Wind-Optimal Path Planning: Application to Aircraft Trajectories

Brunilde Girardet (1) , Laurent Lapasset (2) , Daniel Delahaye (3, 1) , Christophe Rabut (4)

1 MAIAA - ENAC - Laboratoire de Mathématiques Appliquées, Informatique et Automatique pour l'Aérien
2 Capgemini [Toulouse]
3 IMT - Institut de Mathématiques de Toulouse UMR5219
4 INSA Toulouse - Institut National des Sciences Appliquées - Toulouse

In this paper, an algorithm to plan a continuous wind-optimal path is proposed, and simulations are made for aircraft trajectories. We consider a mobile which can move in a two dimensional space. The mobile is controlled only by the heading direction, the speed of the mobile is assumed to be constant. The objective is to plan the optimal path avoiding obstacles and taking into account wind currents. The algorithm is based on Ordered Upwind Method which gives an optimality proof for the solution. The algorithm is then extended to spherical coordinates in order to be able to handle long paths.

Mots clés: Obstacle avoidance; path planning; wind; aircraft trajectory

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

Brunilde Girardet, Laurent Lapasset, Daniel Delahaye, Christophe Rabut. Wind-Optimal Path Planning: Application to Aircraft Trajectories. ICARCV’14, 13th International Conference on Control, Automation, Robotics and Vision, Dec 2014, Singapore, Singapore. ⟨hal-01129968⟩