Reference : Design of Unkown Input Fractional-Order Observers for Fractional-Order Systems
Scientific journals : Article
Engineering, computing & technology : Computer science
http://hdl.handle.net/10993/6138
Design of Unkown Input Fractional-Order Observers for Fractional-Order Systems
English
Ndoye, Ibrahima mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Darouach, Mohamed [University of Lorraine > Research Center for Automatic Control of Nancy (CRAN UMR, 7039, CNRS)]
Voos, Holger [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit > ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)]
Zasadzinski, Michel [> >]
2013
International Journal of Applied Mathematics & Computer Science
23
3
491-500
Yes
International
1641-876X
[en] Fractional calculus ; fractional-order systems ; fractional-order observers ; existence condition ; linear matrix inequality (LMI) ; unknown input ; stability
[en] This paper considers a method to design fractional-order 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 the fractional-order observer errors with the fractional-order \alpha satisfying 0<\alpha<2 are derived in terms of linear matrix inequalities. Two numerical examples are given to demonstrate the applicability of the proposed approach where the fractional-order \alpha belongs to 1<\alpha<2 and 0<\alpha<1 respectively. The stability analysis of the fractional-order error system is completed and it is shown that the fractional-order observers are as stable as their integer-order counterpart and guarantee better convergence of the estimation error.
http://hdl.handle.net/10993/6138

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