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

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1 Author(s)
Maione, G. ; Dept. of Environ. Eng. & Sustainable Dev., Tech. Univ. of Bari, Taranto, Italy

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 sν , 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.

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Automatic Control, IEEE Transactions on  (Volume:56 ,  Issue: 3 )