Model validation and consistency

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dc.contributor.advisorAntoulas, Athanasios C.en_US
dc.creatorGugercin, Serkanen_US
dc.date.accessioned2009-06-04T06:27:21Zen_US
dc.date.available2009-06-04T06:27:21Zen_US
dc.date.issued2000en_US
dc.description.abstractThis thesis addresses model validation, important in robust control system modeling, for the identification method developed by Antoulas. Given a system model, the problem is to assess whether the model is consistent with the data. This work formulates the validation problem in the form of a quadratic optimization problem subject to a spherical constraint. This new, computationally tractable method allows us to find a necessary and sufficient condition on the energy of the input sequence required to invalidate a given model. Therefore, for a given energy level, not all the models can be invalidated. For fixed noise level, the set of invalidatable models decreases as the energy of the input sequence decreases. Moreover, even if infinite length measurements are taken, the set of plants which cannot be invalidated does not shrink to the true model. The true model, in addition, can never be invalidated using an input of finite energy.en_US
dc.format.extent78 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS E.E. 2000 GUGERCINen_US
dc.identifier.citationGugercin, Serkan. "Model validation and consistency." (2000) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/17338">https://hdl.handle.net/1911/17338</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/17338en_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.subjectMathematicsen_US
dc.subjectElectronicsen_US
dc.subjectElectrical engineeringen_US
dc.subjectMechanical engineeringen_US
dc.titleModel validation and consistencyen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentElectrical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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