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Analogue realisation of fractional-order integrator, differentiator and fractional PI/spl lambda/D/spl mu/ controller

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1 Author(s)
Charef, A. ; Dept. d'Electronique, Univ. Mentouri de Constantine

The fractional-order differentiator sm, integrator s -m (0<m<1) and the fractional PIlambdaD mu controller are studied. A very simple method, useful in system and control theory, which consists of approximating, for a given frequency band, these fractional-order operators by a rational function, is presented. Simple analogue circuits that can serve as analogue fractional-order integrator and fractional-order differentiator are also obtained. A rational function and an analogue circuit realisation of the fractional PIlambdaDmu controller are also derived. Illustrative examples are presented to show the usefulness of the method

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Control Theory and Applications, IEE Proceedings  (Volume:153 ,  Issue: 6 )