Multiphase Mixed-Integer Optimal Control Approach to Aircraft Trajectory Optimization
- 1 September 2013
- journal article
- Published by American Institute of Aeronautics and Astronautics (AIAA) in Journal of Guidance, Control, and Dynamics
- Vol. 36 (5), 1267-1277
- https://doi.org/10.2514/1.60492
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.PublicadKeywords
This publication has 28 references indexed in Scilit:
- Framework for Aircraft Trajectory Planning Toward an Efficient Air Traffic ManagementJournal of Aircraft, 2012
- 4. The Optimal Control ProblemPublished by Society for Industrial & Applied Mathematics (SIAM) ,2010
- Three-Dimensional Trajectory Optimization Satisfying Waypoint and No-Fly Zone ConstraintsJournal of Guidance, Control, and Dynamics, 2009
- Multiple Method 2-D Trajectory Optimization Satisfying Waypoints and No-Fly Zone ConstraintsJournal of Guidance, Control, and Dynamics, 2008
- Optimal Reconfiguration of Spacecraft Formations Using the Gauss Pseudospectral MethodJournal of Guidance, Control, and Dynamics, 2008
- Hybrid Optimal Control Framework for Mission PlanningJournal of Guidance, Control, and Dynamics, 2005
- Pseudospectral Knotting Methods for Solving Nonsmooth Optimal Control ProblemsJournal of Guidance, Control, and Dynamics, 2004
- Trajectory Optimization for a Multi-Stage Launch Vehicle Using Time Finite Element and Direct Collocation MethodsEngineering Optimization, 2002
- Survey of Numerical Methods for Trajectory OptimizationJournal of Guidance, Control, and Dynamics, 1998
- Application of Direct Transcription to Commercial Aircraft Trajectory OptimizationJournal of Guidance, Control, and Dynamics, 1995