Application optimal control for a problem aircraft flight

Kahina Louadj (1) , Pierre Spitéri (2, 3) , Fethi Demin (4) , Mohamed Aidene (5) , Abdelkrim Nemra (4) , Frédéric Messine (6)

1 Université Akli Mohand Oulhadj Bouira (ALGERIA)
2 IRIT-TCI - Traitement et Compréhension d’Images
3 Toulouse INP - Institut National Polytechnique (Toulouse)
4 LRP - Laboratoire de robotique et de productique
5 L2CSP - Laboratoire de Conception et Conduite des systèmes de Production
6 LAPLACE-GREM3 - Groupe de Recherches en Electrodynamique

Our aim is to solve a problem of optimal control with free final time using the Pontryagin's maximum principle. As an illustration, we consider a navigation problem which is solved analytically and numerically by the shooting method in the case without constraint. The two approaches are compared. In the second case, we solve numerically the same problem with constraint on the state. At the end, we prove the convergence of the method for the second case.

Mots clés: Optimal control; Shooting method; Pontryaguin principle's

Domaines: Arithmétique des ordinateurs

Kahina Louadj, Pierre Spitéri, Fethi Demin, Mohamed Aidene, Abdelkrim Nemra, et al.. Application optimal control for a problem aircraft flight. Journal of Engineering Science and Technology Review, 2018, 11 (1), pp.156-164. ⟨10.25103/jestr.111.19⟩. ⟨hal-02089338⟩