Abstract
An approach to the design of analogue circuits, implementingfractional-order controllers, is presented. The suggestedapproach is based on the use of continued fraction expansions;in the case of negative coefficients in a continued fractionexpansion, the use of negative impedance converters is proposed.Several possible methods for obtaining suitable rational appromixationsand continued fraction expansions are discussed. An exampleof realization of a fractional-order Iλ controlleris presented and illustrated by obtained measurements.The suggested approach can be used for the control of veryfast processes, where the use of digital controllers isdifficult or impossible.
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Podlubny, I., Petráš, I., Vinagre, B.M. et al. Analogue Realizations of Fractional-Order Controllers. Nonlinear Dynamics 29, 281–296 (2002). https://doi.org/10.1023/A:1016556604320
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DOI: https://doi.org/10.1023/A:1016556604320