This paper concerns the approximate inversion of fractional order transfer functions. The approximating solution is of the form of a weighted sum of Laguerre functions. The weights of the sum are found from a simple generating expression. As case study, the inversion of the Laplace transform of the Abel’s equation is considered.
Inverting Fractional Order Transfer Functions through Laguerre Approximation / Maione, Guido. - In: SYSTEMS & CONTROL LETTERS. - ISSN 0167-6911. - STAMPA. - 52:5(2004), pp. 387-393. [10.1016/j.sysconle.2004.02.014]
Inverting Fractional Order Transfer Functions through Laguerre Approximation
Guido Maione
2004-01-01
Abstract
This paper concerns the approximate inversion of fractional order transfer functions. The approximating solution is of the form of a weighted sum of Laguerre functions. The weights of the sum are found from a simple generating expression. As case study, the inversion of the Laplace transform of the Abel’s equation is considered.File in questo prodotto:
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