Integrated 6-DOF Orbit-Attitude Dynamical Modeling and Control Using Geometric Mechanics

The integrated 6-DOF orbit-attitude dynamical modeling and control have shown great importance in various missions, for example, formation flying and proximity operations. The integrated approach yields better performances than the separate one in terms of accuracy, efficiency, and agility. One chal...

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Main Authors: Ling Jiang, Yue Wang, Shijie Xu
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:International Journal of Aerospace Engineering
Online Access:http://dx.doi.org/10.1155/2017/4034328
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author Ling Jiang
Yue Wang
Shijie Xu
author_facet Ling Jiang
Yue Wang
Shijie Xu
author_sort Ling Jiang
collection DOAJ
description The integrated 6-DOF orbit-attitude dynamical modeling and control have shown great importance in various missions, for example, formation flying and proximity operations. The integrated approach yields better performances than the separate one in terms of accuracy, efficiency, and agility. One challenge in the integrated approach is to find a unified representation for the 6-DOF motion with configuration space SE(3). Recently, exponential coordinates of SE(3) have been used in dynamics and control of the 6-DOF motion, however, only on the kinematical level. In this paper, we will improve the current method by adopting exponential coordinates on the dynamical level, by giving the relation between the second-order derivative of exponential coordinates and spacecraft’s accelerations. In this way, the 6-DOF motion in terms of exponential coordinates can be written as a second-order system with a quite compact form, to which a broader range of control theories, such as higher-order sliding modes, can be applied. For a demonstration purpose, a simple asymptotic tracking control law with almost global convergence is designed. Finally, the integrated modeling and control are applied to the body-fixed hovering over an asteroid and verified by a simulation, in which absolute motions of the spacecraft and asteroid are simulated separately.
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spelling doaj-art-2ca178f472c44aeea78f33691410c8982025-02-03T05:57:39ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742017-01-01201710.1155/2017/40343284034328Integrated 6-DOF Orbit-Attitude Dynamical Modeling and Control Using Geometric MechanicsLing Jiang0Yue Wang1Shijie Xu2School of Astronautics, Beihang University, Beijing 100191, ChinaSchool of Astronautics, Beihang University, Beijing 100191, ChinaSchool of Astronautics, Beihang University, Beijing 100191, ChinaThe integrated 6-DOF orbit-attitude dynamical modeling and control have shown great importance in various missions, for example, formation flying and proximity operations. The integrated approach yields better performances than the separate one in terms of accuracy, efficiency, and agility. One challenge in the integrated approach is to find a unified representation for the 6-DOF motion with configuration space SE(3). Recently, exponential coordinates of SE(3) have been used in dynamics and control of the 6-DOF motion, however, only on the kinematical level. In this paper, we will improve the current method by adopting exponential coordinates on the dynamical level, by giving the relation between the second-order derivative of exponential coordinates and spacecraft’s accelerations. In this way, the 6-DOF motion in terms of exponential coordinates can be written as a second-order system with a quite compact form, to which a broader range of control theories, such as higher-order sliding modes, can be applied. For a demonstration purpose, a simple asymptotic tracking control law with almost global convergence is designed. Finally, the integrated modeling and control are applied to the body-fixed hovering over an asteroid and verified by a simulation, in which absolute motions of the spacecraft and asteroid are simulated separately.http://dx.doi.org/10.1155/2017/4034328
spellingShingle Ling Jiang
Yue Wang
Shijie Xu
Integrated 6-DOF Orbit-Attitude Dynamical Modeling and Control Using Geometric Mechanics
International Journal of Aerospace Engineering
title Integrated 6-DOF Orbit-Attitude Dynamical Modeling and Control Using Geometric Mechanics
title_full Integrated 6-DOF Orbit-Attitude Dynamical Modeling and Control Using Geometric Mechanics
title_fullStr Integrated 6-DOF Orbit-Attitude Dynamical Modeling and Control Using Geometric Mechanics
title_full_unstemmed Integrated 6-DOF Orbit-Attitude Dynamical Modeling and Control Using Geometric Mechanics
title_short Integrated 6-DOF Orbit-Attitude Dynamical Modeling and Control Using Geometric Mechanics
title_sort integrated 6 dof orbit attitude dynamical modeling and control using geometric mechanics
url http://dx.doi.org/10.1155/2017/4034328
work_keys_str_mv AT lingjiang integrated6doforbitattitudedynamicalmodelingandcontrolusinggeometricmechanics
AT yuewang integrated6doforbitattitudedynamicalmodelingandcontrolusinggeometricmechanics
AT shijiexu integrated6doforbitattitudedynamicalmodelingandcontrolusinggeometricmechanics