RAMIREZ, M. Juan Diego (2024) Optimal Guidance of Aerospace Vehicles via Singular Perturbations PFE - Project Graduation, ENSTA.
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Abstract
This study explores the application of analytical methods to the optimization of trajectories for various types of aerospace vehicles. While numerical methods have dominated recent approaches to trajectory optimization, this work revisits and extends analytical techniques, particularly those from singular perturbation theory. This report examines the application of these techniques to atmospheric re-entry trajectories. First, after a literature review, classical results on the analytical solutions of the trajectory are reproduced and their limitations and advantages are evaluated. Subsequently, a constructive method to reformulate the re-entry dynamics in a multi-scale fashion was successfully implemented. Finally, an analytical closed-form expression for an optimal control law was derived. Finally, this report suggests several potential directions for future research.
Item Type: | Thesis (PFE - Project Graduation) |
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Uncontrolled Keywords: | Guidance, Control, Aerospace, Singular Perturbations, Optimal Control, Space Shuttle |
Subjects: | Information and Communication Sciences and Technologies Mathematics and Applications |
ID Code: | 10490 |
Deposited By: | Juan RAMIREZ |
Deposited On: | 09 déc. 2024 17:05 |
Dernière modification: | 09 déc. 2024 17:05 |
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