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

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 system...

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Main Author: Vilem Karsky
Format: Article
Language:English
Published: Brno University of Technology 2018-06-01
Series:Mendel
Subjects:
Online Access:https://mendel-journal.org/index.php/mendel/article/view/26
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author Vilem Karsky
author_facet Vilem Karsky
author_sort Vilem Karsky
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description 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.
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spelling doaj.art-8e27c90eea4f47f3ab1edd35d192188a2022-12-21T20:03:31ZengBrno University of TechnologyMendel1803-38142571-37012018-06-0124110.13164/mendel.2018.1.07926Parameterizing Generalized Laguerre Functions to Compute the Inverse Laplace Transform of Fractional Order Transfer FunctionsVilem KarskyThis 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.https://mendel-journal.org/index.php/mendel/article/view/26Fractional order systemsgeneralized Laguerre functionsfree parametersinverse Laplace transform
spellingShingle Vilem Karsky
Parameterizing Generalized Laguerre Functions to Compute the Inverse Laplace Transform of Fractional Order Transfer Functions
Mendel
Fractional order systems
generalized Laguerre functions
free parameters
inverse Laplace transform
title Parameterizing Generalized Laguerre Functions to Compute the Inverse Laplace Transform of Fractional Order Transfer Functions
title_full Parameterizing Generalized Laguerre Functions to Compute the Inverse Laplace Transform of Fractional Order Transfer Functions
title_fullStr Parameterizing Generalized Laguerre Functions to Compute the Inverse Laplace Transform of Fractional Order Transfer Functions
title_full_unstemmed Parameterizing Generalized Laguerre Functions to Compute the Inverse Laplace Transform of Fractional Order Transfer Functions
title_short Parameterizing Generalized Laguerre Functions to Compute the Inverse Laplace Transform of Fractional Order Transfer Functions
title_sort parameterizing generalized laguerre functions to compute the inverse laplace transform of fractional order transfer functions
topic Fractional order systems
generalized Laguerre functions
free parameters
inverse Laplace transform
url https://mendel-journal.org/index.php/mendel/article/view/26
work_keys_str_mv AT vilemkarsky parameterizinggeneralizedlaguerrefunctionstocomputetheinverselaplacetransformoffractionalordertransferfunctions