Hybridizing direct and indirect optimal control approaches for aircraft conflict avoidance

Loïc Cellier (1) , Sonia Cafieri (1) , Frédéric Messine (2, 3)

1 MAIAA - ENAC - Laboratoire de Mathématiques Appliquées, Informatique et Automatique pour l'Aérien
2 ENSEEIHT - Ecole Nationale Supérieure d'Electrotechnique, d'Electronique, d'Informatique, d'Hydraulique et de Télécommunications
3 IRIT-APO - Algorithmes Parallèles et Optimisation

Aircraft conflict avoidance is a crucial issue arising in air traffic management. The problem is to keep a given separation distance for aircraft along their trajectories. We focus on an optimal control model based on speed regulation to achieve aircraft separation. We propose a solution strategy based on the decomposition of the problem and on the hybridization of a direct and an indirect method applied on the obtained subproblems. Numerical results show that the proposed approach is promising in terms of reduction of computing time for conflict avoidance.

Mots clés: air traffic management; conflict avoidance; speed regulation; optimal control; Pontryagin's maximum principle

Domaines: Mathématiques [math]; Optimisation et contrôle [math.OC]

Loïc Cellier, Sonia Cafieri, Frédéric Messine. Hybridizing direct and indirect optimal control approaches for aircraft conflict avoidance. ADVCOMP 2012, Sixth International Conference on Advanced Engineering Computing and Applications in Sciences, Sep 2012, Barcelona, Spain. pp 42-45. ⟨hal-00938826⟩