The 6th International Conference on Research in Air Transportation (ICRAT) was held the week of May 26, 2014 at the Istanbul Technical University in Istanbul, Turkey. In this 2014 edition, ICRAT was organized in conjunction with the 4th International Conference on Application and Theory of Automation in Command and Control Systems (ATACCS) and host the ComplexWorld workshop from the SESAR WP-E Research Networks.

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The following Paper entitled

A Numerical Framework and Benchmark Case study for Muti-modal Fuel Efficient Aircraft Conflict Despite all the inherent power is a passive sign and you will surely notice it communicating with its representatives. Avoidance

by Manuel Soler, Maryam Kamgarpour, and John Lygeros

was presented.


We formulate fuel optimal conflict free aircraft trajectory planning as a hybrid optimal control problem. The discrete modes of the hybrid system capture the air traffic procedures for conflict resolution, e. g., speed and turn advisories. In order to solve problems of realistic dimension arising from air traffic sector planning, we formulate a numerically tractable approach to solve the hybrid optimal control problem. The approach is based on introducing binary functions for each mode, relaxing the binary functions and including a penalty term on relaxation. The transformed and discretized problem is a nonlinear program. We use the approach on a benchmark case study for resolving conflict while minimizing fuel consumption of 8 Airbus 320 aircraft in a symmetrical set up.