Global Optimization Approach for the Ascent Problem of Multi-stage Launchers
| Autor: | Eric Bourgeois, Hasnaa Zidani, Olivier Bokanowski, Anna Desilles |
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| Přispěvatelé: | Laboratoire Jacques-Louis Lions (LJLL), Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Centre National d'Études Spatiales [Toulouse] (CNES), Optimisation et commande (OC), Unité de Mathématiques Appliquées (UMA), École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris), École Nationale Supérieure de Techniques Avancées (ENSTA Paris), Collaboration ENSTA-CNES, under the grant RT-CR-430-1304-CNES, European Project: 264735,EC:FP7:PEOPLE,FP7-PEOPLE-2010-ITN,SADCO(2011) |
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Mathematical optimization Optimization problem Hamilton-Jacobi-Bellman approach Computer science Hamilton–Jacobi–Bellman equation CPU time 010103 numerical & computational mathematics 02 engineering and technology Trajectory optimization Nonlinear control Optimal control 01 natural sciences minimum time problem 020901 industrial engineering & automation Physics::Space Physics multi-stage launchers [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] 0101 mathematics trajectory optimization Global optimization Parametric statistics |
| Zdroj: | Modeling, Simulation and Optimization of Complex Processes HPSC 2018 ISBN: 9783030552398 Bock H.G., Jäger W., Kostina E., Phu H.X. (eds). Modeling, Simulation and Optimization of Complex Processes HPSC 2018. Springer, Cham. Bock H.G., Jäger W., Kostina E., Phu H.X. (eds). Modeling, Simulation and Optimization of Complex Processes HPSC 2018. Springer, Cham., pp.1--42, 2021, 978-3-030-55239-8. ⟨10.1007/978-3-030-55240-4_1⟩ |
| DOI: | 10.1007/978-3-030-55240-4_1 |
| Popis: | This paper deals with a problem of trajectory optimization of the flight phases of a threestage launcher. The aim of this optimization problem is to minimize the consumption of ergols that is need to steer the launcher from the Earth to the GEO. Here we use a global optimization procedure based on Hamilton-Jacobi-Bellman (HJB) approach. An interesting by-product of the HJB approach is the synthesis of the optimal control in feedback form. Once the HJB equation is solved, for any starting point, the reconstruction of the optimal trajectory can be performed in real time. We aim at showing that combining several new techniques for the HJB approach we can obtain efficient solutions to a fully nonlinear control problem. The global optimization procedure proposed here takes also into account parametric optimisation that appears in the flight phases. Several recent advanced numerical techniques for HJB equations (high order finite difference schemes, parallel computing) are used to solve a 6-dimensional optimal control problem within a reasonable CPU time. This work has been carried out in the frame of CNES Launchers’ Research and Technology program |
| Databáze: | OpenAIRE |
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