[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.
Disciplines :
Computer science
Identifiers :
UNILU:UL-CONFERENCE-2012-161
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
Language :
English
Title :
Regularization and Stabilization of Singular Fractional-Order Systems
Publication date :
2010
Event name :
4th IFAC Workshop Fractional Differentiation and its Applications
Event place :
Badajoz, Spain
Event date :
October 18-20, 2010
Main work title :
4th IFAC Workshop Fractional Differentiation and its Applications, Badajoz, Spain, 2010
ISBN/EAN :
978-8-055304-87-8
Pages :
092-098
Peer reviewed :
Peer reviewed
Commentary :
4th IFAC Workshop Fractional Differentiation and its Applications
