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Title: Discrete-time neural network output feedback control of nonlinear discrete-time systems in non-strict form
Author (s): Vance, Jonathan Blake
Sarangapani, Jagannathan
Department/Lab Affiliations: Computer Science
Electrical and Computer Engineering
Engineering Management & Systems Engineering
Intelligent Systems Center
Keywords: discrete-time control
neural network control
non-strict feedback nonlinear system
output feedback control
Issue Date: 2008-04
Publisher: Elsevier
Citation: J. Vance and S. Jagannathan," Discrete-time neural network output feedback control of nonlinear discrete-time systems in non-strict form", Automatica, Vol. 44(4), 2008.
Abstract: An adaptive neural network (NN)-based output feedback controller is proposed to deliver a desired tracking performance for a class of discrete-time nonlinear systems, which are represented in non-strict feedback form. The NN backstepping approach is utilized to design the adaptive output feedback controller consisting of: (1) an NN observer to estimate the system states and (2) two NNs to generate the virtual and actual control inputs, respectively. The non-causal problem encountered during the control design is overcome by using a dynamic NN which is constructed through a feedforward NN with a novel weight tuning law. The separation principle is relaxed, persistency of excitation condition (PE) is not needed and certainty equivalence principle is not used. The uniformly ultimate boundedness (UUB) of the closed-loop tracking error, the state estimation errors and the NN weight estimates is demonstrated. Though the proposed work is applicable for second order nonlinear discrete-time systems expressed in non-strict feedback form, the proposed controller design can be easily extendable to an nth order nonlinear discrete-time system.
Type: Article - Journal
text
In Title: Automatica
Copyright Notice: Pre-print: author can archive with restrictions;Restriction: This does not include Cell Press; Post-print: author can archive;
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
FULL COPYRIGHT INFORMATION:
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Publisher URL:
http://dx.doi.org/10.1016/j.automatica.2007.08.008
Link to this page:
http://scholarsmine.mst.edu/post_prints/Discrete-TimeNeuralNetworkOutputFeedbackCon_09007dcc805310c0.html



titleDiscrete-time neural network output feedback control of nonlinear discrete-time systems in non-strict form
contributor.authorVance, Jonathan Blake
contributor.authorSarangapani, Jagannathan
contributor.deptlabComputer Science
contributor.deptlabElectrical and Computer Engineering
contributor.deptlabEngineering Management & Systems Engineering
contributor.deptlabIntelligent Systems Center
contributor.sponsorNational Science Foundation
subjectdiscrete-time control
subjectneural network control
subjectnon-strict feedback nonlinear system
subjectoutput feedback control
date.issued2008-04
publisherElsevier
identifier.citationJ. Vance and S. Jagannathan," Discrete-time neural network output feedback control of nonlinear discrete-time systems in non-strict form", Automatica, Vol. 44(4), 2008.
identifier.pub.URI
http://dx.doi.org/10.1016/j.automatica.2007.08.008
description.abstractAn adaptive neural network (NN)-based output feedback controller is proposed to deliver a desired tracking performance for a class of discrete-time nonlinear systems, which are represented in non-strict feedback form. The NN backstepping approach is utilized to design the adaptive output feedback controller consisting of: (1) an NN observer to estimate the system states and (2) two NNs to generate the virtual and actual control inputs, respectively. The non-causal problem encountered during the control design is overcome by using a dynamic NN which is constructed through a feedforward NN with a novel weight tuning law. The separation principle is relaxed, persistency of excitation condition (PE) is not needed and certainty equivalence principle is not used. The uniformly ultimate boundedness (UUB) of the closed-loop tracking error, the state estimation errors and the NN weight estimates is demonstrated. Though the proposed work is applicable for second order nonlinear discrete-time systems expressed in non-strict feedback form, the proposed controller design can be easily extendable to an nth order nonlinear discrete-time system.
typeArticle - Journal
type.DCMITypetext
type.statusPostprint
rightsPre-print: author can archive with restrictions;Restriction: This does not include Cell Press; Post-print: author can archive;
rightsThis material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
rights.URI
http://www.elsevier.com/wps/find/authorsview.authors/authorsrights
relation.isPartOfAutomatica
date.available2008-07-14T20:11:33Z
identifier.persist.URI
http://scholarsmine.mst.edu/post_prints/Discrete-TimeNeuralNetworkOutputFeedbackCon_09007dcc805310c0.html