Professor Daniel Delahaye, Applied Mathematics Laboratory, French National School of Civil Aviation
Monday, May 21, 2012, 4:00 PM to 5:00 PM
Location: Engineering 2, Room 180
Hosted By Assistant Professor Qi Gong

Abstract

This talk presents different mathematical tools for aircraft trajectory modeling and design. Trajectories are objects belonging to spaces with infinite dimensions. Thus one must develop methods to reduce the dimension in order to allow computers to manipulate such objects (Bezier curves, polynomial basis, splines,B-splines, ...). We then present some algorithms for trajectory design based on optimization approaches and wave front propagation. Finally, some  applications are given for the following air traffic management framework:

• Strategic planning  (large scale trajectory planning
• Pre-tactical planning (weather avoidance, congestion reduction)
• Tactical planning (conflict detection and resolution algorithms).

Biography

Daniel Delahaye: Professor Daniel Delahaye is a researcher at the Air Navigation Research Center since 1992. He obtained his engineering degree from the ENAC (French National School of Civil Aviation)  and did a Master of Science in signal processing from the national polytechnic institute of Toulouse in 1991. He obtained his PH.D in automatic control from the aeronautic and space national school in 1995 and did a postdoc in the Department of Aeronautics and Astronautics at MIT in 1996 with Prof. A.Odoni. He is now working in the Applied Mathematics Laboratory at ENAC and is conducting research on stochastic optimization for airspace design and large scale traffic assignment. He mainly works on infinite dimension space optimization with application on aircraft trajectory design.