Optimal control of a space shuttle and numerical simulations

Emmanuel Trélat (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

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.

Mots clés: Optimal control with state constraints; Control of the atmospheric arc; Multiple-shooting techniques

Domaines: Optimisation et contrôle [math.OC]

Emmanuel Trélat. Optimal control of a space shuttle and numerical simulations. Discrete and Continuous Dynamical Systems - Series S, 2003, suppl., pp.842--851. ⟨hal-00086325⟩