V-bar and R-bar Glideslope Guidance Algorithms for Fixed-Time Rendezvous: A Linear Programming Approach
| Autor: | Denis Arzelier, Christophe Louembet, Laura Sofia Urbina, Yassine Ariba |
|---|---|
| Přispěvatelé: | Institut Catholique d'Arts et Métiers (ICAM), 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, Université Toulouse III - Paul Sabatier (UT3), 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) |
| Rok vydání: | 2016 |
| Předmět: |
020301 aerospace & aeronautics
0209 industrial biotechnology Linear programming Degrees of freedom (statistics) Rendezvous linear programming Context (language use) 02 engineering and technology Expression (computer science) circular rendezvous [SPI.AUTO]Engineering Sciences [physics]/Automatic 020901 industrial engineering & automation 0203 mechanical engineering Glideslope approach Control and Systems Engineering Control theory Bounded function impulsive control Hill-Clohessy-Wiltshire equations Circular orbit Algorithm Rendezvous problem Mathematics |
| Zdroj: | Proceedings of the 20th IFAC Symposium on Automatic Control in Aerospace 20th IFAC Symposium on Automatic Control in Aerospace 20th IFAC Symposium on Automatic Control in Aerospace, Aug 2016, Sherbrooke, Canada |
| ISSN: | 2405-8963 |
| DOI: | 10.1016/j.ifacol.2016.09.066 |
| Popis: | International audience; This paper presents minimum-fuel glideslope autonomous guidance algorithms for approaching a target evolving on a circular orbit. In the context of a chemical propulsion, the classical multipulse glideslope algorithm of Hablani is revisited and it is shown that when considering specific common directions for the glideslope such as V-bar and R-bar directions, a linear formulation of the circular minimum-fuel linearized rendezvous problem may be deduced. Unlike the classical glideslope algorithm for which there is no direct control on the fuel consumption, additional degrees of freedom and relevant decision variables may be identified by combining an analytical expression for the maximal guidance error and Hill-Clohessy-Wiltshire relative equations of motion. For a fixed-time rendezvous with a pre-assigned number of maneuvers, a fuel-optimal solution with a bounded guidance error is obtained by solving a linear programming problem. Numerical examples demonstrate the usefulness of the approach with respect to the classical ones when the approach corridor has to fulfill stringent geometrical restrictions such as line-of-sight constraints. |
| Databáze: | OpenAIRE |
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