|Rational Approximation of Fractional Order Systems by Vector Fitting Method
Bin Du, Yiheng Wei, Shu Liang, and Yong Wang*
International Journal of Control, Automation, and Systems, vol. 15, no. 1, pp.186-195, 2017
Abstract : "A novel method for approximating fractional order systems is presented. Vector fitting is involved in this
method. As the basis of approximation of fractional order systems, approximation of fractional order operators is
mostly achieved by curve fitting in frequency domain, such as the well-known Oustaloup’s method. However, these
methods have several serious defects in principle. A new perspective based on system identification is adopted
to deal with approximation of fractional order operators in this paper. Moreover, nonzero initial condition for
approximating fractional order systems is considered. And the proposed assignment of initial values for the Caputo
case offers an effective solution for the simulation with nonzero initial condition. Finally, numerical examples are
given to verify the efficiency of the proposed method."
Approximation, factional order systems, frequency distributed models, vector fitting.
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