Asymptotic Stability for Coupled Modal Sliding Mode Control of Vibration in a Flexible Structure

Asymptotic Stability for Coupled Modal Sliding Mode Control of Vibration in a Flexible Structure

This paper deals with the asymptotic stability of the coupled modal sliding mode control of a vibratory structure in the presence of parametric uncertainties. The method is based on the linear fractional transformation and the small gain theorem / μ analysis. Using a flexible tetrahedral truss struc...

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Bibliographic Details
Main Authors: Ming-Chang Pai, Alok Sinha
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-2009-0471
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spelling doaj-657ea288b72046e18f5d392c8e9e41bf2020-11-24T23:14:54ZengHindawi LimitedShock and Vibration1070-96221875-92032009-01-0116331932410.3233/SAV-2009-0471Asymptotic Stability for Coupled Modal Sliding Mode Control of Vibration in a Flexible StructureMing-Chang Pai0Alok Sinha1Department of Automation Engineering, Nan Kai Institute of Technology, Tsa-Tun, Nantou, 54210, TaiwanDepartment of Mechanical and Nuclear Engineering, The Pennsylvania State University, University Park, PA 16802, USAThis paper deals with the asymptotic stability of the coupled modal sliding mode control of a vibratory structure in the presence of parametric uncertainties. The method is based on the linear fractional transformation and the small gain theorem / μ analysis. Using a flexible tetrahedral truss structure, a numerical example is presented to verify the theoretical analysis.http://dx.doi.org/10.3233/SAV-2009-0471
collection DOAJ
language English
format Article
sources DOAJ
author Ming-Chang Pai
Alok Sinha
spellingShingle Ming-Chang Pai
Alok Sinha
Asymptotic Stability for Coupled Modal Sliding Mode Control of Vibration in a Flexible Structure
Shock and Vibration
author_facet Ming-Chang Pai
Alok Sinha
author_sort Ming-Chang Pai
title Asymptotic Stability for Coupled Modal Sliding Mode Control of Vibration in a Flexible Structure
title_short Asymptotic Stability for Coupled Modal Sliding Mode Control of Vibration in a Flexible Structure
title_full Asymptotic Stability for Coupled Modal Sliding Mode Control of Vibration in a Flexible Structure
title_fullStr Asymptotic Stability for Coupled Modal Sliding Mode Control of Vibration in a Flexible Structure
title_full_unstemmed Asymptotic Stability for Coupled Modal Sliding Mode Control of Vibration in a Flexible Structure
title_sort asymptotic stability for coupled modal sliding mode control of vibration in a flexible structure
publisher Hindawi Limited
series Shock and Vibration
issn 1070-9622
1875-9203
publishDate 2009-01-01
description This paper deals with the asymptotic stability of the coupled modal sliding mode control of a vibratory structure in the presence of parametric uncertainties. The method is based on the linear fractional transformation and the small gain theorem / μ analysis. Using a flexible tetrahedral truss structure, a numerical example is presented to verify the theoretical analysis.
url http://dx.doi.org/10.3233/SAV-2009-0471
work_keys_str_mv AT mingchangpai asymptoticstabilityforcoupledmodalslidingmodecontrolofvibrationinaflexiblestructure
AT aloksinha asymptoticstabilityforcoupledmodalslidingmodecontrolofvibrationinaflexiblestructure
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