@misc{Krajewski_Wiesław_A_2012, author={Krajewski, Wiesław and Viaro, Umberto}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2012}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={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.}, title={A method for the integer-order approximation of fractional-order systems}, type={Text}, URL={http://www.rcin.org.pl/Content/144848/PDF/RB-2012-29.pdf}, keywords={Obliczenia przybliżone, Approximation, Fractional-order system, Ułamkowe systemy zamówień}, }