Application Optimal Control for a Problem Aircraft Flight
Université de Bouira. Faculté des Sciences et Sciences appliquées. Département de Mathématiques. Algérie., L. Kahina, Laboratoire de Conception et Conduite de Systèmes de Production (L2CSP) Tizi-Ouzou, Algeria., P. Spitéri, ENSEEIHT-IRIT, Université de Toulouse, France., Fethi Demim, Laboratoire Robotique et Productique, Ecole Militaire Polytechnique, Bordj El Bahri, Alger. Algérie., Mohamed Aidène, Laboratoire de Conception et Conduite de Systèmes de Production (L2CSP) Tizi-Ouzou, Algeria., Abdelkrim Nemra, Laboratoire Robotique et Productique, Ecole Militaire Polytechnique, Bordj El Bahri, Alger. Algérie., Frédéric Messine, ENSEEIHT-Laplace, Université de Toulouse, France. · Journal of Engineering Science and Technology Review · 2018
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.