Article (Scientific journals)
Robust stabilization of uncertain descriptor fractional-order systems
Ndoye, Ibrahima; Darouach, Mohamed; Zasadzinski, Michel et al.
2013In Automatica
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Keywords :
Descriptor fractional-order system; Parameter uncertainty; State feedback control; Normalization; Robust stabilization; Linear matrix inequality (LMI)
Abstract :
[en] This paper presents sufficient conditions for the robust asymptotical stabilization of uncertain descriptor fractional-order systems with the fractional order α satisfying 0<\alpha<2. The results are obtained in terms of linear matrix inequalities. The parameter uncertainties are assumed to be time-invariant and norm-bounded appearing in the state matrix. A necessary and sufficient condition for the normalization of uncertain descriptor fractional-order systems is given via linear matrix inequality (LMI) formulation. The state feedback control to robustly stabilize such uncertain descriptor fractional-order systems with the fractional order \alpha belonging to 0</alpha<2 is derived. Two numerical examples are given to demonstrate the applicability of the proposed approach.
Disciplines :
Computer science
Author, co-author :
Ndoye, Ibrahima ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Darouach, Mohamed
Zasadzinski, Michel
Radhy, Nour-Eddine
Language :
English
Title :
Robust stabilization of uncertain descriptor fractional-order systems
Publication date :
2013
Journal title :
Automatica
ISSN :
0005-1098
Publisher :
Pergamon Press - An Imprint of Elsevier Science, Oxford, United Kingdom
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 17 September 2013

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