Networked Output Feedback Control for a Class of Uncertain Nonlinear Time-Delay Systems

This paper studies the global stabilization problem for a class of uncertain time-delay nonlinear systems by designing a sampled-data output feedback controller via network. Under a lower triangular linear growth condition, when only the output is measurable, a sampled-data output feedback network c...

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Main Authors: Hongyan Chu, Yan Wang, Weiling Li
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2019/4706846
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author Hongyan Chu
Yan Wang
Weiling Li
author_facet Hongyan Chu
Yan Wang
Weiling Li
author_sort Hongyan Chu
collection DOAJ
description This paper studies the global stabilization problem for a class of uncertain time-delay nonlinear systems by designing a sampled-data output feedback controller via network. Under a lower triangular linear growth condition, when only the output is measurable, a sampled-data output feedback network controller, whose observer and control law are both linear, is constructed to solve the stabilization problem. Using a feedback domination design approach which substantially differs from the separation principle, we explicitly construct a Lyapunov–Krasovskill functional to prove the global asymptotic stability with the help of inductive proof method. The control law is discrete-time and linear, hence simulation examples be easily implemented with computers to show the effectiveness of our proposed method.
format Article
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institution OA Journals
issn 1026-0226
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language English
publishDate 2019-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-8fd55836aee043a8a66dfe50bceeeedd2025-08-20T02:09:29ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/47068464706846Networked Output Feedback Control for a Class of Uncertain Nonlinear Time-Delay SystemsHongyan Chu0Yan Wang1Weiling Li2School of Physics and Technology, Nanjing Normal University, Nanjing 210096, ChinaSchool of NARI Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210096, ChinaSchool of Energy and Mechanical Engineering, Nanjing Normal University, Nanjing 210096, ChinaThis paper studies the global stabilization problem for a class of uncertain time-delay nonlinear systems by designing a sampled-data output feedback controller via network. Under a lower triangular linear growth condition, when only the output is measurable, a sampled-data output feedback network controller, whose observer and control law are both linear, is constructed to solve the stabilization problem. Using a feedback domination design approach which substantially differs from the separation principle, we explicitly construct a Lyapunov–Krasovskill functional to prove the global asymptotic stability with the help of inductive proof method. The control law is discrete-time and linear, hence simulation examples be easily implemented with computers to show the effectiveness of our proposed method.http://dx.doi.org/10.1155/2019/4706846
spellingShingle Hongyan Chu
Yan Wang
Weiling Li
Networked Output Feedback Control for a Class of Uncertain Nonlinear Time-Delay Systems
Discrete Dynamics in Nature and Society
title Networked Output Feedback Control for a Class of Uncertain Nonlinear Time-Delay Systems
title_full Networked Output Feedback Control for a Class of Uncertain Nonlinear Time-Delay Systems
title_fullStr Networked Output Feedback Control for a Class of Uncertain Nonlinear Time-Delay Systems
title_full_unstemmed Networked Output Feedback Control for a Class of Uncertain Nonlinear Time-Delay Systems
title_short Networked Output Feedback Control for a Class of Uncertain Nonlinear Time-Delay Systems
title_sort networked output feedback control for a class of uncertain nonlinear time delay systems
url http://dx.doi.org/10.1155/2019/4706846
work_keys_str_mv AT hongyanchu networkedoutputfeedbackcontrolforaclassofuncertainnonlineartimedelaysystems
AT yanwang networkedoutputfeedbackcontrolforaclassofuncertainnonlineartimedelaysystems
AT weilingli networkedoutputfeedbackcontrolforaclassofuncertainnonlineartimedelaysystems