First Order Hadamard Variation of the Harmonic Navigation Function on a Sphere World

Mathematical and Computational Applications

Dufour, Guillaume¹  Santos, Isabelle²  Puechmorel, Stéphane³ 

[1] Author to whom correspondence should be addressed.;Ecole Nationale de l’Aviation Civile (ENAC),Université de Toulouse, 31400 Toulouse, France;Office National d’Etudes et de Recherches Aérospatiales (ONERA), 31000 Toulouse, France

关键词: navigation function;    Hadamard formula;    trajectory planning;    air traffic control;   

DOI  :  10.3390/mca23030048

学科分类：计算数学

来源: mdpi

【 摘 要 】

Planning conflict-free trajectories is a long-standing problem in Air Traffic Management. Navigation functions designed specifically to produce flyable trajectories have been previously considered, but lack the robustness to uncertain weather conditions needed for use in an operational context. These uncertainties can be taken into account be modifying the boundary of the domain on which the navigation function is computed. In the following work, we present a method for efficiently taking into account boundary variations, using the Hadamard variation.

【 授权许可】

CC BY