Linearized Impulsive Fixed-Time Fuel-Optimal Space rendezvous: A New Numerical Approach
| العنوان: | Linearized Impulsive Fixed-Time Fuel-Optimal Space rendezvous: A New Numerical Approach |
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| المؤلفون: | Romain Serra, Mioara Joldes, Florent Bréhard, Denis Arzelier, Christophe Louembet, Norbert Deak, Aude Rondepierre |
| المساهمون: | Équipe Méthodes et Algorithmes en Commande (LAAS-MAC), Laboratoire d'analyse et d'architecture des systèmes (LAAS), 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), Institut de Mathématiques de Toulouse UMR5219 (IMT), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS), 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, Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS) |
| المصدر: | 20th IFAC Symposium on Automatic Control in Aerospace 20th IFAC Symposium on Automatic Control in Aerospace, Aug 2016, Sherbrooke, Canada. ⟨10.1016/j.ifacol.2016.09.064⟩ |
| بيانات النشر: | Elsevier BV, 2016. |
| سنة النشر: | 2016 |
| مصطلحات موضوعية: | primer vector, 0209 industrial biotechnology, 021103 operations research, Spacecraft, Discretization, semi-infinite convex programming, business.industry, discretization methods, 0211 other engineering and technologies, Rendezvous, 02 engineering and technology, Impulsive optimal control, 16. Peace & justice, Optimal control, 020901 industrial engineering & automation, Control and Systems Engineering, Control theory, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, Convex optimization, elliptic rendezvous, Relaxation (approximation), business, Rendezvous problem, Mathematics, Space rendezvous |
| الوصف: | International audience; This paper focuses on the fixed-time minimum-fuel rendezvous between close elliptic orbits of an active spacecraft with a passive target spacecraft, assuming a linear impulsive setting and a Keplerian relative motion. Following earlier works developed in the 1960s, the original optimal control problem is transformed into a semi-infinite convex optimization problem using a relaxation scheme and duality theory in normed linear spaces. A new numerical convergent algorithm based on discretization methods is designed to solve this problem. Its solution is then used in a general simple procedure dedicated to the computation of the optimal velocity increments and optimal impulses locations. It is also shown that the semi-infinite convex programming has an analytical solution for the out-of-plane rendezvous problem. Different realistic numerical examples illustrate these results. |
| تدمد: | 2405-8963 |
| DOI: | 10.1016/j.ifacol.2016.09.064 |
| DOI: | 10.1016/j.ifacol.2016.09.064⟩ |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c1021546df6874e8067bf1428905532 https://doi.org/10.1016/j.ifacol.2016.09.064 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....1c1021546df6874e8067bf1428905532 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 24058963 |
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| DOI: | 10.1016/j.ifacol.2016.09.064 |