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Novel direct optimal and indirect method for discretization of linear fractional systems

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Abstract

This paper addresses the problem of discretization of fractional differintegrators and fractional systems in general. Two new discretization schemes are proposed—optimal direct method, and computationally inexpensive indirect method. The proposed methods are highly flexible and suitable for obtaining both general purpose and specialized, application-specific approximations. Both proposed methods outperform recently proposed approximations, as it is shown in several illustrative examples.

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Authors and Affiliations

  1. Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia

    Milan R. Rapaić

  2. Faculty of Electrical Engineering, University of Belgrade, Belgrade, Serbia

    Tomislav B. Šekara

Authors
  1. Milan R. Rapaić
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  2. Tomislav B. Šekara
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Correspondence to Milan R. Rapaić.

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Rapaić, M.R., Šekara, T.B. Novel direct optimal and indirect method for discretization of linear fractional systems. Electr Eng 93, 91–102 (2011). https://doi.org/10.1007/s00202-011-0195-5

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  • DOI: https://doi.org/10.1007/s00202-011-0195-5

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