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Identification of fractional-order transfer functions using a step excitation

Jacyntho, L. A., Teixeira, M. C. M., Assuncão, E., Cardim, R., Galvão, R. K. H. and Hadjiloucas, S. ORCID: (2015) Identification of fractional-order transfer functions using a step excitation. IEEE Transactions on Circuits and Systems II, Express Briefs, 62 (9). pp. 896-900. ISSN 1549-7747

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To link to this item DOI: 10.1109/TCSII.2015.2436052


This brief proposes a new method for the identification of fractional order transfer functions based on the time response resulting from a single step excitation. The proposed method is applied to the identification of a three-dimensional RC network, which can be tailored in terms of topology and composition to emulate real time systems governed by fractional order dynamics. The results are in excellent agreement with the actual network response, yet the identification procedure only requires a small number of coefficients to be determined, demonstrating that the fractional order modelling approach leads to very parsimonious model formulations.

Item Type:Article
Divisions:Life Sciences > School of Biological Sciences > Department of Bio-Engineering
ID Code:43183
Uncontrolled Keywords:Analog circuit simulation, fractional-order systems, RC circuits, system identification.


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