Identification of Fractional-Order Transfer Functions Using a Step Excitation

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Jacyntho, Luiz Antonio
Teixeira, Marcelo Carvalho Minhoto [UNESP]
Assunção, Edvaldo [UNESP]
Cardim, Rodrigo [UNESP]
Galvão, Roberto Kawakami Harrop
Hadjiloucas, Sillas
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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 3-D 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 modeling approach leads to very parsimonious model formulations.
analog circuit simulation, Fractional order systems, RC circuits, system identification
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IEEE Transactions on Circuits and Systems II: Express Briefs, v. 62, n. 9, p. 896-900, 2015.