Adaptive Fuzzy Tracking Control for a Class of Uncertain Nonlinear Time-Delayed Systems with Saturation Constrains

In this paper, the problem of adaptive fuzzy tracking control is considered for a class of uncertain nonaffine nonlinear systems with external disturbances, multiple time delays, and nonsymmetric saturation constrains. First, the mean value theorem is employed to deal with the nonaffine term with in...

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Main Authors: Yu-Jun Zhang, Li-Bing Wu, Hong-Yang Zhao, Xiao-Dong Hu, Wen-Yu Zhang, Dong-Ying Ju
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2016/2931524
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author Yu-Jun Zhang
Li-Bing Wu
Hong-Yang Zhao
Xiao-Dong Hu
Wen-Yu Zhang
Dong-Ying Ju
author_facet Yu-Jun Zhang
Li-Bing Wu
Hong-Yang Zhao
Xiao-Dong Hu
Wen-Yu Zhang
Dong-Ying Ju
author_sort Yu-Jun Zhang
collection DOAJ
description In this paper, the problem of adaptive fuzzy tracking control is considered for a class of uncertain nonaffine nonlinear systems with external disturbances, multiple time delays, and nonsymmetric saturation constrains. First, the mean value theorem is employed to deal with the nonaffine term with input nonlinearity. Then, a new adaptive fuzzy tracking controller with parameter updating laws is designed by using fuzzy approximation technique. Moreover, it is shown that all the closed-loop signals are bounded and the tracking errors can asymptotically converge to zero via the Lyapunov stability analysis. Finally, the simulation example for van der Pol oscillator system is worked out to verify the effectiveness of the proposed adaptive fuzzy design approach.
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institution Kabale University
issn 1687-5249
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language English
publishDate 2016-01-01
publisher Wiley
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series Journal of Control Science and Engineering
spelling doaj-art-7f55f6fd608d40b88b355fc166b05e2f2025-02-03T05:59:40ZengWileyJournal of Control Science and Engineering1687-52491687-52572016-01-01201610.1155/2016/29315242931524Adaptive Fuzzy Tracking Control for a Class of Uncertain Nonlinear Time-Delayed Systems with Saturation ConstrainsYu-Jun Zhang0Li-Bing Wu1Hong-Yang Zhao2Xiao-Dong Hu3Wen-Yu Zhang4Dong-Ying Ju5Software School, University of Science and Technology Liaoning, Anshan, Liaoning 114051, ChinaSchool of Science, University of Science and Technology Liaoning, Anshan, Liaoning 114051, ChinaSchool of Material and Metallurgy, University of Science and Technology Liaoning, Anshan, Liaoning 114051, ChinaSchool of Material and Metallurgy, University of Science and Technology Liaoning, Anshan, Liaoning 114051, ChinaCollege of International of Finance and Banking, University of Science and Technology Liaoning, Anshan, Liaoning 114051, ChinaSchool of Material and Metallurgy, University of Science and Technology Liaoning, Anshan, Liaoning 114051, ChinaIn this paper, the problem of adaptive fuzzy tracking control is considered for a class of uncertain nonaffine nonlinear systems with external disturbances, multiple time delays, and nonsymmetric saturation constrains. First, the mean value theorem is employed to deal with the nonaffine term with input nonlinearity. Then, a new adaptive fuzzy tracking controller with parameter updating laws is designed by using fuzzy approximation technique. Moreover, it is shown that all the closed-loop signals are bounded and the tracking errors can asymptotically converge to zero via the Lyapunov stability analysis. Finally, the simulation example for van der Pol oscillator system is worked out to verify the effectiveness of the proposed adaptive fuzzy design approach.http://dx.doi.org/10.1155/2016/2931524
spellingShingle Yu-Jun Zhang
Li-Bing Wu
Hong-Yang Zhao
Xiao-Dong Hu
Wen-Yu Zhang
Dong-Ying Ju
Adaptive Fuzzy Tracking Control for a Class of Uncertain Nonlinear Time-Delayed Systems with Saturation Constrains
Journal of Control Science and Engineering
title Adaptive Fuzzy Tracking Control for a Class of Uncertain Nonlinear Time-Delayed Systems with Saturation Constrains
title_full Adaptive Fuzzy Tracking Control for a Class of Uncertain Nonlinear Time-Delayed Systems with Saturation Constrains
title_fullStr Adaptive Fuzzy Tracking Control for a Class of Uncertain Nonlinear Time-Delayed Systems with Saturation Constrains
title_full_unstemmed Adaptive Fuzzy Tracking Control for a Class of Uncertain Nonlinear Time-Delayed Systems with Saturation Constrains
title_short Adaptive Fuzzy Tracking Control for a Class of Uncertain Nonlinear Time-Delayed Systems with Saturation Constrains
title_sort adaptive fuzzy tracking control for a class of uncertain nonlinear time delayed systems with saturation constrains
url http://dx.doi.org/10.1155/2016/2931524
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