$H ∞ ${H} _{ {\infty}} $ analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality$

H ∞ ${H} _{ {\infty}} $ analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality

Abstract In this paper, the H ∞ $H_{\infty} $ performance analysis and switching control of uncertain discrete switched systems with time delay and linear fractional perturbations are considered via a switching signal design. Lyapunov-Krasovskii type functional and discrete Wirtinger inequality are...

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Main Authors:	Ker-Wei Yu, Chang-Hua Lien, Hao-Chin Chang
Format:	Article
Language:	English
Published:	SpringerOpen 2017-10-01
Series:	Advances in Difference Equations
Subjects:	switching signal selection H ∞ $H_{\infty} $ performance analysis switching control discrete switched systems Wirtinger inequality
Online Access:	http://link.springer.com/article/10.1186/s13662-017-1405-x

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spelling	doaj-f4694292e61048648b23b8292423b0252020-11-24T23:44:26ZengSpringerOpenAdvances in Difference Equations1687-18472017-10-012017112210.1186/s13662-017-1405-xH ∞ ${H} _{ {\infty}} $ analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequalityKer-Wei Yu0Chang-Hua Lien1Hao-Chin Chang2Department of Marine Engineering, National Kaohsiung Marine UniversityDepartment of Marine Engineering, National Kaohsiung Marine UniversityDepartment of Marine Engineering, National Kaohsiung Marine UniversityAbstract In this paper, the H ∞ $H_{\infty} $ performance analysis and switching control of uncertain discrete switched systems with time delay and linear fractional perturbations are considered via a switching signal design. Lyapunov-Krasovskii type functional and discrete Wirtinger inequality are used in our approach to improve the conservativeness of the past research results. Less LMI variables and shorter program running time are provided than our past proposed results. Finally, two numerical examples are given to show the improvement of the developed results.http://link.springer.com/article/10.1186/s13662-017-1405-xswitching signal selectionH ∞ $H_{\infty} $ performance analysisswitching controldiscrete switched systemsWirtinger inequality
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ker-Wei Yu Chang-Hua Lien Hao-Chin Chang
spellingShingle	Ker-Wei Yu Chang-Hua Lien Hao-Chin Chang H ∞ ${H} _{ {\infty}} $ analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality Advances in Difference Equations switching signal selection H ∞ $H_{\infty} $ performance analysis switching control discrete switched systems Wirtinger inequality
author_facet	Ker-Wei Yu Chang-Hua Lien Hao-Chin Chang
author_sort	Ker-Wei Yu
title	H ∞ ${H} _{ {\infty}} $ analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality
title_short	H ∞ ${H} _{ {\infty}} $ analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality
title_full	H ∞ ${H} _{ {\infty}} $ analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality
title_fullStr	H ∞ ${H} _{ {\infty}} $ analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality
title_full_unstemmed	H ∞ ${H} _{ {\infty}} $ analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality
title_sort	h ∞ ${h} _{ {\infty}} $ analysis and switching control for uncertain discrete switched time-delay systems by discrete wirtinger inequality
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2017-10-01
description	Abstract In this paper, the H ∞ $H_{\infty} $ performance analysis and switching control of uncertain discrete switched systems with time delay and linear fractional perturbations are considered via a switching signal design. Lyapunov-Krasovskii type functional and discrete Wirtinger inequality are used in our approach to improve the conservativeness of the past research results. Less LMI variables and shorter program running time are provided than our past proposed results. Finally, two numerical examples are given to show the improvement of the developed results.
topic	switching signal selection H ∞ $H_{\infty} $ performance analysis switching control discrete switched systems Wirtinger inequality
url	http://link.springer.com/article/10.1186/s13662-017-1405-x
work_keys_str_mv	AT kerweiyu hhinftyanalysisandswitchingcontrolforuncertaindiscreteswitchedtimedelaysystemsbydiscretewirtingerinequality AT changhualien hhinftyanalysisandswitchingcontrolforuncertaindiscreteswitchedtimedelaysystemsbydiscretewirtingerinequality AT haochinchang hhinftyanalysisandswitchingcontrolforuncertaindiscreteswitchedtimedelaysystemsbydiscretewirtingerinequality
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H ∞ ${H} _{ {\infty}} $ analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality

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