Robust Control Allocation among Overactuated Spacecraft Thrusters under Ellipsoidal Uncertainty

Spacecrafts with overactuated and redundant thrusters can work normally once some of them are out of work, which improves the reliability of spacecraft in orbit. In this way, the desired command of controller needs to be dynamically allocated among thrusters. Considering that uncertain factors may a...

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Main Authors: Chenyang Duan, Shijie Zhang, Yafei Zhao, Xianren Kong
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/950127
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author Chenyang Duan
Shijie Zhang
Yafei Zhao
Xianren Kong
author_facet Chenyang Duan
Shijie Zhang
Yafei Zhao
Xianren Kong
author_sort Chenyang Duan
collection DOAJ
description Spacecrafts with overactuated and redundant thrusters can work normally once some of them are out of work, which improves the reliability of spacecraft in orbit. In this way, the desired command of controller needs to be dynamically allocated among thrusters. Considering that uncertain factors may appear in forms of dynamics, installation errors, thrust deviations, or failures, this paper proposes a robust control allocation under ellipsoidal uncertainty. This method uses the uncertainty ellipsoid set to describe the uncertainty of the thrusters firstly and establish the thrust allocation robust reference model and then transforms it into a cone optimization model which can be solved as an optimized problem. Finally, this paper adopts the interior-point method for solving the optimization problem. In this way, difficulties of solving the problem caused by parameter uncertainties are avoided effectively. Finally, we take satellite rendezvous and docking as simulation scenarios; it is verified that the cumulative distribution error and maximum error can be reduced by more than 15% when the random error of control efficiency matrix is 5%–20%; also, precision of thruster allocation is improved.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-c22d8769119b424bb1cc0901c23d7c332025-02-03T05:57:11ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/950127950127Robust Control Allocation among Overactuated Spacecraft Thrusters under Ellipsoidal UncertaintyChenyang Duan0Shijie Zhang1Yafei Zhao2Xianren Kong3Research Center of Satellite Technology, Harbin Institute of Technology, Harbin 150080, ChinaResearch Center of Satellite Technology, Harbin Institute of Technology, Harbin 150080, ChinaResearch Center of Satellite Technology, Harbin Institute of Technology, Harbin 150080, ChinaResearch Center of Satellite Technology, Harbin Institute of Technology, Harbin 150080, ChinaSpacecrafts with overactuated and redundant thrusters can work normally once some of them are out of work, which improves the reliability of spacecraft in orbit. In this way, the desired command of controller needs to be dynamically allocated among thrusters. Considering that uncertain factors may appear in forms of dynamics, installation errors, thrust deviations, or failures, this paper proposes a robust control allocation under ellipsoidal uncertainty. This method uses the uncertainty ellipsoid set to describe the uncertainty of the thrusters firstly and establish the thrust allocation robust reference model and then transforms it into a cone optimization model which can be solved as an optimized problem. Finally, this paper adopts the interior-point method for solving the optimization problem. In this way, difficulties of solving the problem caused by parameter uncertainties are avoided effectively. Finally, we take satellite rendezvous and docking as simulation scenarios; it is verified that the cumulative distribution error and maximum error can be reduced by more than 15% when the random error of control efficiency matrix is 5%–20%; also, precision of thruster allocation is improved.http://dx.doi.org/10.1155/2014/950127
spellingShingle Chenyang Duan
Shijie Zhang
Yafei Zhao
Xianren Kong
Robust Control Allocation among Overactuated Spacecraft Thrusters under Ellipsoidal Uncertainty
Abstract and Applied Analysis
title Robust Control Allocation among Overactuated Spacecraft Thrusters under Ellipsoidal Uncertainty
title_full Robust Control Allocation among Overactuated Spacecraft Thrusters under Ellipsoidal Uncertainty
title_fullStr Robust Control Allocation among Overactuated Spacecraft Thrusters under Ellipsoidal Uncertainty
title_full_unstemmed Robust Control Allocation among Overactuated Spacecraft Thrusters under Ellipsoidal Uncertainty
title_short Robust Control Allocation among Overactuated Spacecraft Thrusters under Ellipsoidal Uncertainty
title_sort robust control allocation among overactuated spacecraft thrusters under ellipsoidal uncertainty
url http://dx.doi.org/10.1155/2014/950127
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AT shijiezhang robustcontrolallocationamongoveractuatedspacecraftthrustersunderellipsoidaluncertainty
AT yafeizhao robustcontrolallocationamongoveractuatedspacecraftthrustersunderellipsoidaluncertainty
AT xianrenkong robustcontrolallocationamongoveractuatedspacecraftthrustersunderellipsoidaluncertainty