Optimal control with state constraints and the space shuttle re-entry problem

Abstract : In this article, we initialize the analysis under generic assumptions of the small \textit{time optimal synthesis} for single input systems with \textit{state constraints}. We use geometric methods to evaluate \textit{the small time reachable set} and necessary optimality conditions. Our work is motivated by the \textit{optimal control of the atmospheric arc for the re-entry of a space shuttle}, where the vehicle is subject to constraints on the thermal flux and on the normal acceleration. A \textit{multiple shooting technique} is finally applied to compute the optimal longitudinal arc.
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https://hal.archives-ouvertes.fr/hal-00086315
Contributor : Emmanuel Trélat <>
Submitted on : Tuesday, July 18, 2006 - 6:59:51 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM
Long-term archiving on : Tuesday, April 6, 2010 - 12:14:17 AM

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  • HAL Id : hal-00086315, version 1

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Bernard Bonnard, Ludovic Faubourg, Geneviève Launay, Emmanuel Trélat. Optimal control with state constraints and the space shuttle re-entry problem. Journal of Dynamical and Control Systems, Springer Verlag, 2003, 9 (2), pp.155--199. ⟨hal-00086315⟩

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