Reference : Robust stabilization of uncertain descriptor fractional-order systems
Scientific journals : Article
Engineering, computing & technology : Computer science
http://hdl.handle.net/10993/6135
Robust stabilization of uncertain descriptor fractional-order systems
English
Ndoye, Ibrahima mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Darouach, Mohamed []
Zasadzinski, Michel []
Radhy, Nour-Eddine []
2013
Automatica
Pergamon Press - An Imprint of Elsevier Science
Yes (verified by ORBilu)
International
0005-1098
Oxford
United Kingdom
[en] Descriptor fractional-order system ; Parameter uncertainty ; State feedback control ; Normalization ; Robust stabilization ; Linear matrix inequality (LMI)
[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.
http://hdl.handle.net/10993/6135

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