Optimality based structured control of distributed parameter systems

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buir.advisorÖzbay, Hitay
dc.contributor.authorDemir, Okan
dc.date.accessioned2021-01-20T11:53:56Z
dc.date.available2021-01-20T11:53:56Z
dc.date.copyright2020-12
dc.date.issued2020-12
dc.date.submitted2021-01-19
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 Electronics Engineering, İhsan Doğramacı Bilkent University, 2020.en_US
dc.descriptionIncludes bibliographical references (leaves 72-78).en_US
dc.description.abstractThis thesis proposes a complete procedure to obtain static output feedback (SOF) controllers for large scale discrete time linear time invariant (LTI) systems by considering two criteria: (1) use a small number of actuators and sensors, (2) calculate a SOF gain that minimizes a quadratic cost of the states and the input. If the considered system is observable and stabilizable, the proposed procedure leads to a SOF gain which has a performance comparable to the linear quadratic regulator (LQR) problem in terms of the H2 norm of the closed loop system. When the system is not observable but detectable, only the observable part is considered. Since the structure of input and output matrices for the LTI system have a significant importance for the success of the proposed algorithm, an optimal actuator/sensor placement problem is considered first. This problem is handled by taking the final goal of SOF stabilization into account. In order to formulate the actuator/sensor placement as an optimization problem, a method to calculate the generalized Gramians of unstable discrete time LTI systems is developed. The results are demonstrated on a large scale flexible system and a biological network model.en_US
dc.description.degreePh.D.en_US
dc.description.statementofresponsibilityby Okan Demiren_US
dc.format.extentx, 78 leaves : charts ; 30 cm.en_US
dc.identifier.itemidB125703
dc.identifier.urihttp://hdl.handle.net/11693/54900
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectStatic output feedbacken_US
dc.subjectFixed-order controlleren_US
dc.subjectOptimal actuator/sensor placementen_US
dc.subjectSpatially distributed parameter systemsen_US
dc.subjectApproximate dynamic programmingen_US
dc.titleOptimality based structured control of distributed parameter systemsen_US
dc.title.alternativeDağıtık parametreli sistemlerin eniyilik ölçütü odaklı yapısal kontrolüen_US
dc.typeThesisen_US

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