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Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying Delay

We present adaptive neural control design for a class of perturbed nonlinear MIMO time-varying delay systems in a block-triangular form. Based on a neural controller, it is obtained by constructing a quadratic-type Lyapunov-Krasovskii functional, which efficiently avoids the controller singularity....

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Detalles Bibliográficos
Autores principales: Wang, Ruliang, Li, Jie, Zhang, Shanshan, Gao, Dongmei, Sun, Huanlong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3703331/
https://www.ncbi.nlm.nih.gov/pubmed/23853544
http://dx.doi.org/10.1155/2013/963986
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author Wang, Ruliang
Li, Jie
Zhang, Shanshan
Gao, Dongmei
Sun, Huanlong
author_facet Wang, Ruliang
Li, Jie
Zhang, Shanshan
Gao, Dongmei
Sun, Huanlong
author_sort Wang, Ruliang
collection PubMed
description We present adaptive neural control design for a class of perturbed nonlinear MIMO time-varying delay systems in a block-triangular form. Based on a neural controller, it is obtained by constructing a quadratic-type Lyapunov-Krasovskii functional, which efficiently avoids the controller singularity. The proposed control guarantees that all closed-loop signals remain bounded, while the output tracking error dynamics converge to a neighborhood of the desired trajectories. The simulation results demonstrate the effectiveness of the proposed control scheme.
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spelling pubmed-37033312013-07-12 Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying Delay Wang, Ruliang Li, Jie Zhang, Shanshan Gao, Dongmei Sun, Huanlong ScientificWorldJournal Research Article We present adaptive neural control design for a class of perturbed nonlinear MIMO time-varying delay systems in a block-triangular form. Based on a neural controller, it is obtained by constructing a quadratic-type Lyapunov-Krasovskii functional, which efficiently avoids the controller singularity. The proposed control guarantees that all closed-loop signals remain bounded, while the output tracking error dynamics converge to a neighborhood of the desired trajectories. The simulation results demonstrate the effectiveness of the proposed control scheme. Hindawi Publishing Corporation 2013-06-17 /pmc/articles/PMC3703331/ /pubmed/23853544 http://dx.doi.org/10.1155/2013/963986 Text en Copyright © 2013 Ruliang Wang et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Wang, Ruliang
Li, Jie
Zhang, Shanshan
Gao, Dongmei
Sun, Huanlong
Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying Delay
title Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying Delay
title_full Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying Delay
title_fullStr Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying Delay
title_full_unstemmed Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying Delay
title_short Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying Delay
title_sort robust adaptive control for a class of uncertain nonlinear systems with time-varying delay
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3703331/
https://www.ncbi.nlm.nih.gov/pubmed/23853544
http://dx.doi.org/10.1155/2013/963986
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