Generation of Curvature Continuous Trajectories for Transport Aircraft using Bezier Curves

Héctor Escamilla Núñez (1) , Felix Mora-Camino (1)

1 ENAC - Ecole Nationale de l'Aviation Civile

With the increase in air traffic, better management and organization of it is crucial for increasing traffic safety and airspace capacity. Hence the need of ad-hoc descriptions of more complex and flexible aircraft trajectories, allowing high traffic densities and limiting environmental impact. The approach consists of a smooth 4D path generation from pre-existing control points by stitching several Bezier curves while assuring G 2 continuity at the joints. Also, as the Euclidian distance between control points and the proposed trajec-tory is controlled by an optimal reshaping of the trajectory, the tradeoff between curvature-speed-load factor of the trajectory is considered. The generated trajectories are meant to be a complement to regular flight plans, helping to solve air traffic conflicts and enhance air capacity by better timing. Matlab simulations corroborate the feasibility of the approach, showing promising results when a distance range is defined for the reshaping algorithm.

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

Héctor Escamilla Núñez, Felix Mora-Camino. Generation of Curvature Continuous Trajectories for Transport Aircraft using Bezier Curves. NTCA 2017, 19th International Conference on New Trends in Civil Aviation, Dec 2017, Prague, Czech Republic. pp.7 / ISBN: 9780815376026, ⟨10.1201/9781351238649⟩. ⟨hal-01631386⟩