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Analogue realisation of fractional-order integrator, differentiator and fractional PIλDµ controller

Analogue realisation of fractional-order integrator, differentiator and fractional PIλDµ controller

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The fractional-order differentiator sm, integrator sm (0<m<1) and the fractional PIλDµ 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 PIλDµ controller are also derived. Illustrative examples are presented to show the usefulness of the method.

References

    1. 1)
      • S. Manabe . The non-integer integral and its application to control systems. ETJ Japan , 83 - 87
    2. 2)
      • M. Ichise , Y. Nagayanagi , T. Kojima . An analog simulation of non-integer order transfer functions for analysis of electrode processes. J. Electroanal. Chem. , 253 - 265
    3. 3)
      • H.H. Sun , B. Onaral . A unified approach to represent metal electrode polarization. IEEE Trans. Biomed. Eng. , 399 - 406
    4. 4)
      • A. Oustaloup . (1983) Systèmes asservis linéaires d'ordre fractionnaire: théorie et pratique.
    5. 5)
      • P.J. Torvik , R.L. Bagley . On the appearance of the fractional derivative in the behavior of real materials. Trans. ASME , 294 - 298
    6. 6)
      • I. Podlubny . (1994) Fractional-order systems and fractional-order controllers.
    7. 7)
      • K.S. Miller , B. Ross . (1993) An introduction to the fractional calculus and fractional differential equations.
    8. 8)
      • I. Podlubny . (1999) Fractional differential equations.
    9. 9)
      • I. Petras , I. Podlubny , P. O'Leary , L. Dorcak , B.M. Vinagre . (2002) Analogue realization of fractional-order controllers.
    10. 10)
      • H.H. Sun , A. Charef , Y.Y. Tsao , B. Onaral . Analysis of polarization dynamics by singularity decomposition method. Ann. Biomed. Eng. , 597 - 621
    11. 11)
      • A. Charef , H.H. Sun , Y.Y. Tsao , B. Onaral . Fractal system as represented by singularity function. IEEE Trans. Autom. Control , 9 , 1465 - 1470
    12. 12)
      • I. Podlubny . Fractional-order systems and PIλDµ controllers. IEEE Trans. Autom. Control , 1 , 208 - 214
    13. 13)
      • Caponetto, R., Fortuna, L., Porto, D.: `A new tuning strategy for a non-integer order controller', Proc. 1st IFAC Workshop on Fractional Differentiation and its Applications FDA'04, July 2004, Bordeaux, France.
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