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dc.contributor.advisorÖzgüler, A. Bülent
dc.contributor.authorSaadaoui, Karim
dc.date.accessioned2016-07-01T10:59:32Z
dc.date.available2016-07-01T10:59:32Z
dc.date.issued2003
dc.identifier.urihttp://hdl.handle.net/11693/29422
dc.descriptionCataloged from PDF version of article.en_US
dc.description.abstractIn this thesis, the problem of parameterizing stabilizing fixed-order controllers for linear time-invariant single-input single-output systems is studied. Using a generalization of the Hermite-Biehler theorem, a new algorithm is given for the determination of stabilizing gains for linear time-invariant systems. This algorithm requires a test of the sign pattern of a rational function at the real roots of a polynomial. By applying this constant gain stabilization algorithm to three subsidiary plants, the set of all stabilizing first-order controllers can be determined. The method given is applicable to both continuous and discrete time systems. It is also applicable to plants with interval type uncertainty. Generalization of this method to high-order controller is outlined. The problem of determining all stabilizing first-order controllers that places the poles of the closed-loop system in a desired stability region is then solved. The algorithm given relies on a generalization of the Hermite-Biehler theorem to polynomials with complex coefficients. Finally, the concept of local convex directions is studied. A necessary and sufficient condition for a polynomial to be a local convex direction of another Hurwitz stable polynomial is derived. The condition given constitutes a generalization of Rantzer’s phase growth condition for global convex directions. It is used to determine convex directions for certain subsets of Hurwitz stable polynomials.en_US
dc.description.statementofresponsibilitySaadaoui, Karimen_US
dc.format.extentxv, 139 leaves, illustrations, tablesen_US
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHermite-Biehler theoremen_US
dc.subjectLocal convex directionsen_US
dc.subjectRegional pole placementen_US
dc.subjectStabilizationen_US
dc.subjectStabilityen_US
dc.subjectFirst-order controllersen_US
dc.subject.lccQA871 .S23 2003en_US
dc.subject.lcshStability.en_US
dc.titleFixed order controller design via parametric methodsen_US
dc.typeThesisen_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.publisherBilkent Universityen_US
dc.description.degreePh.D.en_US
dc.identifier.itemidBILKUTUPB072417


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