Fractional-order systems; functional observer; existence condition; linear matrix inequality (LMI); unknown input; stability
Abstract :
[en] This paper considers a method to design the functional observers for continuous-time linear fractional-order systems with unknown inputs. The conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of observers with the fractional-order satisfying 0<\alpha<2 are derived in terms of linear matrix inequalities formulation. Two numerical examples are given to demonstrate the applicability of the proposed approach where the fractional-order belonging to 1<\alpha<2 and 0<\alpha<1 respectively.
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
Language :
English
Title :
Fractional-Order Observers Design for Fractional-Order Systems with Unknown Inputs
Publication date :
2012
Event name :
2nd International Conference on Systems and Control (2012)
Event place :
Marrakesh, Morocco
Event date :
June 20-22, 2012
Audience :
International
Main work title :
2nd International Conference on Systems and Control, Morocco, June 20-22, 2012
