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New methods for design of full- and reduced-order observers and observer-based controllers for systems with slow and fast modes

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Title
New methods for design of full- and reduced-order observers and observer-based controllers for systems with slow and fast modes
Name (type = personal)
NamePart (type = family)
Yoo
NamePart (type = given)
Heonjong
NamePart (type = date)
1984-
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Heonjong Yoo
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author
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Gajic Zoran
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Advisory Committee
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chair
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Zou
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Quingze
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Quingze Zou
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Advisory Committee
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internal member
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Baruh
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Haim
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Haim Baruh
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Advisory Committee
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internal member
Name (type = personal)
NamePart (type = family)
Yi
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Jingang
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Jingang Yi
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Advisory Committee
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internal member
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Borno
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Abraham
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Abraham Borno
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Advisory Committee
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outside member
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Rutgers University
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degree grantor
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Graduate School - New Brunswick
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Text
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theses
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DateCreated (qualifier = exact)
2017
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2017-05
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2017
Place
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xx
Language
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eng
Abstract (type = abstract)
This dissertation addresses the design of observer and observer-based controllers for singularly perturbed linear systems. To that end, we present an algorithm for the recursive solution of the singularly perturbed algebraic Sylvester equation. Due to the presence of a small singular perturbation parameter that indicates separation of the system variables into slow and fast, the corresponding algebraic Sylvester equation is numerically ill-conditioned. The observer driven controller design of singularly perturbed linear systems with the observer design done using the algebraic Sylvester equation is extremely ill-conditioned since the observer has to be much faster than the feedback system. The proposed method for the recursive reduced-order solution of the algebraic Sylvester equations removes ill-conditioning and iteratively obtains the solution in terms of four reduced-order numerically well-conditioned algebraic Sylvester equations corresponding to slow and fast variables. The convergence rate of the proposed algorithm is O( ), where is a small positive singular perturbation parameter. The new design technique for full-order Luenberger observers for systems with slow and fast modes is presented. The existing methods are able to design independent slow and fast observers with O( ) accuracy only, where is a small positive singular perturbation parameter. In this dissertation, the design of independent slow and fast reduced-order observers was performed with the exact accuracy. The results obtained are extended to the design of corresponding observer driven controllers. The design allows complete time-scale separation for both the observer and controller through the complete and exact decomposition into slow and fast time scale problems. This method reduces both off-line and on-line computations. The effectiveness of the new methods is demonstrated through both theoretical and simulation results. The results obtained for the full-order observer of singularly perturbed linear systems are extended to design of reduced-order observers (using both the Sylvester equation and Luenberger observer formulations) and the design of corresponding controllers for singularly perturbed systems. In such design additional computational advantages are achieved due to the use of the reduced order observers. Several cases of reduced-order observer designs are considered depending on the measured state space variables: only all slow variables are measured, only all fast variables are measured, some combinations of the slow and fast variables are measured.
Subject (authority = RUETD)
Topic
Electrical and Computer Engineering
RelatedItem (type = host)
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Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_8053
PhysicalDescription
Form (authority = gmd)
electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
1 online resource (xi, 142 p. : ill.)
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
Subject (authority = ETD-LCSH)
Topic
Linear systems
Note (type = statement of responsibility)
by Heonjong Yoo
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TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier (type = local)
rucore19991600001
Location
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NjNbRU
Identifier (type = doi)
doi:10.7282/T3B27Z78
Genre (authority = ExL-Esploro)
ETD doctoral
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The author owns the copyright to this work.
RightsHolder (type = personal)
Name
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Yoo
GivenName
Heonjong
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Copyright Holder
RightsEvent
Type
Permission or license
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2017-04-14 20:27:46
AssociatedEntity
Name
Heonjong Yoo
Role
Copyright holder
Affiliation
Rutgers University. Graduate School - New Brunswick
AssociatedObject
Type
License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
Copyright
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Copyright protected
Availability
Status
Open
Reason
Permission or license
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