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Optimal control of a space shuttle, and numerical simulations

Pages: 842 - 851, Issue Special, July 2003

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Emmanuel Trélat - Mathématique, Analyse Numérique et EDP, Université Paris-Sud, Bâtiment 425, 91405 Orsay Cedex, France (email)

Abstract: 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:  Optimal control with state constraints, Control of the atmospheric arc, Multiple-shooting techniques.
Mathematics Subject Classification:  Primary: 49K15, 70M20; Secondary: 49M15.

Received: September 2002;      Revised: March 2003;      Published: April 2003.