A method for the integer-order approximation of fractional-order systems

A procedure for approximating fractional-order systems by means of integer-order state-space models is presented. It is based on the rational approximation of fractional-order operators suggested by Oustaloup. First, a matrix differential equation is obtained from the original fractional-order repre...

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Bibliographic Details
Published in:Journal of the Franklin Institute 2014-01, Vol.351 (1), p.555-564
Main Authors: Krajewski, W., Viaro, U.
Format: Article
Language:English
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Summary:A procedure for approximating fractional-order systems by means of integer-order state-space models is presented. It is based on the rational approximation of fractional-order operators suggested by Oustaloup. First, a matrix differential equation is obtained from the original fractional-order representation. Then, this equation is realized in a state-space form that has a sparse block-companion structure. The dimension of the resulting integer-order model can be reduced using an efficient algorithm for rational L2 approximation. Two numerical examples are worked out to show the performance of the suggested technique.
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2013.09.005