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
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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