A Modified Dynamic Programming Approach for 4D Minimum Fuel and Emissions Trajectory Optimization

4D flight trajectory optimization is an essential component to improve flight efficiency and to enhance air traffic capacity. this technique not only helps to reduce the operational costs, but also helps to reduce the environmental impact caused by the airliners. This study considers Dynamic Program...

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Main Authors: Kawser Ahmed, Kouamana Bousson, Milca de Freitas Coelho
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Aerospace
Subjects:
Online Access:https://www.mdpi.com/2226-4310/8/5/135
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author Kawser Ahmed
Kouamana Bousson
Milca de Freitas Coelho
author_facet Kawser Ahmed
Kouamana Bousson
Milca de Freitas Coelho
author_sort Kawser Ahmed
collection DOAJ
description 4D flight trajectory optimization is an essential component to improve flight efficiency and to enhance air traffic capacity. this technique not only helps to reduce the operational costs, but also helps to reduce the environmental impact caused by the airliners. This study considers Dynamic Programming (DP), a well-established numerical method ideally suited to solve 4D flight Trajectory Optimization Problems (TOPs). However, it bears some shortcomings that prevent the use of DP in many practical real-time implementations. This paper proposes a Modified Dynamic Programming (MDP) approach that reduces the computational effort and overcomes the drawbacks of the traditional DP. In this paper, two numerical examples with fixed arrival times are presented, where the proposed MDP approach is successfully implemented to generate optimal trajectories that minimize aircraft fuel consumption and emissions. Then the obtained optimal trajectories are compared with the corresponding reference commercial flight trajectory for the same route in order to quantify the potential benefit of reduction of aircraft fuel consumption and emissions.
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spelling doaj.art-2aaf32713c1649a2b14f39c35f1ffc512023-11-21T19:11:57ZengMDPI AGAerospace2226-43102021-05-018513510.3390/aerospace8050135A Modified Dynamic Programming Approach for 4D Minimum Fuel and Emissions Trajectory OptimizationKawser Ahmed0Kouamana Bousson1Milca de Freitas Coelho2LAETA/UBI AeroG, Laboratory of Avionics and Control, Department of Aerospace Sciences, University of Beira Interior, 6201-001 Covilhã, PortugalLAETA/UBI AeroG, Laboratory of Avionics and Control, Department of Aerospace Sciences, University of Beira Interior, 6201-001 Covilhã, PortugalLAETA/UBI AeroG, Laboratory of Avionics and Control, Department of Aerospace Sciences, University of Beira Interior, 6201-001 Covilhã, Portugal4D flight trajectory optimization is an essential component to improve flight efficiency and to enhance air traffic capacity. this technique not only helps to reduce the operational costs, but also helps to reduce the environmental impact caused by the airliners. This study considers Dynamic Programming (DP), a well-established numerical method ideally suited to solve 4D flight Trajectory Optimization Problems (TOPs). However, it bears some shortcomings that prevent the use of DP in many practical real-time implementations. This paper proposes a Modified Dynamic Programming (MDP) approach that reduces the computational effort and overcomes the drawbacks of the traditional DP. In this paper, two numerical examples with fixed arrival times are presented, where the proposed MDP approach is successfully implemented to generate optimal trajectories that minimize aircraft fuel consumption and emissions. Then the obtained optimal trajectories are compared with the corresponding reference commercial flight trajectory for the same route in order to quantify the potential benefit of reduction of aircraft fuel consumption and emissions.https://www.mdpi.com/2226-4310/8/5/1354D flight trajectorytrajectory optimizationdynamic programmingfuel-efficientaircraft emissions
spellingShingle Kawser Ahmed
Kouamana Bousson
Milca de Freitas Coelho
A Modified Dynamic Programming Approach for 4D Minimum Fuel and Emissions Trajectory Optimization
Aerospace
4D flight trajectory
trajectory optimization
dynamic programming
fuel-efficient
aircraft emissions
title A Modified Dynamic Programming Approach for 4D Minimum Fuel and Emissions Trajectory Optimization
title_full A Modified Dynamic Programming Approach for 4D Minimum Fuel and Emissions Trajectory Optimization
title_fullStr A Modified Dynamic Programming Approach for 4D Minimum Fuel and Emissions Trajectory Optimization
title_full_unstemmed A Modified Dynamic Programming Approach for 4D Minimum Fuel and Emissions Trajectory Optimization
title_short A Modified Dynamic Programming Approach for 4D Minimum Fuel and Emissions Trajectory Optimization
title_sort modified dynamic programming approach for 4d minimum fuel and emissions trajectory optimization
topic 4D flight trajectory
trajectory optimization
dynamic programming
fuel-efficient
aircraft emissions
url https://www.mdpi.com/2226-4310/8/5/135
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