caa a22 4500 606205500 CHVBK 20210128101007.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s00034-015-0046-0 doi (NATIONALLICENCE)springer-10.1007/s00034-015-0046-0 On the Closed-Loop System Identification with Fractional Models [Elektronische Daten] [Z. Yakoub, M. Amairi, M. Chetoui, M. Aoun] In this paper, the fractional closed-loop system identification problem is addressed. Using the indirect approach, which supposes the knowledge of the controller, both coefficients and fractional orders of the process are estimated. The optimal instrumental variable method combined with a nonlinear optimization algorithm is handled to identify the fractional closed-loop transfer function. Also, two techniques are used for model selection the Akaike's information criterion and the $$R_T^2$$ R T 2 criterion. The performances of the proposed scheme are illustrated by a numerical example via Monte Carlo simulation and by real electronic system identification. Springer Science+Business Media New York, 2015 Closed-loop nationallicence Fractional model nationallicence Identification nationallicence Instrumental variable nationallicence Least squares nationallicence Yakoub Z. 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, Gabes, Tunisia aut 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, Gabes, Tunisia aut Chetoui 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, Gabes, Tunisia aut Aoun 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, Gabes, Tunisia aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/12(2015-12-01), 3833-3860 0278-081X 34:12<3833 2015 34 34 https://doi.org/10.1007/s00034-015-0046-0 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/s00034-015-0046-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yakoub Z. 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, Gabes, Tunisia aut NATIONALLICENCE 700 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, Gabes, Tunisia aut NATIONALLICENCE 700 1- Chetoui 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, Gabes, Tunisia aut NATIONALLICENCE 700 1- Aoun 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, Gabes, Tunisia aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/12(2015-12-01), 3833-3860 0278-081X 34:12<3833 2015 34 34