RT Journal Article T1 A hybrid optimal control approach to fuel-efficient aircraft conflict avoidance A1 Soler Arnedo, Manuel Fernando A1 Kamgarpour, Maryam A1 Lloret del Hoyo, Javier A1 Lygeros, John AB 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. 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. PB IEEE SN 1524-9050 YR 2016 FD 2016-07-01 LK https://hdl.handle.net/10016/32020 UL https://hdl.handle.net/10016/32020 LA eng NO Paper supported by the Spanish Ministry of Economy and Competitiveness via project TRA2014-58413-C2-2-R. DS e-Archivo RD 1 sept. 2024