The realization of fractional-order controllers is based on the approximation of the irrational operators by continuous or discrete transfer functions. However, at high sampling frequencies, discrete z-transfer functions approximations can be very sensitive even to small changes in coefficient values. This technical note proposes a realization of s^nu, in terms of transfer functions in the complex delta-domain, which improves considerably the robustness of the approximation to parameter changes and then to truncation in transfer function coefficients applied for implementation with finite word length.

High-Speed Digital Realizations of Fractional Operators in the Delta Domain / Maione, Guido. - In: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - ISSN 0018-9286. - 56:3(2011), pp. 697-702. [10.1109/TAC.2010.2101134]

High-Speed Digital Realizations of Fractional Operators in the Delta Domain

MAIONE, Guido
2011-01-01

Abstract

The realization of fractional-order controllers is based on the approximation of the irrational operators by continuous or discrete transfer functions. However, at high sampling frequencies, discrete z-transfer functions approximations can be very sensitive even to small changes in coefficient values. This technical note proposes a realization of s^nu, in terms of transfer functions in the complex delta-domain, which improves considerably the robustness of the approximation to parameter changes and then to truncation in transfer function coefficients applied for implementation with finite word length.
2011
High-Speed Digital Realizations of Fractional Operators in the Delta Domain / Maione, Guido. - In: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - ISSN 0018-9286. - 56:3(2011), pp. 697-702. [10.1109/TAC.2010.2101134]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/5125
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