Optimal control approaches for aircraft conflict avoidance using speed regulation : a numerical study

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

1 MAIA-OPTIM - ENAC Equipe MAIAA-OPTIM
2 MAIAA - ENAC - Laboratoire de Mathématiques Appliquées, Informatique et Automatique pour l'Aérien
3 ENSEEIHT - Ecole Nationale Supérieure d'Electrotechnique, d'Electronique, d'Informatique, d'Hydraulique et de Télécommunications

In this paper a numerical study is provided to solve the aircraft conflict avoidance problem through velocity regulation maneuvers. Starting from optimal controlbased model and approaches in which aircraft accelerations are the controls, and by applying the direct shooting technique, we propose to study two different largescale nonlinear optimization problems. In order to compare different possibilities of implementation, two environments (AMPL and MATLAB) and deterministic local optimization solvers are used. Numerical results are discussed. They show that the considered problem is really difficult to solve to global optimality, as different local minima are found using different methods.

Mots clés: air traffic management; conflict avoidance; speed regulation; optimal control; Pontryagin's maximum principle; interior point-based solvers; numerical study

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

Loïc Cellier, Sonia Cafieri, Frédéric Messine. Optimal control approaches for aircraft conflict avoidance using speed regulation : a numerical study. ISIATM 2013, 2nd International Conference on Interdisciplinary Science for Innovative Air Traffic Management, Jul 2013, Toulouse, France. ⟨hal-00867935⟩