Analysis and design of switching and fuzzy systems

buir.advisorMorgül, Ömer
dc.contributor.authorAkgül, Murat
dc.date.accessioned2017-12-12T11:04:42Z
dc.date.available2017-12-12T11:04:42Z
dc.date.copyright2002-09
dc.date.issued2002-09
dc.date.submitted2002-09
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionCataloged from PDF version of article.en_US
dc.descriptionThesis (Ph.D.): Bilkent University, Department of Electrical and Electronic Engineering, İhsan Doğramacı Bilkent University, 2002.en_US
dc.descriptionIncludes bibliographical references (leaves 148-156).en_US
dc.description.abstractIn this thesis we consider the controller design problems for switching and fuzzy systems. In switching systems, the system dynamics and/or control input take dierent forms in different parts of the underlying state space. In fuzzy systems, the system dynamics and/or control input consist of certain logical expressions. From this point of view, it is reasonable to expect certain similarities between these systems. We show that under certain conditions, a switching system may be converted into an equivalent fuzzy system. While the changes in the system variables in a switching system may be abrupt, such changes are typically smooth in a fuzzy system. Therefore obtaining such an equivalent fuzzy system may inherit the stability properties of the original switching system while smoothing the system dynamics. Motivated from this idea we propose various switching strategies for certain classes of nonlinear systems and provide some stability results. Due to the dificulties in designing such switching rules for nonlinear systems, most of the results are developed for certain specific type of systems. Due to the logical structure, obtaining rigorous stability results are very difficult for fuzzy systems. We propose a fuzzy controller design method and prove a stability result under certain conditions. The proposed method may also be applied to function approximation. We also consider a different stabilization method, namely phase portrait matching, in which the main aim is to choose the control input appropriately so that the dynamics of the closed-loop system is close to a given desired dynamics. If this is achieved, then the phase portrait of the closed-loop system will also be close to a desired phase portrait. We propose various schemes to achieve this task.en_US
dc.description.degreePh.D.en_US
dc.description.provenanceSubmitted by Betül Özen (ozen@bilkent.edu.tr) on 2017-12-12T11:04:42Z No. of bitstreams: 1 0002171.pdf: 2582870 bytes, checksum: cfc4e50cebe5b0d47de805e84e293b5b (MD5)en
dc.description.provenanceMade available in DSpace on 2017-12-12T11:04:42Z (GMT). No. of bitstreams: 1 0002171.pdf: 2582870 bytes, checksum: cfc4e50cebe5b0d47de805e84e293b5b (MD5) Previous issue date: 2002-09en
dc.description.statementofresponsibilityby Murat Akgül.en_US
dc.format.extentxx, 157 leaves : illustrations ; 30 cmen_US
dc.identifier.itemidBILKUTUPB068140
dc.identifier.urihttp://hdl.handle.net/11693/35668
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFuzzy systemsen_US
dc.subjectSwitching systemsen_US
dc.subjectStabilizationen_US
dc.subjectController designen_US
dc.subjectDriftless systemsen_US
dc.subjectPhase portrait matchingen_US
dc.subjectLyapunov functionsen_US
dc.subjectPeriodic switchingen_US
dc.subject.lccQA402.3 .A34 2002en_US
dc.titleAnalysis and design of switching and fuzzy systemsen_US
dc.title.alternativeAnahtarlamalı ve bulanık sistemlerin analizi ve tasarımıen_US
dc.typeThesisen_US

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