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Design of Digital Fractional-Order Integrators and Differentiators by Least Squares
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Orientador(es)
Resumo(s)
In this paper we develop a method for obtaining digital rational approximations
(IIR filters) to fractional-order operators of type sα, where α ∈ .
The proposed method is based on the least-squares (LS) minimization between the
impulse responses of the digital fractional-order integrator/differentiator and of the
rational-fraction approximation. The results reveal that the LS approach gives similar
or superior approximations in comparison with other methods. The effectiveness
of the method is demonstrated both in the time and frequency domains through an
illustrative example.
Descrição
First IFAC Workshop on Fractional Differentiation and Its Application - 19-21 July 2004, Enseirb, Bordeaux, France - FDA'04