Anlogue realizations of fractional-order controllers. (English) Zbl 1041.93022

Podlubny, I.; Petráš, I.; Vinagre, B. M.; O’Leary, P.; Dorčák, L’.

Nonlinear Dyn. 29, No. 1-4, 281-296 (2002).

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.

Reviewer: Yasuo Sugai (Chiba-shi)

MSC:

93B51	Design techniques (robust design, computer-aided design, etc.)
93C80	Frequency-response methods in control theory

Keywords:

fractional calculus; fractional differentiation; fractional integration

Software:

CRONE