Reference : Fractional-Order Observers Design for Fractional-Order Systems with Unknown Inputs
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Engineering, computing & technology : Computer science
Fractional-Order Observers Design for Fractional-Order Systems with Unknown Inputs
Ndoye, Ibrahima mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Darouach, Mohamed []
Zasadzinski, Michel []
2nd International Conference on Systems and Control, Morocco, June 20-22, 2012
2nd International Conference on Systems and Control (2012)
June 20-22, 2012
[en] Fractional-order systems ; functional observer ; existence condition ; linear matrix inequality (LMI) ; unknown input ; stability
[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.

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