Trajectory Optimization of Hypersonic Vehicles via a Radau Pseudospectral Method

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dc.contributor.advisorHeinkenschloss, Matthiasen_US
dc.creatorCangelosi, Jonathan Richarden_US
dc.date.accessioned2023-06-13T15:49:20Zen_US
dc.date.created2023-05en_US
dc.date.issued2023-03-09en_US
dc.date.submittedMay 2023en_US
dc.date.updated2023-06-13T15:49:20Zen_US
dc.description.abstractThis thesis presents a framework to solve optimal control problems for hypersonic mission design and to perform sensitivity analyses of the optimal trajectory. The framework discretizes the optimal control problem using Radau pseudospectral collocation and solves the resulting nonlinear program using an interior-point method. This discretization enables accurate approximation of continuous Lagrange multipliers via a costate mapping, which is important for discretization error and sensitivity analysis. An atmospheric re-entry problem in two-dimensional flight with pointwise state constraints, path constraints, and control via angle of attack is solved. Models for lift, drag, etc. in the dynamics are vehicle-dependent and ultimately need to be extracted from large-scale CFD simulations at suitably chosen flight configurations. Because these models are not exact, optimality sensitivity studies are performed. The framework is designed to support the ultimate goal of computing hypersonic vehicle mission designs with more complex surrogate models and using optimality sensitivity to construct surrogates.en_US
dc.embargo.lift2023-11-01en_US
dc.embargo.terms2023-11-01en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationCangelosi, Jonathan Richard. "Trajectory Optimization of Hypersonic Vehicles via a Radau Pseudospectral Method." (2023) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/114902">https://hdl.handle.net/1911/114902</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/114902en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjecttrajectoryen_US
dc.subjectoptimizationen_US
dc.subjectRadauen_US
dc.subjectpseudospectralen_US
dc.subjectcollocationen_US
dc.subjectoptimalen_US
dc.subjectcontrolen_US
dc.subjecthypersonicen_US
dc.subjectvehicleen_US
dc.subjectvehiclesen_US
dc.subjectsensitivityen_US
dc.subjectanalysisen_US
dc.titleTrajectory Optimization of Hypersonic Vehicles via a Radau Pseudospectral Methoden_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentComputational and Applied Mathematicsen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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