Soler Arnedo, Manuel FernandoKamgarpour, MaryamLloret del Hoyo, JavierLygeros, John2021-02-252021-02-252016-07-01Soler, M., Kamgarpour, M., Lloret, J. y Lygeros, J. (2016). A Hybrid Optimal Control Approach to Fuel Efficient Aircraft Conflict Avoidance. IEEE Transactions on Intelligent Transportation Systems, 17(7), pp. 1826 - 1838.1524-9050https://hdl.handle.net/10016/32020We 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. To solve problems of realistic dimensions 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 the relaxation. The transformed and discretized problem is a nonlinear program. We use the approach on a realistic case study with seven aircraft within an air traffic control sector, in which we find minimum-fuel conflict-free trajectories.14eng© 2016 IEEE.Hybrid optimal controlConflict detection and resolution algorithmsAir traffic controlresearch articleAeronáuticahttps://doi.org/10.1109/TITS.2015.2510824open access182671838IEEE Transactions on Intelligent Transportation Systems17AR/0000018161