DocumentCode :
1408835
Title :
High-Speed Digital Realizations of Fractional Operators in the Delta Domain
Author :
Maione, Guido
Author_Institution :
Dept. of Environ. Eng. & Sustainable Dev., Tech. Univ. of Bari, Taranto, Italy
Volume :
56
Issue :
3
fYear :
2011
fDate :
3/1/2011 12:00:00 AM
Firstpage :
697
Lastpage :
702
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 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.
Keywords :
approximation theory; discrete systems; robust control; roundoff errors; transfer functions; complex delta domain; continuous transfer function; discrete transfer function approximation; finite word length; fractional order controller; high-speed digital realization; irrational operator; sampling frequency; $delta$ operator; Delta-domain; differential operator; discretization; fractional calculus; fractional-order control (FOC);
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2010.2101134
Filename :
5672579
Link To Document :
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