Optimum continuous control by a method of parameterization

Simple item page
dc.contributor.advisorDawkins, George S.
dc.contributor.committeeMemberChilds, S. Bart
dc.contributor.committeeMemberRhodes, Benjamin T., Jr.
dc.contributor.committeeMemberDonaghey, Charles E.
dc.contributor.committeeMemberLewallen, Jay M.
dc.creatorTarbet, James Denton
dc.date.accessioned2022-10-28T16:33:24Z
dc.date.available2022-10-28T16:33:24Z
dc.date.issued1971
dc.description.abstractA method is developed in this thesis which utilizes a parameter search iteration scheme to determine the continuous control which will yield an optimal cost for a multistage process. The method of parameterization presented is defined to be a technique which considers the state at any stage of the process to be a function of the state at the preceding stage, the process equations derived for the control variables, and the parameters which are chosen to yield extremal values of some cost model. The free parameters are the initial conditions for the process equations of control and the duration of the process. The process equations for the control are obtained by applying the necessary conditions for optimality and converting the problem to a two point boundary value problem. The parameters (the missing initial conditions and the duration of the process) are determined by numerically selecting a set of values such that the sum of the squares of the dissatisfactions in meeting the necessary conditions for optimality and the boundary conditions is minimized. The problems of multiburn spacecraft transfers can be solved by using the method of parameterization. An obstacle to obtaining optimal control for such problems is the discontinuity in the control which occurs when the engine is shut down or restarted. For such cases the method of parameterization converges to an optimal cost with little sensitivity to errors in the assumed initial conditions for the free parameters. [...]
dc.description.departmentIndustrial Engineering, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other13866375
dc.identifier.urihttps://hdl.handle.net/10657/12494
dc.language.isoen
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.titleOptimum continuous control by a method of parameterization
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.collegeCullen College of Engineering
thesis.degree.departmentIndustrial Engineering, Department of
thesis.degree.disciplineIndustrial Engineering
thesis.degree.grantorUniversity of Houston
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
Tarbet_1971_13866375.pdf
Size:
2.69 MB
Format:
Adobe Portable Document Format
Download

Collections

Legacy Theses and Dissertations (1940-2009)