Calcul des trajectoires utilisant les algorithmes génétiques en trois dimensions pour un avion modélisé en six dimensions

Abstract

Nowadays in aeronautics, the calculation of trajectories becomes more and more precise. In fact, with this higher precision, comes our knowledge of aircraft’s position, its fuel’s consumption, and conflicts with other planes: in other words its flight’s envelope. The flight space becomes more and more saturated and the standards concerning the pollution tighter, the precision in trajectories’ prediction is a burning issue. The disadvantage of most methods used until now is their limitation concerning the number of the constraints, which are more and more numerous. The purpose of the project consists in computing of an aeronautical trajectory in three dimensions (latitude, longitude, altitude) for an aircraft modelized in six dimensions (spatial movements in latitude, longitude, altitude and angles of roll, pitch, yaw)according to multiple constraints (viability of the device, the adjustment of altitude). In order to answer this problem we used a method of optimization by genetic algorithms. The advantage of such algorithms is that we can optimize a problem following a large number of constraints which can result from different disciplines (in our case: structure of the aircraft, corrections of trajectories). The obtained results allowed us to draw optimized trajectories following six constraints. 1) the link of waypoints, 2) the adjustment of altitude, 3) the evolution of the horizontal road, 4) the angle of arrival on the waypoints, 5) the viability of the aircraft, 6) the non-overtaking of trajectory …

Date	22 Apr 2010
Original language	French
Awarding Institution	École de technologie supérieure
Supervisor	Ruxandra Botez (Supervisor)