Continuous Adjoint Method for Air Traffic Flow Management

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

Author: 
Strub, Issam S.
Bayen, Alexandre M.
Publication date: 
December 1, 2006
Publication type: 
Conference Paper
Citation: 
Strub, I. S., & Bayen, A. M. (2006). Continuous Adjoint Method for Air Traffic Flow Management. Proceedings of the 45th IEEE Conference on Decision and Control, 101–106. https://doi.org/10.1109/CDC.2006.377458