Optimal input signal design for fractional-order system identification

Wiktor Jakowluk


The optimal design of excitation signal is a procedure of generating an informative input signal to extract the model parameters with maximum pertinence during the identification process. The fractional calculus provides many new possibilities for system modeling based on the definition of a derivative of noninteger-order. A novel optimal input design methodology for fractional-order systems identification is presented in the paper. The Oustaloup recursive approximation (ORA) method is used to obtain the fractional-order differentiation in an integer order state-space representation. Then, the presented methodology is utilized to solve optimal input design problem for fractional-order system identification. The fundamental objective of this approach is to design an input signal that yields maximum information on the value of the fractional-order model parameters to be estimated. The method described in this paper was verified using a numerical example, and the computational results were discussed.
Author Wiktor Jakowluk (FCS/DDMCG)
Wiktor Jakowluk,,
- Department of Digital Media and Computer Graphics
Journal seriesBulletin of the Polish Academy of Sciences, Technical Sciences, ISSN 0239-7528, (N/A 100 pkt)
Issue year2019
Publication size in sheets0.50
ConferenceInternational Conference on Fractional Signals and Systems (FSS 2017), 2017, 09-10-2017 - 11-10-2017, Łódź , Polska
Keywords in Englishfractional calculus, optimal input design, Oustaloup recursive method, parameter identification
ASJC Classification Artificial Intelligence1702; Computer Networks and Communications1705; Information Systems1710; General Engineering2200; Atomic and Molecular Physics, and Optics3107
URL http://www.czasopisma.pan.pl/dlibra/publication/127336/edition/111101/content
Internal identifier000045055
Languageen angielski
LicenseUznanie Autorstwa - Użycie Niekomercyjne - Bez utworów zależnych (CC-BY-NC-ND)
Score (nominal)100
Score sourcejournalList
ScoreBUT score = 24.0, 22-05-2019
Ministerial score = 100.0, 03-04-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 1.293; WoS Impact Factor: 2018 = 1.277 (2) - 2018=1.256 (5)
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