Robust Stabilization for a Class of Uncertain Nonlinear Systems via a Novel Hybrid Control Applicable to Mechanical Systems

Robust Stabilization for a Class of Uncertain Nonlinear Systems via a Novel Hybrid Control Applicable to Mechanical Systems

An important consideration in control system design is that of model uncertainty. Besides, systems with mixed uncertainties, chaotic vibrations, and input nonlinearities are not easily stabilized and traditional control schemes for linear systems are not always effective. Therefore, in this paper, w...

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Main Author: Yeong-Jeu Sun
Format: Article
Language:English
Published: SAGE Publishing 2014-04-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1155/2014/952342
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spelling doaj-ea5144b8c4c34871835be62840b9b6522020-11-25T04:02:41ZengSAGE PublishingAdvances in Mechanical Engineering1687-81322014-04-01610.1155/2014/95234210.1155_2014/952342Robust Stabilization for a Class of Uncertain Nonlinear Systems via a Novel Hybrid Control Applicable to Mechanical SystemsYeong-Jeu SunAn important consideration in control system design is that of model uncertainty. Besides, systems with mixed uncertainties, chaotic vibrations, and input nonlinearities are not easily stabilized and traditional control schemes for linear systems are not always effective. Therefore, in this paper, we will solve two problems, first searching a novel hybrid control methodology to achieve the practical stabilization for uncertain systems with mixed uncertainties and second calculating the guaranteed exponential convergence rate with the convergence radius. The applicability of the main results is demonstrated by a tracking controller design for a class of uncertain nonlinear mass-damper-spring systems with mixed uncertainties, chaotic vibrations, and input nonlinearities.https://doi.org/10.1155/2014/952342
collection DOAJ
language English
format Article
sources DOAJ
author Yeong-Jeu Sun
spellingShingle Yeong-Jeu Sun
Robust Stabilization for a Class of Uncertain Nonlinear Systems via a Novel Hybrid Control Applicable to Mechanical Systems
Advances in Mechanical Engineering
author_facet Yeong-Jeu Sun
author_sort Yeong-Jeu Sun
title Robust Stabilization for a Class of Uncertain Nonlinear Systems via a Novel Hybrid Control Applicable to Mechanical Systems
title_short Robust Stabilization for a Class of Uncertain Nonlinear Systems via a Novel Hybrid Control Applicable to Mechanical Systems
title_full Robust Stabilization for a Class of Uncertain Nonlinear Systems via a Novel Hybrid Control Applicable to Mechanical Systems
title_fullStr Robust Stabilization for a Class of Uncertain Nonlinear Systems via a Novel Hybrid Control Applicable to Mechanical Systems
title_full_unstemmed Robust Stabilization for a Class of Uncertain Nonlinear Systems via a Novel Hybrid Control Applicable to Mechanical Systems
title_sort robust stabilization for a class of uncertain nonlinear systems via a novel hybrid control applicable to mechanical systems
publisher SAGE Publishing
series Advances in Mechanical Engineering
issn 1687-8132
publishDate 2014-04-01
description An important consideration in control system design is that of model uncertainty. Besides, systems with mixed uncertainties, chaotic vibrations, and input nonlinearities are not easily stabilized and traditional control schemes for linear systems are not always effective. Therefore, in this paper, we will solve two problems, first searching a novel hybrid control methodology to achieve the practical stabilization for uncertain systems with mixed uncertainties and second calculating the guaranteed exponential convergence rate with the convergence radius. The applicability of the main results is demonstrated by a tracking controller design for a class of uncertain nonlinear mass-damper-spring systems with mixed uncertainties, chaotic vibrations, and input nonlinearities.
url https://doi.org/10.1155/2014/952342
work_keys_str_mv AT yeongjeusun robuststabilizationforaclassofuncertainnonlinearsystemsviaanovelhybridcontrolapplicabletomechanicalsystems
_version_ 1724442589520723968

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