[Legacy Report] IEEE CIS Seminar: Mathematical Models for Aircraft Trajectory Design
Abstract: Air traffic management ensures the safety of flight by optimizing flows and maintaining separation between aircraft. After giving some definitions, some typical feature of aircraft trajectories are presented. Trajectories are objects belonging to spaces with infinite dimensions. The naive way to address such problem is to sample trajectories at some regular points and to create a big vector of positions (and or speeds). In order to manipulate such objects with algorithms, one must reduce the dimension of the search space by using more efficient representations. Some dimension reduction tricks are then presented for which advantages and drawbacks are presented. Then, front propagation approaches are introduced with a focus on Fast Marching Algorithms and Ordered upwind algorithms. Applications of such tools to the following problems are then presented :
•Large scale trajectory planning (continental and oceanic) •Wind optimal trajectory design •Tactical trajectory planning
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Mathematical Models for Aircraft Trajectory Design
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Address:France