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Approximation of Fractional-Order Operators
El-Khazali R., Batiha I.M.,
Published in Springer
Volume: 303
Pages: 121 - 151
In order to deal with some difficult problems in fractional-order systems, like computing analytical time responses such as unit impulse and step responses; some rational approximations for the fractional-order operators are presented with satisfying results in simulation and realization. In this chapter, several comparisons in the time response and Bode results between four well-known methods; Oustaloup’s method, Matsuda’s method, AbdelAty’s method, and El-Khazali’s method are made for the rational approximation of fractional-order operator (fractional Laplace operator). The various methods along with their advantages and limitations are described in this chapter. Simulation results are shown for different orders of the fractional operator. It has been shown in several numerical examples that the El-Khazali’s method is very successful in comparison with Oustaloup’s, Matsuda’s, and AbdelAty’s methods. © 2019, Springer Nature Singapore Pte Ltd.
About the journal
JournalData powered by TypesetSpringer Proceedings in Mathematics and Statistics
PublisherData powered by TypesetSpringer
Open AccessNo