Identification of Fractional-Order Transfer Functions Using a Step Excitation

Author(s)

Jacyntho, Luiz Antonio ^[1] ; Minhoto Teixeira, Marcelo Carvalho ^[2] ; Assuncao, Edvaldo ^[2] ; Cardim, Rodrigo ^[2] ; Harrop Galvao, Roberto Kawakami ^[3] ; Hadjiloucas, Sillas ^[4]

Affiliation

^[1] Univ Estado Mato Grosso, Dept Math, BR-78390000 Barra Do Bugres, MT - Brazil

^[2] UNESP Univ Estadual Paulista, Dept Elect Engn, BR-15385000 Ilha Solteira, SP - Brazil

^[3] Inst Tecnol Aeronaut, Dept Elect Engn, BR-12228900 Sao Jose Dos Campos, SP - Brazil

^[4] Univ Reading, Sch Syst Engn, Reading RG6 6AY, Berks - England

• Document type: Journal article
• Source: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS; v. 62, n. 9, p. 896-900, SEP 2015.
• Web of Science Citations: 17

Abstract

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. (AU)

• FAPESP's process: 11/13777-8 - Time domain terahertz spectroscopy: development of analytical methods, signal processing techniques, biochemical and fundamental studies
• Grantee: Celio Pasquini
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 11/17610-0 - Monitoring and control of dynamic systems subject to faults
• Grantee: Roberto Kawakami Harrop Galvão
• Support Opportunities: Research Projects - Thematic Grants