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

Mohamed Assellaou 1 Olivier Bokanowski 2 Anna Désilles 1 Hasnaa Zidani 1
1 OC - Optimisation et commande
2 LJLL - Laboratoire Jacques-Louis Lions
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.
Keywords : trajectory reconstruction air- craft landing in windshear maximum running cost Hamilton-Jacobi approach state constraints
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Journal articles
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https://hal-ensta-paris.archives-ouvertes.fr//hal-01484190
Contributor : Hasnaa Zidani <>
Submitted on : Monday, March 6, 2017 - 10:01:06 PM
Last modification on : Wednesday, July 3, 2019 - 10:48:04 AM
Long-term archiving on: Wednesday, June 7, 2017 - 4:05:45 PM

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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. . ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2018, 52 (1), pp.305--335. ⟨10.1051/m2an/2017064⟩. ⟨hal-01484190⟩

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