6533b86efe1ef96bd12cc576
RESEARCH PRODUCT
Optimal control with state constraints and the space shuttle re-entry problem
Bernard Bonnard Ludovic Faubourg Geneviève Launay Emmanuel Trélatsubject
[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]Minimum principleMultiple shooting techniques49K15 70M2049M15Control of the atmospheric arc[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]Optimal control with state constraints[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-01-01 |