Approximation of second order dead time system using generalized Laguerre functions

Approximation of second order dead time system using generalized Laguerre functions

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The aim of this test is to show that when approximating a 2nd order system with one double pole and with a dead time (DT), the approximation with the generalized Laguerre Function (GLF) for large DT gives better results than with the simple Laguerre function. For a given required square error (ISE), the GLF series has a smaller number of terms. However, for small DT, there is an area in which the SLF approximation gives a smaller ISE error.

The aim of this test is to show that when approximating a 2nd order system with one double pole and with a dead time (DT), the approximation with the generalized Laguerre Function (GLF) for large DT gives better results than with the simple Laguerre function. For a given required square error (ISE), the GLF series has a smaller number of terms. However, for small DT, there is an area in which the SLF approximation gives a smaller ISE error.

Generalized Laguerre function, Simple Laguerre function, Dead time

Generalized Laguerre function, Simple Laguerre function, Dead time

TŮMA, M.; JURA, P.; KÁRSKÝ, V.

2023

06.04.2022

American Institute of Physics Inc.

9780735441828

International Conference on Numerical Analysis and Applied Mathematics 2020, ICNAAM 2020

2425

0094-243X

AIP conference proceedings

2425

1

Spojené státy americké

270005-1

270005-4

4

https://doi.org/10.1063/5.0081560