A comparison of transcription techniques for the optimal control of the International Space Station

dc.contributor.advisorHeinkenschloss, Matthiasen_US
dc.creatorReeger, Jonahen_US
dc.date.accessioned2018-12-03T18:33:01Zen_US
dc.date.available2018-12-03T18:33:01Zen_US
dc.date.issued2009en_US
dc.description.abstractThe numerical solution of Optimal Control Problems has received much attention over the past few decades. In particular, direct transcription methods have been studied because of their convergence properties for even relatively poor guesses at the solution. This thesis explores two of these techniques—Legendre-Gauss-Lobatto (LGL) Pseudospectral (PS) Collocation and Multiple Shooting (MS), and draws distinct comparisons between the two, allowing the reader to decide which would be better applied to a particular application. Specifically, comparisons will be made on accuracy, computation time, adjoint estimation, and storage requirements. It will be shown that the most distinct advantage for LGL PS collocation and MS methods will lie in computation time and storage requirements, respectively, using a nonlinear interior-point method described in this thesis.en_US
dc.format.extent160 ppen_US
dc.identifier.callnoTHESIS MATH. SCI. 2009 REEGERen_US
dc.identifier.citationReeger, Jonah. "A comparison of transcription techniques for the optimal control of the International Space Station." (2009) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/103719">https://hdl.handle.net/1911/103719</a>.en_US
dc.identifier.digital748312873en_US
dc.identifier.urihttps://hdl.handle.net/1911/103719en_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.subjectApplied Mathematicsen_US
dc.subjectMathematicsen_US
dc.subjectAerospace engineeringen_US
dc.subjectApplied sciencesen_US
dc.subjectPure sciencesen_US
dc.titleA comparison of transcription techniques for the optimal control of the International Space Stationen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematical Sciencesen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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