Wind-Optimal Path Planning: Application to Aircraft Trajectories

Brunilde Girardet; Laurent Lapasset; Daniel Delahaye; Christophe Rabut

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

Abstract : 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.

Keywords : Obstacle avoidance aircraft trajectory wind path planning

Document type :

Conference papers

Domain :

Mathematics [math] / Optimization and Control [math.OC]

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