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Global Optimization Approach for the Ascent Problem of Multi-stage Launchers

In: Modeling, Simulation and Optimization of Complex Processes HPSC 2018

Author

Listed:
  • O. Bokanowski

    (University Paris Diderot, Lab. J.-L. Lions)

  • E. Bourgeois

    (CNES Launcher Directorate)

  • A. Désilles

    (Unité de Mathématiques Appliquées (UMA), Ensta ParisTech)

  • H. Zidani

    (Unité de Mathématiques Appliquées (UMA), Ensta ParisTech)

Abstract

This paper deals with a trajectory optimization problem for a three-stage launcher with the aim to minimize the consumption of propellant needed to steer the launcher from the Earth to the GEO (geostationary orbit). Here we use a global optimization procedure based on Hamilton-Jacobi-Bellman approach and consider a complete model including the transfer from a GTO (geostationary transfer orbit) to the GEO. This model leads to an optimal control problem involving also some optimization parameters that appear in the flight phases. First, an adequate formulation of the control problem is introduced. Then, we discuss some theoretical results related to the value function and to the reconstruction of an optimal trajectory. Numerical simulations are given to show the relevance of the global optimization approach. This work has been undertaken in the frame of CNES Launchers’ Research and Technology program.

Suggested Citation

  • O. Bokanowski & E. Bourgeois & A. Désilles & H. Zidani, 2021. "Global Optimization Approach for the Ascent Problem of Multi-stage Launchers," Springer Books, in: Hans Georg Bock & Willi Jäger & Ekaterina Kostina & Hoang Xuan Phu (ed.), Modeling, Simulation and Optimization of Complex Processes HPSC 2018, pages 1-42, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-55240-4_1
    DOI: 10.1007/978-3-030-55240-4_1
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