American Institute of Mathematical Sciences

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2003, 2003(Special): 842-851. doi: 10.3934/proc.2003.2003.842

Optimal control of a space shuttle, and numerical simulations

Emmanuel Trélat 1,

1. 

Mathématique, Analyse Numérique et EDP, Université Paris-Sud, Bâtiment 425, 91405 Orsay Cedex

Received  September 2002 Revised  March 2003 Published  April 2003

We study the Earth re-entry problem of a space shuttle where the control is the angle of bank, the cost is the total amount of thermal flux, and the system is subject to state constraints on the thermal flux, the normal acceleration and the dynamic pressure. The optimal solution is approximated by a concatenation of bang and boundary arcs, and is numerically computed using a multiple-shooting code.
Keywords: Control of the atmospheric arc, Optimal control with state constraints, Multiple-shooting techniques..
Mathematics Subject Classification: Primary: 49K15, 70M20; Secondary: 49M1.
Citation: Emmanuel Trélat. Optimal control of a space shuttle, and numerical simulations. Conference Publications, 2003, 2003 (Special) : 842-851. doi: 10.3934/proc.2003.2003.842
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