Optimal Control of Air Traffic Networks Using Continuous Flow Models

Abstract

n the National Airspace System using an Eulerian description of the network with hyperbolic partial dierential equations. Existence and uniqueness (well-posedness) of a solution to the system of partial dierential equations on a network is established. Subsequently, an optimal control problem is studied with the junction coecients as control variables. We use a fully discretised adjoint approach and we implement it on a network with 16 links and 5 junctions created from the enroute high altitude jetways between the Oakland and Salt Lake City air trac control centers. The aircraft flows on the final link of the network with and without control are compared and the results demonstrate the eciency of the method developed in the article.

Original document

The different versions of the original document can be found in:

• http://pdfs.semanticscholar.org/f900/d4b832f9af368deafa76fcca620dd1291e27.pdf

• http://arc.aiaa.org/doi/pdf/10.2514/6.2006-6228,

http://dx.doi.org/10.2514/6.2006-6228

• http://arc.aiaa.org/doi/pdfplus/10.2514/6.2006-6228,

http://bayen.eecs.berkeley.edu/sites/default/files/conferences/gnc06b.pdf,

https://academic.microsoft.com/#/detail/2318734441