Title :
Continuous adjoint method for Air Traffic Flow Management
Author :
Strub, Issam S. ; Bayen, Alexandre M.
Author_Institution :
California Univ., Berkeley, CA
Abstract :
This article develops a model of air traffic flow using an Eulerian description with hyperbolic partial differential equations. Existence and uniqueness (well-posedness) of a solution to the system of partial differential equations on a network is established. Subsequently, an optimal control problem is studied with the junction coefficients as control variables. We use a continuous adjoint approach and we implement it on a network with 16 links and 5 junctions, demonstrating the computational efficiency of this method
Keywords :
air traffic control; hyperbolic equations; optimal control; partial differential equations; Eulerian description; air traffic flow management; computational efficiency; continuous adjoint method; hyperbolic partial differential equations; junction coefficients; optimal control problem; Air traffic control; Air transportation; Aircraft; Airports; Communication system traffic control; Lagrangian functions; Optimal control; Partial differential equations; Predictive models; Traffic control;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377458
