Pontryagin maximum principle for optimal sampled-data control problems - Université Paris Cité Accéder directement au contenu
Communication Dans Un Congrès Année : 2015

Pontryagin maximum principle for optimal sampled-data control problems

Loïc Bourdin
Connectez-vous pour contacter l'auteur
DMI
Emmanuel Trélat

Résumé

In this short communication, we first recall a version of the Pontryagin maximum principle for general finite-dimensional nonlinear optimal sampled-data control problems. This result was recently obtained in [L. Bourdin and E. Trélat , Optimal sampled-data control, and generalizations on time scales, arXiv:1501.07361, 2015]. Then we discuss the maximization condition for optimal sampled-data controls that can be seen as an average of the weak maximization condition stated in the classical Pontryagin maximum principle for optimal (permanent) controls. Finally, applying this theorem, we solve a linear-quadratic example based on the classical parking problem.
Fichier principal
Vignette du fichier
BourdinTrelat-CAO2015.pdf (203.08 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01238220 , version 1 (09-12-2015)

Identifiants

Citer

Loïc Bourdin, Emmanuel Trélat. Pontryagin maximum principle for optimal sampled-data control problems. The 16th IFAC Workshop on Control Applications of Optimization (CAO'2015), Oct 2015, Garmisch-Partenkirchen, Germany. ⟨10.1016/j.ifacol.2015.11.063⟩. ⟨hal-01238220⟩
421 Consultations
262 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More