1. Robust stabilization of uncertain descriptor fractional-order systems
- Author
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Michel Zasadzinski, Mohamed Darouach, Nour-Eddine Radhy, Ibrahima N'Doye, Centre de Recherche en Automatique de Nancy (CRAN), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Automation Research Group (ARC), University of Luxemburg, Laboratoire Mécanique, Productique et Génie Industriel (LMPGI), Université Hassan II [Casablanca] (UH2MC), and Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)
- Subjects
Normalization (statistics) ,0209 industrial biotechnology ,Feedback control ,Parameter uncertainty ,Linear matrix inequality (LMI) ,Linear matrix inequality ,02 engineering and technology ,Linear matrix ,State feedback control ,Robust stabilization ,[SPI.AUTO]Engineering Sciences [physics]/Automatic ,Descriptor fractional-order system ,Normalization ,020901 industrial engineering & automation ,Control and Systems Engineering ,Control theory ,0202 electrical engineering, electronic engineering, information engineering ,020201 artificial intelligence & image processing ,Electrical and Electronic Engineering ,Mathematics - Abstract
International audience; This paper presents sufficient conditions for the robust asymptotical stabilization of uncertain descriptor fractional-order systems with the fractional order α satisfying 0 < α < 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 α belonging to 0 < α < 2 is derived. Two numerical examples are given to demonstrate the applicability of the proposed approach.
- Published
- 2013
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