document: Analogue realizations of fractional-order controllers 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 approximations and continued fraction expansions are discussed . An example of realization of a fractional-order I/sup 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
doc_bio_tags: B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O B I O O O B I O O O O B I I O O O O O O O O O B I O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O B I O O O O
extractive_keyphrases: analogue realizations continued fraction expansions negative coefficients fraction expansion negative impedance converters rational approximations fast processes digital controllers
abstractive_keyphrases: fractional-order controllers fractional differentiation fractional integration