Datum
2023-06-16Metadata
Zur Langanzeige
Aufsatz
Attitude maneuvers avoiding forbidden directions
Zusammenfassung
Many space missions require the execution of large-angle attitude slews during which stringent pointing constraints must be satisfied. For example, the pointing direction of a space telescope must be kept away from directions to bright objects, maintaining a prescribed safety margin. In this paper we propose an open-loop attitude control algorithm which determines a rest-to-rest maneuver between prescribed attitudes while ensuring that any of an arbitrary number of body-fixed directions of light-sensitive instruments stays clear of any of an arbitrary number of space-fixed directions. The approach is based on an application of a version of Pontryagin’s Maximum Principle tailor-made for optimal control problems on Lie groups, and the pointing constraints are ensured by a judicious choice of the cost functional. The existence of up to three first integrals of the resulting system equations is established, depending on the number of light-sensitive and forbidden directions. These first integrals can be exploited in the numerical implementation of the attitude control algorithm, as is shown in the case of one light-sensitive and several forbidden directions. The results of the test cases presented confirm the applicability of the proposed algorithm.
Zitierform
In: Astrodynamics Volume 7 / Issue 3 (2023-06-16) eissn:2522-0098Förderhinweis
Gefördert im Rahmen des Projekts DEALZitieren
@article{doi:10.17170/kobra-202307268484,
author={Ailabouni, David and Meister, Andreas and Spindler, Karlheinz},
title={Attitude maneuvers avoiding forbidden directions},
journal={Astrodynamics},
year={2023}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2023$n2023 1500 1/eng 2050 ##0##http://hdl.handle.net/123456789/14928 3000 Ailabouni, David 3010 Meister, Andreas 3010 Spindler, Karlheinz 4000 Attitude maneuvers avoiding forbidden directions / Ailabouni, David 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/http://hdl.handle.net/123456789/14928=x R 4204 \$dAufsatz 4170 5550 {{Lageregelung}} 5550 {{Lie-Gruppe}} 5550 {{Pontrjagin, Lev S.}} 7136 ##0##http://hdl.handle.net/123456789/14928
2023-07-26T10:20:03Z 2023-07-26T10:20:03Z 2023-06-16 doi:10.17170/kobra-202307268484 http://hdl.handle.net/123456789/14928 Gefördert im Rahmen des Projekts DEAL eng Namensnennung 4.0 International http://creativecommons.org/licenses/by/4.0/ attitude control pointing constraints optimal control on Lie groups Pontryagin’s Maximum Principle 510 Attitude maneuvers avoiding forbidden directions Aufsatz Many space missions require the execution of large-angle attitude slews during which stringent pointing constraints must be satisfied. For example, the pointing direction of a space telescope must be kept away from directions to bright objects, maintaining a prescribed safety margin. In this paper we propose an open-loop attitude control algorithm which determines a rest-to-rest maneuver between prescribed attitudes while ensuring that any of an arbitrary number of body-fixed directions of light-sensitive instruments stays clear of any of an arbitrary number of space-fixed directions. The approach is based on an application of a version of Pontryagin’s Maximum Principle tailor-made for optimal control problems on Lie groups, and the pointing constraints are ensured by a judicious choice of the cost functional. The existence of up to three first integrals of the resulting system equations is established, depending on the number of light-sensitive and forbidden directions. These first integrals can be exploited in the numerical implementation of the attitude control algorithm, as is shown in the case of one light-sensitive and several forbidden directions. The results of the test cases presented confirm the applicability of the proposed algorithm. open access Ailabouni, David Meister, Andreas Spindler, Karlheinz 351-362 doi:10.1007/s42064-023-0163-7 Lageregelung Lie-Gruppe Pontrjagin, Lev S. publishedVersion eissn:2522-0098 Issue 3 Astrodynamics Volume 7 false
Die folgenden Lizenzbestimmungen sind mit dieser Ressource verbunden: