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Zbl 1041.93022
Podlubny, I.; Petráš, I.; Vinagre, B. M.; O'Leary, P.; Dorčák, L'.
Anlogue realizations of fractional-order controllers. (English)
[J] Nonlinear Dyn. 29, No. 1-4, 281-296 (2002). ISSN 0924-090X; ISSN 1573-269X/e

Authors' summary: An approach to the design of analogue circuits, implementing fractional-order controllers, is presented. The suggested approach is based on the use of continued fraction expansions; in the case of negative coefficients in a continued fraction expansion, the use of negative impedance converters is proposed. Several possible methods for obtaining suitable rational appromixations and continued fraction expansions are discussed. An example of realization of a fractional-order $I^\lambda$ controller is presented and illustrated by obtained measurements. The suggested approach can be used for the control of very fast processes, where the use of digital controllers is difficult or impossible.
[Yasuo Sugai (Chiba-shi)]

MSC 2000:: *93B51 Design techniques in systems theory
93C80 Frequency-response methods

Keywords: fractional calculus; fractional differentiation; fractional integration

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Zentralblatt MATH Berlin [Germany]