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Geostationary Satellite Station-Keeping Using Convex Optimization

de Bruijn, Frederik J. and Theil, Stephan and Choukroun, Daniel and Gill, Eberhard (2015) Geostationary Satellite Station-Keeping Using Convex Optimization. Journal of Guidance, Control, and Dynamics, 39 (3), pp. 605-616. American Institute of Aeronautics and Astronautics (AIAA). DOI: 10.2514/1.G001650 ISSN 0731-5090

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Official URL: http://dx.doi.org/10.2514/1.G001302

Abstract

This paper introduces a novel affine formulation of the equations of motion of a satellite in a geostationary orbit and, based on this formulation, presents a method for determining station-keeping maneuvers using convex optimization. The state equations are written as a linear, time-varying system and include all dominant perturbing accelerations. An investigation into the modeling errors is presented to validate and establish fidelity in the approach. The linearity of the system enables the formulation of the station-keeping problem as a convex optimization problem. The optimization-based formulation allows to explicitly account for constraints on state and control variables. The resulting problem can be solved reliably, requiring only limited computational resources, making the method not only applicable to on-ground open-loop maneuver planning (the current state of the art) but also to a closed-loop onboard implementation. The method is generic and can be applied to satellites equipped with high-thrust chemical propulsion and low-thrust electric propulsion. The resulting maneuver plans consist of only a few maneuvers. The station-keeping method is validated by comparison to a conventional method. Further benefits are demonstrated through an application of the method in the form of receding horizon control.

Item URL in elib:https://elib.dlr.de/112637/
Document Type:Article
Title:Geostationary Satellite Station-Keeping Using Convex Optimization
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
de Bruijn, Frederik J.UNSPECIFIEDUNSPECIFIED
Theil, Stephanstephan.theil (at) dlr.dehttps://orcid.org/0000-0002-5346-8091
Choukroun, DanielUNSPECIFIEDUNSPECIFIED
Gill, EberhardUNSPECIFIEDUNSPECIFIED
Date:15 August 2015
Journal or Publication Title:Journal of Guidance, Control, and Dynamics
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:39
DOI :10.2514/1.G001650
Page Range:pp. 605-616
Publisher:American Institute of Aeronautics and Astronautics (AIAA)
ISSN:0731-5090
Status:Published
Keywords:geostationary satellites station-keeping collocation geometric constraints modeling dynamics guidance control
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Technik für Raumfahrtsysteme
DLR - Research theme (Project):R - Lageregelungstechnik / Formationsflug (old)
Location: Bremen
Institutes and Institutions:Institute of Space Systems > Navigation and Control Systems
Deposited By: Theil, Dr.-Ing. Stephan
Deposited On:13 Jun 2017 11:03
Last Modified:31 Jul 2019 20:09

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