6533b830fe1ef96bd1296613
RESEARCH PRODUCT
Optimal control of the atmospheric arc of a space shuttle and numerical simulations with multiple-shooting method
Ludovic FaubourgEmmanuel TrélatBernard Bonnardsubject
[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]0209 industrial biotechnology49K15 70M2049M15Boundary (topology)Space Shuttlemultiple-shooting method02 engineering and technology01 natural sciencesAcceleration020901 industrial engineering & automationShooting methodMaximum principleControl theoryBoundary value problemcontrol of the atmospheric arc0101 mathematicsMathematicsmultiple-shooting method.Applied Mathematics010102 general mathematics[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]Optimal controlHeat fluxModeling and SimulationOptimal control with state constraints[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]description
This article, continuation of previous works, presents the applications of geometric optimal control theory to the analysis of the Earth re-entry problem for 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. Our analysis is based on the evaluation of the reachable set using the maximum principle and direct computations with the boundary conditions according to the CNES research project\footnote{The project is partially supported by the Centre National d'Etude Spatiales.}. The optimal solution is approximated by a concatenation of bang and boundary arcs, and is numerically computed with a multiple-shooting method.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-01-01 |