Stabilisation of a Flexible Spacecraft Subject to External Disturbance and Uncertainties

This paper addresses the problems of vibration reduction and attitude tracking for a flexible spacecraft subject to external disturbances and uncertainties. Based on Hamilton’s principle, flexible spacecraft is modelled by a coupled nonlinear partial differential equation with ordinary differential...

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Main Authors: Yun Fu, Yu Liu, Lingyan Hu, Lingxi Peng
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/2906546
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author Yun Fu
Yu Liu
Lingyan Hu
Lingxi Peng
author_facet Yun Fu
Yu Liu
Lingyan Hu
Lingxi Peng
author_sort Yun Fu
collection DOAJ
description This paper addresses the problems of vibration reduction and attitude tracking for a flexible spacecraft subject to external disturbances and uncertainties. Based on Hamilton’s principle, flexible spacecraft is modelled by a coupled nonlinear partial differential equation with ordinary differential equations. Adaptive boundary control scheme is adopted to stabilize the vibration displacement of flexible appendage into a small neighbourhood of original position and simultaneously maintain attitude angle within the desired angle region. Two disturbance adaptive laws are constructed to attenuate the effect of unknown external disturbances. The well posedness of the controlled system is proven by using the semigroup theory. The proposed adaptive boundary control scheme can guarantee the uniform boundedness of the closed-loop system. Numerical simulation results illustrate the effectiveness of the proposed control scheme.
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institution OA Journals
issn 1076-2787
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language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-148cbd2709e340b2bcc5ca6317416b9a2025-08-20T02:02:02ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/29065462906546Stabilisation of a Flexible Spacecraft Subject to External Disturbance and UncertaintiesYun Fu0Yu Liu1Lingyan Hu2Lingxi Peng3School of Information Engineering, Nanchang University, Nanchang 330031, ChinaSchool of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, ChinaSchool of Information Engineering, Nanchang University, Nanchang 330031, ChinaSchool of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, ChinaThis paper addresses the problems of vibration reduction and attitude tracking for a flexible spacecraft subject to external disturbances and uncertainties. Based on Hamilton’s principle, flexible spacecraft is modelled by a coupled nonlinear partial differential equation with ordinary differential equations. Adaptive boundary control scheme is adopted to stabilize the vibration displacement of flexible appendage into a small neighbourhood of original position and simultaneously maintain attitude angle within the desired angle region. Two disturbance adaptive laws are constructed to attenuate the effect of unknown external disturbances. The well posedness of the controlled system is proven by using the semigroup theory. The proposed adaptive boundary control scheme can guarantee the uniform boundedness of the closed-loop system. Numerical simulation results illustrate the effectiveness of the proposed control scheme.http://dx.doi.org/10.1155/2020/2906546
spellingShingle Yun Fu
Yu Liu
Lingyan Hu
Lingxi Peng
Stabilisation of a Flexible Spacecraft Subject to External Disturbance and Uncertainties
Complexity
title Stabilisation of a Flexible Spacecraft Subject to External Disturbance and Uncertainties
title_full Stabilisation of a Flexible Spacecraft Subject to External Disturbance and Uncertainties
title_fullStr Stabilisation of a Flexible Spacecraft Subject to External Disturbance and Uncertainties
title_full_unstemmed Stabilisation of a Flexible Spacecraft Subject to External Disturbance and Uncertainties
title_short Stabilisation of a Flexible Spacecraft Subject to External Disturbance and Uncertainties
title_sort stabilisation of a flexible spacecraft subject to external disturbance and uncertainties
url http://dx.doi.org/10.1155/2020/2906546
work_keys_str_mv AT yunfu stabilisationofaflexiblespacecraftsubjecttoexternaldisturbanceanduncertainties
AT yuliu stabilisationofaflexiblespacecraftsubjecttoexternaldisturbanceanduncertainties
AT lingyanhu stabilisationofaflexiblespacecraftsubjecttoexternaldisturbanceanduncertainties
AT lingxipeng stabilisationofaflexiblespacecraftsubjecttoexternaldisturbanceanduncertainties