A Hamilton-Jacobi-Bellman approach for the optimal control of an abort landing problem
december, 2016
Type de publication :
Conférence internationale avec actes
Conférence :
IEEE 55th Conference on Decision and Control (CDC), 2016
DOI :
HAL :
Mots clés :
Aircraft, Trajectory, Force, Optimal control, Mathematical model, Aerodynamics, Jacobian matrices
Résumé :
We study an aircraft abort landing problem modelled by a five dimensional state system with state constraints and a maximum running cost function as introduced by Bulirsch, Montrone and Pesch (J. Optim. Theory Appl., Vol. 70, No 1, pp 1–23, 1991). We propose a Hamilton-Jacobi-Bellman (HJB) approach in order to compute the value function associated to the problem, as well as trajectory reconstruction procedures based on the value function, or on a related exit time function. Some numerical illustrations are included to show the relevance of our approach.
BibTeX :
@inproceedings{Ass-Bok-Des-Zid-2016,
author={Mohamed Assellaou and Olivier Bokanowski and Anna Désilles
and Hasnaa Zidani },
title={A Hamilton-Jacobi-Bellman approach for the optimal control of
an abort landing problem },
doi={10.1109/CDC.2016.7798815 },
organization={IEEE 55th Conference on Decision and Control (CDC), 2016 },
year={2016 },
month={12},
}