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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Main Authors: Ruliang Wang, Jie Li, Shanshan Zhang, Dongmei Gao, Huanlong Sun
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/963986
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author Ruliang Wang
Jie Li
Shanshan Zhang
Dongmei Gao
Huanlong Sun
author_facet Ruliang Wang
Jie Li
Shanshan Zhang
Dongmei Gao
Huanlong Sun
author_sort Ruliang Wang
collection DOAJ
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.
format Article
id doaj-art-982a751cd8f542e8b29328c1f44fcf43
institution DOAJ
issn 1537-744X
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-982a751cd8f542e8b29328c1f44fcf432025-08-20T03:20:39ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/963986963986Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying DelayRuliang Wang0Jie Li1Shanshan Zhang2Dongmei Gao3Huanlong Sun4Computer and Information Engineering College, Guangxi Teachers Education University, Nanning 530023, ChinaYantai Nanshan Vocational Technology School, Yantai, ChinaSchool of Mathematical Sciences, Guangxi Teachers Education University, Nanning 530023, ChinaDepartment of Basic Courses, Haikou College of Economics, Haikou, ChinaComputer and Information Engineering College, Guangxi Teachers Education University, Nanning 530023, ChinaWe 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.http://dx.doi.org/10.1155/2013/963986
spellingShingle Ruliang Wang
Jie Li
Shanshan Zhang
Dongmei Gao
Huanlong Sun
Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying Delay
The Scientific World Journal
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
url http://dx.doi.org/10.1155/2013/963986
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AT jieli robustadaptivecontrolforaclassofuncertainnonlinearsystemswithtimevaryingdelay
AT shanshanzhang robustadaptivecontrolforaclassofuncertainnonlinearsystemswithtimevaryingdelay
AT dongmeigao robustadaptivecontrolforaclassofuncertainnonlinearsystemswithtimevaryingdelay
AT huanlongsun robustadaptivecontrolforaclassofuncertainnonlinearsystemswithtimevaryingdelay