# Multiphase Mixed-Integer Optimal Control Approach to Comercial Aircraft Trajectory Optimization

## Repositorio e-Archivo

 dc.contributor.author Bonami, Pierre dc.contributor.author Olivares, Alberto dc.contributor.author Soler, Manuel dc.contributor.author Staffetti, Ernesto dc.date.accessioned 2015-06-02T10:22:10Z dc.date.available 2015-06-02T10:22:10Z dc.date.issued 2013-09 dc.identifier.bibliographicCitation Journal of Guidance, Control, and Dynamics (2013). 36(5), 1267-1277. dc.identifier.issn 0731-5090 (print) dc.identifier.issn 1533-3884 (online) dc.identifier.uri http://hdl.handle.net/10016/20896 dc.description.abstract In this paper, an approach to aircraft trajectory optimization is presented in which integer and continuous variables are considered. Integer variables model decision-making processes, and continuous variables describe the state of the aircraft, which evolves according to differential-algebraic equations. The problem is formulated as a multiphase mixed-integer optimal control problem. It is transcribed into a mixed-integer nonlinear programming problem by applying a fifth degree Gauss&-Lobatto direct collocation method and is then solved using a nonlinear- programming-based branch-and-bound algorithm. The approach is applied to the following en route flight planning problem: Given an aircraft point mass model, a wind forecast, an airspace structure, and the relevant flying information regions with their associated overflying costs, find the control inputs that steer the aircraft from the initial fix to the final fix, following a route of waypoints while minimizing the fuel consumption and overflying costs during the flight. The decision-making process arises in determining the optimal sequence of waypoints. The optimal times at which the waypoints are to be overflown are also to be determined. Numerical results are presented and discussed, showing the effectiveness of the approach. dc.format.extent 11 dc.format.mimetype application/pdf dc.language.iso eng dc.publisher American Institute of Aeronautics and Astronautics, Inc. dc.rights © 2013 by Pierre Bonami, Alberto Olivares, Manuel Soler, and Ernesto Staffetti. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. dc.subject.other Mixed-integer non-linear program dc.subject.other Mixed-integer optimal control dc.subject.other Aircraft Trajectory optimization dc.title Multiphase Mixed-Integer Optimal Control Approach to Comercial Aircraft Trajectory Optimization dc.type article dc.description.status Publicado dc.relation.publisherversion http://dx.doi.org/10.2514/1.60492 dc.subject.eciencia Aeronáutica dc.identifier.doi 10.2514/1.60492 dc.rights.accessRights openAccess dc.type.version acceptedVersion dc.identifier.publicationfirstpage 1267 dc.identifier.publicationissue 5 dc.identifier.publicationlastpage 1277 dc.identifier.publicationtitle Journal of Guidance, Control and Dynamics dc.identifier.publicationvolume 36 dc.identifier.uxxi AR/0000014538
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