de52020-11-24T23:55:56ZengHindawi LimitedJournal of Sensors1687-725X1687-72682018-01-01201810.1155/2018/63085306308530Optimal Attitude Determination from Vector Sensors Using Fast Analytical Singular Value DecompositionZhuohua Liu0Wei Liu1Xiangyang Gong2Jin Wu3State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaBeijing University of Posts and Telecommunications, Beijing 100876, ChinaState Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaSchool of Automation, University of Electronic Science and Technology of China, Chengdu, ChinaA novel algorithm is proposed in this paper to solve the optimal attitude determination formulation from vector observation pairs, that is, the Wahba problem. We propose here a fast analytic singular value decomposition (SVD) approach to obtain the optimal attitude matrix. The derivations and mandatory proofs are presented to clarify the theory and support its feasibility. Through simulation experiments, the proposed algorithm is validated. The results show that it maintains the same attitude determination accuracy and robustness with conventional methodologies but significantly reduces the computation time.http://dx.doi.org/10.1155/2018/6308530
collection DOAJ
language English
format Article
sources DOAJ
author Zhuohua Liu
Wei Liu
Xiangyang Gong
Jin Wu
spellingShingle Zhuohua Liu
Wei Liu
Xiangyang Gong
Jin Wu
Optimal Attitude Determination from Vector Sensors Using Fast Analytical Singular Value Decomposition
Journal of Sensors
author_facet Zhuohua Liu
Wei Liu
Xiangyang Gong
Jin Wu
author_sort Zhuohua Liu
title Optimal Attitude Determination from Vector Sensors Using Fast Analytical Singular Value Decomposition
title_short Optimal Attitude Determination from Vector Sensors Using Fast Analytical Singular Value Decomposition
title_full Optimal Attitude Determination from Vector Sensors Using Fast Analytical Singular Value Decomposition
title_fullStr Optimal Attitude Determination from Vector Sensors Using Fast Analytical Singular Value Decomposition
title_full_unstemmed Optimal Attitude Determination from Vector Sensors Using Fast Analytical Singular Value Decomposition
title_sort optimal attitude determination from vector sensors using fast analytical singular value decomposition
publisher Hindawi Limited
series Journal of Sensors
issn 1687-725X
1687-7268
publishDate 2018-01-01
description A novel algorithm is proposed in this paper to solve the optimal attitude determination formulation from vector observation pairs, that is, the Wahba problem. We propose here a fast analytic singular value decomposition (SVD) approach to obtain the optimal attitude matrix. The derivations and mandatory proofs are presented to clarify the theory and support its feasibility. Through simulation experiments, the proposed algorithm is validated. The results show that it maintains the same attitude determination accuracy and robustness with conventional methodologies but significantly reduces the computation time.
url http://dx.doi.org/10.1155/2018/6308530
work_keys_str_mv AT zhuohualiu optimalattitudedeterminationfromvectorsensorsusingfastanalyticalsingularvaluedecomposition
AT weiliu optimalattitudedeterminationfromvectorsensorsusingfastanalyticalsingularvaluedecomposition
AT xiangyanggong optimalattitudedeterminationfromvectorsensorsusingfastanalyticalsingularvaluedecomposition
AT jinwu optimalattitudedeterminationfromvectorsensorsusingfastanalyticalsingularvaluedecomposition
_version_ 1725460516401315840

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