RT Conference Proceedings T1 Hybrid Optimal Control for Aircraft Trajectory Design with a Variable Sequence of Modes A1 Kamgarpour, Maryam A1 Soler, Manuel A1 Tomlin, Claire J. A1 Olivares, Alberto A1 Lygeros, John AB The problem of aircraft trajectory planning is formulated as a hybrid optimal control problem. The aircraft is modeled as a switched system, that is, a class of hybrid dynamical systems. The sequence of modes, the switching times, and the inputs for each mode are the control variables. An iterative bi-level optimization algorithm is employed to solve the optimal control problem. At the lower level, given a pre-de ned sequence of ight modes, the optimal switching times and the input for each mode are determined. This is achieved by extending the continuous state to include the switching times and then solving a conventional optimal control problem for the extended state. At the higher level, the algorithm modi es the mode sequence in order to decrease the value of the cost function. We illustrate the utility of the problem formulation and the solution approach with two case studies in which short horizon aircraft trajectories are optimized in order to reduce fuel burn while avoiding hazardous weather. PB Ifac Papers Online SN 978-3-902661-93-7 SN 1474-6670 YR 2011 FD 2011 LK https://hdl.handle.net/10016/21068 UL https://hdl.handle.net/10016/21068 LA eng NO Proceedings of: 18th World Congress of the International Federation of Automatic Control (IFAC). Milan, 29 August - 02 September 2011. NO This work was partially supported by AFOSR under grant FA9550-06-1-0312 and by the National Science and Engineering Research Council of Canada (NSERC); by the Spanish Government under ATLANTIDA project, and the European Union's FP7 for the Clean Sky JTI under grant 270624; and the European Commission under the project iFly, FP6-TREN-037180. DS e-Archivo RD 18 jul. 2024