Feedback Linearization Control for Highly Uncertain Nonlinear Systems Augmented by Single-Hidden-Layer Neural Networks

The main objective of this paper is to design an adaptive output feedback control for a class of uncertain nonlinear systems using only one Single-Hidden-Layer (SHL) Neural Networks (NN) in order to eliminate the unstructured uncertainties. The approach employs feedback linearization, coupled with...

Full description

Bibliographic Details
Main Authors: Hamou Ait Abbas, Mohammed Belkheiri, Boubakeur Zegnini
Format: Article
Language:English
Published: Eastern Macedonia and Thrace Institute of Technology 2014-11-01
Series:Journal of Engineering Science and Technology Review
Subjects:
Online Access:http://www.jestr.org/downloads/Volume8Issue2/fulltext82272015.pdf
_version_ 1818266114411462656
author Hamou Ait Abbas
Mohammed Belkheiri
Boubakeur Zegnini
author_facet Hamou Ait Abbas
Mohammed Belkheiri
Boubakeur Zegnini
author_sort Hamou Ait Abbas
collection DOAJ
description The main objective of this paper is to design an adaptive output feedback control for a class of uncertain nonlinear systems using only one Single-Hidden-Layer (SHL) Neural Networks (NN) in order to eliminate the unstructured uncertainties. The approach employs feedback linearization, coupled with an on-line NN to compensate for modelling errors. A fixed structure dynamic compensator is designed to stabilize the linearized system. A signal, comprised of a linear combination of the measured tracking error and the compensator states, is used to adapt the NN weights. The network weight adaptation rule is derived from Lyapunov stability analysis, and guarantees that the adapted weight errors and the tracking error are bounded. Numerical simulations of both nonlinear systems, Van der Pol example and tunnel diode circuit model, having full relative degree, are used to illustrate the practical potential of the proposed approach.
first_indexed 2024-12-12T20:01:33Z
format Article
id doaj.art-7d86212381e24ab981c62b1cd358bb3c
institution Directory Open Access Journal
issn 1791-2377
1791-2377
language English
last_indexed 2024-12-12T20:01:33Z
publishDate 2014-11-01
publisher Eastern Macedonia and Thrace Institute of Technology
record_format Article
series Journal of Engineering Science and Technology Review
spelling doaj.art-7d86212381e24ab981c62b1cd358bb3c2022-12-22T00:13:44ZengEastern Macedonia and Thrace Institute of TechnologyJournal of Engineering Science and Technology Review1791-23771791-23772014-11-0182215224Feedback Linearization Control for Highly Uncertain Nonlinear Systems Augmented by Single-Hidden-Layer Neural NetworksHamou Ait Abbas0Mohammed Belkheiri1Boubakeur Zegnini2Laboratoire d'Etude et de Développement des Matériaux Semi Conducteurs et DiélectriquesLaboratoire de Télécommunications, Signaux et Systèmes. Université Amar Telidji- Laghouat, BP G37 Route de Ghardaïa (03000 Laghouat), AlgérieLaboratoire d'Etude et de Développement des Matériaux Semi Conducteurs et DiélectriquesThe main objective of this paper is to design an adaptive output feedback control for a class of uncertain nonlinear systems using only one Single-Hidden-Layer (SHL) Neural Networks (NN) in order to eliminate the unstructured uncertainties. The approach employs feedback linearization, coupled with an on-line NN to compensate for modelling errors. A fixed structure dynamic compensator is designed to stabilize the linearized system. A signal, comprised of a linear combination of the measured tracking error and the compensator states, is used to adapt the NN weights. The network weight adaptation rule is derived from Lyapunov stability analysis, and guarantees that the adapted weight errors and the tracking error are bounded. Numerical simulations of both nonlinear systems, Van der Pol example and tunnel diode circuit model, having full relative degree, are used to illustrate the practical potential of the proposed approach.http://www.jestr.org/downloads/Volume8Issue2/fulltext82272015.pdfFeedback controlnonlinear systemssingle-hidden-layer neural networkerror dynamicsunstructured uncertainty.
spellingShingle Hamou Ait Abbas
Mohammed Belkheiri
Boubakeur Zegnini
Feedback Linearization Control for Highly Uncertain Nonlinear Systems Augmented by Single-Hidden-Layer Neural Networks
Journal of Engineering Science and Technology Review
Feedback control
nonlinear systems
single-hidden-layer neural network
error dynamics
unstructured uncertainty.
title Feedback Linearization Control for Highly Uncertain Nonlinear Systems Augmented by Single-Hidden-Layer Neural Networks
title_full Feedback Linearization Control for Highly Uncertain Nonlinear Systems Augmented by Single-Hidden-Layer Neural Networks
title_fullStr Feedback Linearization Control for Highly Uncertain Nonlinear Systems Augmented by Single-Hidden-Layer Neural Networks
title_full_unstemmed Feedback Linearization Control for Highly Uncertain Nonlinear Systems Augmented by Single-Hidden-Layer Neural Networks
title_short Feedback Linearization Control for Highly Uncertain Nonlinear Systems Augmented by Single-Hidden-Layer Neural Networks
title_sort feedback linearization control for highly uncertain nonlinear systems augmented by single hidden layer neural networks
topic Feedback control
nonlinear systems
single-hidden-layer neural network
error dynamics
unstructured uncertainty.
url http://www.jestr.org/downloads/Volume8Issue2/fulltext82272015.pdf
work_keys_str_mv AT hamouaitabbas feedbacklinearizationcontrolforhighlyuncertainnonlinearsystemsaugmentedbysinglehiddenlayerneuralnetworks
AT mohammedbelkheiri feedbacklinearizationcontrolforhighlyuncertainnonlinearsystemsaugmentedbysinglehiddenlayerneuralnetworks
AT boubakeurzegnini feedbacklinearizationcontrolforhighlyuncertainnonlinearsystemsaugmentedbysinglehiddenlayerneuralnetworks