Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domain

This study addresses the issue of robust dynamic output feedback control (DOF) for polynomial Takagi–Sugeno (T–S) fuzzy systems in the Finite Frequency (FF) domain. Sufficient conditions for designing the robust DOF control are derived in terms of the sum of squares (SOS). The proposed strategy is b...

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Autores principales:	Redouane Chaibi, Mohamed Yagoubi, Rachid El Bachtiri
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Dynamic output feedback control (DOF) Finite frequency (FF) domain Polynomial Takagi–Sugeno (T–S) fuzzy systems Applied mathematics. Quantitative methods T57-57.97
Acceso en línea:	https://doaj.org/article/00b5aa4c3bee4cb2a4e4a8f765c90580
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spelling	oai:doaj.org-article:00b5aa4c3bee4cb2a4e4a8f765c905802021-12-04T04:36:23ZRobust DOF control for uncertain polynomial fuzzy systems in finite frequency domain2666-720710.1016/j.rico.2021.100062https://doaj.org/article/00b5aa4c3bee4cb2a4e4a8f765c905802021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666720721000369https://doaj.org/toc/2666-7207This study addresses the issue of robust dynamic output feedback control (DOF) for polynomial Takagi–Sugeno (T–S) fuzzy systems in the Finite Frequency (FF) domain. Sufficient conditions for designing the robust DOF control are derived in terms of the sum of squares (SOS). The proposed strategy is built in the FF domain to reduce conservation-generated by the techniques established in the whole frequency domain. In addition, there are no transformation matrices or equality constraints under these conditions, which simplifies the numerical solution. To show the validity of the suggested technique, several numerical examples are presented.Redouane ChaibiMohamed YagoubiRachid El BachtiriElsevierarticleDynamic output feedback control (DOF)Finite frequency (FF) domainPolynomial Takagi–Sugeno (T–S) fuzzy systemsApplied mathematics. Quantitative methodsT57-57.97ENResults in Control and Optimization, Vol 5, Iss , Pp 100062- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Dynamic output feedback control (DOF) Finite frequency (FF) domain Polynomial Takagi–Sugeno (T–S) fuzzy systems Applied mathematics. Quantitative methods T57-57.97
spellingShingle	Dynamic output feedback control (DOF) Finite frequency (FF) domain Polynomial Takagi–Sugeno (T–S) fuzzy systems Applied mathematics. Quantitative methods T57-57.97 Redouane Chaibi Mohamed Yagoubi Rachid El Bachtiri Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domain
description	This study addresses the issue of robust dynamic output feedback control (DOF) for polynomial Takagi–Sugeno (T–S) fuzzy systems in the Finite Frequency (FF) domain. Sufficient conditions for designing the robust DOF control are derived in terms of the sum of squares (SOS). The proposed strategy is built in the FF domain to reduce conservation-generated by the techniques established in the whole frequency domain. In addition, there are no transformation matrices or equality constraints under these conditions, which simplifies the numerical solution. To show the validity of the suggested technique, several numerical examples are presented.
format	article
author	Redouane Chaibi Mohamed Yagoubi Rachid El Bachtiri
author_facet	Redouane Chaibi Mohamed Yagoubi Rachid El Bachtiri
author_sort	Redouane Chaibi
title	Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domain
title_short	Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domain
title_full	Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domain
title_fullStr	Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domain
title_full_unstemmed	Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domain
title_sort	robust dof control for uncertain polynomial fuzzy systems in finite frequency domain
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/00b5aa4c3bee4cb2a4e4a8f765c90580
work_keys_str_mv	AT redouanechaibi robustdofcontrolforuncertainpolynomialfuzzysystemsinfinitefrequencydomain AT mohamedyagoubi robustdofcontrolforuncertainpolynomialfuzzysystemsinfinitefrequencydomain AT rachidelbachtiri robustdofcontrolforuncertainpolynomialfuzzysystemsinfinitefrequencydomain
_version_	1718372890245595136

Robust DOF control for uncertain polynomial fuzzy systems in finite frequency domain

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