Optimal Control of the Atmospheric Reentry of a Space Shuttle by an Homotopy Method

Audrey Hermant 1, 2
2 Commands - Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées
Abstract : This paper deals with the optimal control problem of the atmospheric reentry of a space shuttle with a second-order state constraint on the thermal flux. We solve the problem using the shooting algorithm combined with an homotopy method which automatically determines the structure of the optimal trajectory (composed of one boundary arc and one touch point).
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Audrey Hermant. Optimal Control of the Atmospheric Reentry of a Space Shuttle by an Homotopy Method. Optimal Control Applications and Methods, Wiley, 2011, 32 (6), pp.627-646. ⟨10.1002/oca.961⟩. ⟨inria-00317722⟩

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