Optimization of the launcher ascent trajectory leading to the global optimum without any initialization: the breakthrough of the HJB approach

Eric Bourgeois 1 Olivier Bokanowski 2 Anya Désilles 3 Hasnaa Zidani 3
1 Direction des lanceurs
2 LJLL - Laboratoire Jacques-Louis Lions
3 UMA - Unité de Mathématiques Appliquées
Abstract : We investigate the resolution of the launcher ascent trajectory problem by the so-called Hamilton- Jacobi- Bellman (HJB) approach, relying on the Dynamic Programming Principle. The method gives a global optimum and does not need any initialization procedure. Despite these advantages, this approach is seldom used, because of the difficulties of computing the solution of the HJB equation for high dimension problems. The present study shows that an efficient resolution is found. An illustration of the method is proposed on a heavy class launcher, for a typical GEO mission. This study has been performed in the frame of the CNES Launchers Research & Technology program.
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Conference papers
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https://hal-ensta-paris.archives-ouvertes.fr//hal-01254164
Contributor : Hasnaa Zidani <>
Submitted on : Monday, January 11, 2016 - 6:50:13 PM
Last modification on : Thursday, July 25, 2019 - 4:34:10 PM

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  • HAL Id : hal-01254164, version 1

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Eric Bourgeois, Olivier Bokanowski, Anya Désilles, Hasnaa Zidani. Optimization of the launcher ascent trajectory leading to the global optimum without any initialization: the breakthrough of the HJB approach. 6TH EUROPEAN CONFERENCE FOR AERONAUTICS AND SPACE SCIENCES (EUCASS), Jun 2015, Kraków, Poland. 12 p. ⟨hal-01254164⟩

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