A Hamilton-Jacobi-Bellman approach for the optimal control of an abort landing problem

Mohamed Assellaou, Olivier Bokanowski, Anna Désilles and
Hasnaa Zidani

december, 2016

Publication type:

International conference with proceedings

Conference:

IEEE 55th Conference on Decision and Control (CDC), 2016

DOI:

10.1109/CDC.2016.7798815

HAL:

hal-01484196

Keywords :

Aircraft, Trajectory, Force, Optimal control, Mathematical model, Aerodynamics, Jacobian matrices

Abstract:

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},
}