We present the numerical solution of an atmospheric reentry problem for a space shuttle. We discretize the control and state with the same grid, and use a large-scale successive quadratic programming technique. With the help of sliding horizon and successive refinement of the discretization, we can solve on a workstation a problem with 1600 time step, an unusually large figure for this kind of real world optimal control problem.
Publié le : 1994-07-05
Classification:
PATH FOLLOWING,
DIFFERENTIAL EQUATIONS,
NEWTON'S METHOD,
SUCCESSIVE QUADRATIC PROGRAMMING,
OPTIMAL CONTROL,
DISCRETIZATION,
[INFO.INFO-OH]Computer Science [cs]/Other [cs.OH],
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{Report N°: RR-2402,
author = {Bonnans, J. Frederic and Launay, Genevi\`eve},
title = {Large scale direct optimal control applied to the re-entry problem},
journal = {HAL},
volume = {1994},
number = {0},
year = {1994},
language = {en},
url = {http://dml.mathdoc.fr/item/Report N°: RR-2402}
}
Bonnans, J. Frederic; Launay, Geneviève. Large scale direct optimal control applied to the re-entry problem. HAL, Tome 1994 (1994) no. 0, . http://gdmltest.u-ga.fr/item/Report%20N%C2%B0:%20RR-2402/