Regularization and Stabilization of Singular Fractional-Order Systems

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

Reference : Regularization and Stabilization of Singular 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/10993/6104

Title :	Regularization and Stabilization of Singular 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 :	2010
Main document title :	4th IFAC Workshop Fractional Differentiation and its Applications, Badajoz, Spain, 2010
Pages :	092-098
Peer reviewed :	Yes
ISBN :	978-8-055304-87-8
Event name :	4th IFAC Workshop Fractional Differentiation and its Applications
Event date :	October 18-20, 2010
Event place (city) :	Badajoz
Event country :	Spain
Keywords :	[en] Singular fractional-order systems ; predictive and memoryless static feedbacks ; regularization ; stabilization ; LMIs
Abstract :	[en] In this paper, asymptotical stabilization problem via a predictive and memoryless static feedbacks of singular fractional-order systems is investigated. Sufficient linear matrix inequalities (LMI) conditions for regularization of singular fractional-order systems are given. Then, the predictive controller aims to regularizing the singular fractional-order systems while the memoryless state feedback is designed to stabilize the resulting regularized system. The result can be applicable to the asymptotical stabilization problem of a class of nonlinear singular fractional-order systems using a new generalization of Gronwall-Bellman lemma.
Permalink :	http://hdl.handle.net/10993/6104
Commentary :	4th IFAC Workshop Fractional Differentiation and its Applications

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