Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays

Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays

This paper addresses the conditions for robust stabilization of a class of uncertain switched systems with delay. The system to be considered is autonomous and the state delay is time-varying. Using Lyapunov functional approach, restriction on the derivative of time-delay function is not required to...

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Main Authors: T. La-inchua, P. Niamsup
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/718618
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spelling doaj-d72b195593c245a28b9dbe4ddad7ef292020-11-25T00:43:15ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/718618718618Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying DelaysT. La-inchua0P. Niamsup1Department of Mathematics, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Chiang Mai University, Chiang Mai 50200, ThailandThis paper addresses the conditions for robust stabilization of a class of uncertain switched systems with delay. The system to be considered is autonomous and the state delay is time-varying. Using Lyapunov functional approach, restriction on the derivative of time-delay function is not required to design switching rule for the robust stabilization of switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of the solution of LMIs which can be solved by various available algorithms. A numerical example is given to illustrate the effectiveness of theoretical results.http://dx.doi.org/10.1155/2012/718618
collection DOAJ
language English
format Article
sources DOAJ
author T. La-inchua
P. Niamsup
spellingShingle T. La-inchua
P. Niamsup
Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays
Journal of Applied Mathematics
author_facet T. La-inchua
P. Niamsup
author_sort T. La-inchua
title Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays
title_short Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays
title_full Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays
title_fullStr Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays
title_full_unstemmed Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays
title_sort robust control for uncertain switched systems with interval nondifferentiable time-varying delays
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description This paper addresses the conditions for robust stabilization of a class of uncertain switched systems with delay. The system to be considered is autonomous and the state delay is time-varying. Using Lyapunov functional approach, restriction on the derivative of time-delay function is not required to design switching rule for the robust stabilization of switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of the solution of LMIs which can be solved by various available algorithms. A numerical example is given to illustrate the effectiveness of theoretical results.
url http://dx.doi.org/10.1155/2012/718618
work_keys_str_mv AT tlainchua robustcontrolforuncertainswitchedsystemswithintervalnondifferentiabletimevaryingdelays
AT pniamsup robustcontrolforuncertainswitchedsystemswithintervalnondifferentiabletimevaryingdelays
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