A Minimum-Fuel Fixed-Time Low-Thrust Rendezvous Solved with the Switching Systems Theory
| Autor: | Clément Gazzino, Denis Arzelier, Luca Cerri, Christophe Louembet, Damiana Losa, Christelle Pittet |
|---|---|
| Přispěvatelé: | Équipe Méthodes et Algorithmes en Commande (LAAS-MAC), Laboratoire d'analyse et d'architecture des systèmes (LAAS), Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées, Centre National d'Études Spatiales [Toulouse] (CNES), Thales Alenia Space (TAS), THALES, Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université de Toulouse (UT)-Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT), Thales Alenia Space [Toulouse] (TAS), THALES [France], Équipe Recherche Opérationnelle, Optimisation Combinatoire et Contraintes (LAAS-ROC), Centre National d’Études Spatiales [Paris] (CNES) |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
020301 aerospace & aeronautics
0209 industrial biotechnology Low Thrust Computer science Optimal Control Rendezvous Regular polygon Thrust 02 engineering and technology Optimal control Switching Systems Nonlinear system 020901 industrial engineering & automation 0203 mechanical engineering Systems theory Control theory [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering Initial value problem Rendezvous problem Satellite Rendezvous |
| Zdroj: | 26th International Symposium on Space Flight Dynamics (ISSFD 2017) 26th International Symposium on Space Flight Dynamics (ISSFD 2017), Jun 2017, Matsuyama, Japan. 6p Transactions of the Japan Society for Aeronautical and Space Sciences Transactions of the Japan Society for Aeronautical and Space Sciences, Japan Society for Aeronautical and Space Sciences (J-STAGE), 2018, ISTS Special Issue, 16 (7), pp.628-634. ⟨10.2322/tastj.16.628⟩ Transactions of the Japan Society for Aeronautical and Space Sciences, 2018, ISTS Special Issue, 16 (7), pp.628-634. ⟨10.2322/tastj.16.628⟩ |
| ISSN: | 0549-3811 |
| DOI: | 10.2322/tastj.16.628⟩ |
| Popis: | International audience; In this paper, a fuel optimal rendezvous problem is tackled in the Hill-Clohessy-Wiltshire framework with several operational constraints as bounds on the thrust, non linear non convex and disjunctive operational constraints (on-off profile of the thrusters, minimum elapsed time between two consecutive firings...). An indirect method and a decomposition technique have already been combined in order to solve this kind of optimal control problem with such constraints. Due to a great number of parameters to tune, satisfactory results are hard to obtain and are sensitive to the initial condition. Assuming that no singular arc exists, it can be shown that the optimal control exhibits a bang-bang structure whose optimal switching times are to be found. Noticing that a system with a bang-bang control profile can be considered as two subsystems switching from one with control on to with control off, and vice-versa, a technique coming from the switching systems theory is used in order to optimise the switching times. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|