Regularization and Robust Stabilization of Singular Uncertain Fractional-Order Systems

Ndoye, Ibrahima; Zasadzinski, Michel; Darouach, Mohamed; Radhy, Nour-Eddine

Reference : Regularization and Robust Stabilization of Singular Uncertain Fractional-Order Systems


	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Engineering, computing & technology : Computer science
	To cite this reference:	http://hdl.handle.net/10993/6116

Title :	Regularization and Robust Stabilization of Singular Uncertain Fractional-Order Systems
Language :	English
Author, co-author :	Ndoye, Ibrahima [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit > ; University of Lorraine > Research Center for Automatic Control of Nancy (CRAN UMR, 7039, CNRS)]
	Zasadzinski, Michel []
	Darouach, Mohamed []
	Radhy, Nour-Eddine []
Publication date :	2011
Main document title :	18th IFAC World Congress, Milano, Italy, 2011
Pages :	15031-15036
Peer reviewed :	Yes
Audience :	International
ISBN :	978-3-902661-93-7
Event name :	18th IFAC World Congress (2011)
Event date :	2011
Keywords :	[en] Singular fractional-order systems ; parameter uncertainty ; predictive and memoryless static feedbacks ; regularization ; robust stabilization ; LMIs
Abstract :	[en] In this paper, robust asymptotical stabilization problem via a predictive and memoryless static feedbacks for uncertain singular fractional-order systems for the fractional-order belonging to 0<\alpha<2 is investigated. The parameter uncertainty is assumed to be time-invariant and norm-bounded appearing in the state matrix. Suffcient linear matrix inequalities (LMIs) conditions for regularization of uncertain singular fractional-order systems are given. Then, the predictive controller aims to regularizing the uncertain singular fractional-order systems while the memoryless state feedback is designed to stabilize the resulting regularized system. A numerical example is given to demonstrate the applicability of the proposed approach.
Permalink :	http://hdl.handle.net/10993/6116

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