Parameterizing Generalized Laguerre Functions to Compute the Inverse Laplace Transform of Fractional Order Transfer Functions

  • Vilem Karsky
Keywords: Fractional order systems, generalized Laguerre functions, free parameters, inverse Laplace transform

Abstract

This article concentrates on using generalized Laguerre functions to compute the inverse Laplace transform of fractional order transfer functions. A novel method for selecting the timescale parameter of generalized Laguerre functions in the operator space is introduced and demonstrated on two systems with fractional order transfer functions.

References

Mione, G.: Inverting fractional order transfer functions through Laguerre approximation. Systems and Control Letters, 52(5), 387-393 (2004).

Podlubny, I.: Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications, Mathematics in science and engineering, vol. 198. Academic Press, San Diego, California (1999)

Associated Laguerre Polynomial. Wolfram Math World http://mathworld.wolfram.com/AssociatedLaguerrePolynomial.html (2017). [Online; accessed 17-May2018]

Belt, H.J.W., den Brinker, A.C.: Optimal parametrization of truncated generalized Laguerre series. 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing (1997). DOI 10.1109/icassp.1997.604708

Published
2018-06-01
How to Cite
[1]
KarskyV. 2018. Parameterizing Generalized Laguerre Functions to Compute the Inverse Laplace Transform of Fractional Order Transfer Functions. MENDEL. 24, 1 (Jun. 2018), 79-84. DOI:https://doi.org/10.13164/mendel.2018.1.079.
Section
Articles