Robust H∞ control of linear systems with interval non-differentiable time-varying delays

In this paper, robust H∞ control for a class of linear systems with time-varying delay is studied. The time delay is a continuous function belonging to a given interval, which means that the lower and upper bounds for the time-varying delay are available, but the delay function is not necessarily di...

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Main Authors:	Emharuethai C., Niamsup P.
Format:	Conference or Workshop Item
Published:	2015
Subjects:	Computer Science Applications Control and Systems Engineering Software
Online Access:	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84872349808&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38671
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-386712015-06-16T07:53:52Z Robust H∞ control of linear systems with interval non-differentiable time-varying delays Emharuethai C. Emharuethai C. Niamsup P. Niamsup P. Computer Science Applications Control and Systems Engineering Software In this paper, robust H∞ control for a class of linear systems with time-varying delay is studied. The time delay is a continuous function belonging to a given interval, which means that the lower and upper bounds for the time-varying delay are available, but the delay function is not necessarily differentiable. Based on Lyapunov-Krasovskii theory combined with Leibniz-Newton's formula, new delay-dependent sufficient conditions for the exponential stabilization and a prescribed H∞ performance level of the closed-loop system for all admissible uncertainties, are established in terms of LMIs. Numerical examples are given to illustrate the effectiveness of the theoretical results. © 2012 IEEE. 2015-06-16T07:53:52Z 2015-06-16T07:53:52Z 2012-12-01 Conference Paper 2-s2.0-84872349808 10.1109/WCICA.2012.6358117 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84872349808&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38671
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Computer Science Applications Control and Systems Engineering Software
spellingShingle	Computer Science Applications Control and Systems Engineering Software Emharuethai C. Emharuethai C. Niamsup P. Niamsup P. Robust H∞ control of linear systems with interval non-differentiable time-varying delays
description	In this paper, robust H∞ control for a class of linear systems with time-varying delay is studied. The time delay is a continuous function belonging to a given interval, which means that the lower and upper bounds for the time-varying delay are available, but the delay function is not necessarily differentiable. Based on Lyapunov-Krasovskii theory combined with Leibniz-Newton's formula, new delay-dependent sufficient conditions for the exponential stabilization and a prescribed H∞ performance level of the closed-loop system for all admissible uncertainties, are established in terms of LMIs. Numerical examples are given to illustrate the effectiveness of the theoretical results. © 2012 IEEE.
format	Conference or Workshop Item
author	Emharuethai C. Emharuethai C. Niamsup P. Niamsup P.
author_facet	Emharuethai C. Emharuethai C. Niamsup P. Niamsup P.
author_sort	Emharuethai C.
title	Robust H∞ control of linear systems with interval non-differentiable time-varying delays
title_short	Robust H∞ control of linear systems with interval non-differentiable time-varying delays
title_full	Robust H∞ control of linear systems with interval non-differentiable time-varying delays
title_fullStr	Robust H∞ control of linear systems with interval non-differentiable time-varying delays
title_full_unstemmed	Robust H∞ control of linear systems with interval non-differentiable time-varying delays
title_sort	robust h∞ control of linear systems with interval non-differentiable time-varying delays
publishDate	2015
url	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84872349808&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38671
_version_	1681421515857330176

Robust H∞ control of linear systems with interval non-differentiable time-varying delays

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