Value function and optimal trajectories for a maximum running cost control problem with state constraints. Application to an abort landing problem.

Abstract : The aim of this article is to study the Hamilton Jacobi Bellman (HJB) approach for state-constrained control problems with maximum cost. In particular, we are interested in the characterization of the value functions of such problems and the analysis of the associated optimal trajectories, without assuming any controllability assumption. The rigorous theoretical results lead to several trajectory reconstruction procedures for which convergence results are also investigated. An application to a five-state aircraft abort landing problem is then considered, for which several numerical simulations are performed to analyse the relevance of the theoretical approach.
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Pré-publication, Document de travail
2017
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https://hal-ensta.archives-ouvertes.fr/hal-01484190
Contributeur : Hasnaa Zidani <>
Soumis le : lundi 6 mars 2017 - 22:01:06
Dernière modification le : vendredi 10 mars 2017 - 01:08:24

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  • HAL Id : hal-01484190, version 1

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Mohamed Assellaou, Olivier Bokanowski, Anna Désilles, Hasnaa Zidani. Value function and optimal trajectories for a maximum running cost control problem with state constraints. Application to an abort landing problem. . 2017. <hal-01484190>

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