Output regulation for all-pole and minimum phase LTI

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buir.advisorMorgül, Ömer
dc.contributor.authorSaldı, Naci
dc.date.accessioned2016-01-08T18:13:42Z
dc.date.available2016-01-08T18:13:42Z
dc.date.issued2010
dc.descriptionAnkara : The Department of Electrical and Electronics Engineering and the Institute of Engineering and Sciences of Bilkent University, 2010.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 2010.en_US
dc.descriptionIncludes bibliographical references leaves 124-128.en_US
dc.description.abstractIn this thesis, the problem of enabling the output of a system to track the reference signals and reject the disturbances created by the same exogenous system is considered. This problem is widely known as Output Regulation Problem. Firstly, we propose a method for all-pole LTI systems by using relative degree property and then we apply the same method for minimum phase LTI systems along with some modifications. In order to obtain controllers for a minimum phase LTI case, the system is converted into an all-pole system by employing the inverse system as the first part of the controller. Then using the method that we used in all-pole cases, we obtain the second part of the controller. Combining these two controllers gives us an overall controller which solves the output regulation problem. This method for LTI systems is then extended to all-pole and minimum phase LTV systems. However, in order to apply the same methodology we have to make some assumptions on LTV systems. For minimum phase cases, the normal form is obtained by applying certain Lyapunov transformations and then minimum phaseness is defined in accordance with the normal form. Furthermore we show that, similar to minimum phase LTI cases, pole / zero cancelations occur between the inverse system and the original system in minimum phase LTV cases. The method that we develop depends on analytical calculation of the controller and gives a certain degree of freedom to change the transient behavior of the system by only changing some controller parameters.en_US
dc.description.provenanceMade available in DSpace on 2016-01-08T18:13:42Z (GMT). No. of bitstreams: 1 0004071.pdf: 687064 bytes, checksum: 866e88db7bf29d4a6d92b373503d17c2 (MD5)en
dc.description.statementofresponsibilitySaldı, Nacien_US
dc.format.extentx, 128 leavesen_US
dc.identifier.itemidB122597
dc.identifier.urihttp://hdl.handle.net/11693/15114
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectOutput Regulationen_US
dc.subjectLyapunov Transformationen_US
dc.subjectInverse Systemen_US
dc.subjectPole / Zero Cancelationen_US
dc.subjectLTV Systemen_US
dc.subjectLTI Systemen_US
dc.subjectRelative Degreeen_US
dc.subjectMinimum Phaseen_US
dc.subjectAll-Poleen_US
dc.subjectDisturbance Rejectionen_US
dc.subjectTrackingen_US
dc.subject.lccTK5102.9 .S35 2010en_US
dc.subject.lcshSignal processing--Digital techniques.en_US
dc.subject.lcshControl theory.en_US
dc.subject.lcshAutomatic control.en_US
dc.subject.lcshSystem analysis.en_US
dc.titleOutput regulation for all-pole and minimum phase LTIen_US
dc.typeThesisen_US
thesis.degree.disciplineElectrical and Electronic Engineering
thesis.degree.grantorBilkent University
thesis.degree.levelMaster's
thesis.degree.nameMS (Master of Science)

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