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Sliding mode control for systems with slow and fast modes
Descriptive
TypeOfResource
Text
TitleInfo
(ID = T-1)
Title
Sliding mode control for systems with slow and fast modes
Identifier
ETD_2637
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000053125
Language
LanguageTerm
(authority = ISO639-2);
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eng
Genre
(authority = marcgt)
theses
Subject
(ID = SBJ-1);
(authority = RUETD)
Topic
Electrical and Computer Engineering
Subject
(ID = SBJ-2);
(authority = ETD-LCSH)
Topic
Sliding mode control
Abstract
(type = abstract)
This dissertation addresses the problems of sliding mode control for systems with slow and fast dynamics. A system using a sliding mode control strategy can display robust performances against parametric and exogenous disturbances under the matching condition (Drazenovic's condition). We investigate the problem of output feedback sliding mode control for sampled-data systems with an unknown external disturbance. Given an output sliding surface, we construct a discrete-time control law. Since the external disturbance in the control law is unknown, we approximate it by system information from the previous time instant. The synthesized control law provides promising results with high robustness against the external disturbance. These results are further improved by a method which better approximate the disturbance by system information from two previous time instants. The stability and robustness of the closed-loop system are analyzed by studying a transformed singularly perturbed discrete-time system. The second topic is to study sliding mode control for singularly perturbed systems which exhibit slow and fast dynamics. A state feedback control law is designed for either slow or fast modes. Then, the system under that state feedback control law is put into a triangular form. In the new coordinates, a sliding surface is constructed for the remaining modes using Utkin and Young's method. A sliding mode control law is synthesized by a method which is an improved version of the unit control method by Utkin. Lastly, a composite control law is synthesized from the two components. The topic is also addressed by Lyapunov approaches. A state feedback composite control law is designed to stabilize the system. Accordingly, Lyapunov functions are constructed to synthesize a sliding surface. Two sliding surfaces and two sliding mode controllers are proposed. Asymptotic stability and disturbance rejection are achieved. Sliding mode control for singularly perturbed discrete-time systems with parametric uncertainties is also investigated. Proceeding along the same lines as in the continuous-time case, we propose two approaches to construct a composite control law. It is shown that the closed-loop system under the proposed control laws is asymptotically stable provided the perturbation parameter is small enough.
PhysicalDescription
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electronic resource
Extent
xii, 128 p. : ill.
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application/pdf
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Note
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Ph.D.
Note
Includes abstract
Note
Vita
Note
(type = bibliography)
Includes bibliographical references
Note
(type = statement of responsibility)
by Thang Tien Nguyen
Name
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Nguyen
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Thang Tien
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1980-
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author
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Thang Nguyen
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Gajic
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Zoran
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chair
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Advisory Committee
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Zoran Gajic
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Pompili
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Dario
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internal member
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Advisory Committee
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Dario Pompili
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Spasojevic
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Predrag
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internal member
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Advisory Committee
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Predrag Spasojevic
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NamePart
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Su
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(type = given)
Wu-Chung
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outside member
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Advisory Committee
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Wu-Chung Su
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NamePart
Rutgers University
Role
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degree grantor
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Graduate School - New Brunswick
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school
OriginInfo
DateCreated
(qualifier = exact)
2010
DateOther
(qualifier = exact);
(type = degree)
2010
Place
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(type = code)
xx
RelatedItem
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TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier
(type = RULIB)
ETD
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(type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier
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rucore19991600001
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NjNbRU
Identifier
(type = doi)
doi:10.7282/T3WS8TBJ
Genre
(authority = ExL-Esploro)
ETD doctoral
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Rights
RightsDeclaration
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(ID = rulibRdec0006)
The author owns the copyright to this work.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
RightsHolder
(ID = PRH-1);
(type = personal)
Name
FamilyName
Nguyen
GivenName
Thang
Role
Copyright Holder
RightsEvent
(ID = RE-1);
(AUTHORITY = rulib)
Type
Permission or license
DateTime
2010-04-15 16:28:26
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Role
Copyright holder
Name
Thang Nguyen
Affiliation
Rutgers University. Graduate School - New Brunswick
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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.
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Technical
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ETD
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application/pdf
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application/x-tar
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1157120
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