caa a22 4500 606205489 CHVBK 20210128101007.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s00034-015-0036-2 doi (NATIONALLICENCE)springer-10.1007/s00034-015-0036-2 Amairi M. Research Unit Modeling, Analysis and Control of Systems (MACS)06/UR/11-12, National Engineering School of Gabes (ENIG), University of Gabes, Omar Ibn el Khattab Street, 6029, Gabès, Tunisia aut Recursive Set-Membership Parameter Estimation Using Fractional Model [Elektronische Daten] [M. Amairi] This paper deals with time-domain set-membership parameter estimation using fractional model in case of unknown-but-bounded equation error with a priori known noise bounds. In such bounded-error context, the main goal is to characterize the set of all feasible parameters compatible with the model, the measured data and some prior error bounds. The characterization is done using the outer bounding ellipsoid strategy adapted for fractional system parameters estimation. To ensure good convergence of the used algorithms, several procedures for the selection of the more suitable excitation signal and for the equation-error bound computation are proposed and discussed. When the system is commensurate, an iterative algorithm is proposed to deal with commensurate order estimation. The performances of the proposed schemes are illustrated by a numerical example via Monte Carlo simulations and through a real application of the proposed set-membership identification method on an electronic system. Springer Science+Business Media New York, 2015 Bounded error nationallicence Ellipsoid algorithm nationallicence Fractional calculus nationallicence Parameter estimation nationallicence Set-membership nationallicence Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/12(2015-12-01), 3757-3788 0278-081X 34:12<3757 2015 34 34 https://doi.org/10.1007/s00034-015-0036-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-015-0036-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Amairi M. Research Unit Modeling, Analysis and Control of Systems (MACS)06/UR/11-12, National Engineering School of Gabes (ENIG), University of Gabes, Omar Ibn el Khattab Street, 6029, Gabès, Tunisia aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/12(2015-12-01), 3757-3788 0278-081X 34:12<3757 2015 34 34