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Mertl Jiří and Čech Martin and Schlegel Miloš : Fractional-order pole simulator based on exact step response discretization . Proceedings of 9th International Carpathian Control Conference ICCC'08, vol. ;, p. 422-425, University of Craiova, Sinaia, Rumunsko, 2008.

Abstract

In the last few years, there is a growing interest in fractional calculus (FC) in many technical areas including process control. The fractional-order pole models (FOPM) were proved as suitable for modelling processes with monotone step response. Due to implementation aspects, the time-domain simulation of FOPM is quite difficult. Usually, several high order continuous approximations are used. This paper describes a new fractional pole simulator based on exact step response discretization. The main idea is the numerical integration of an exact analytic expression of fractional-order (FO) pole impulse response. The resulting step response is sampled with given period and a corresponding discrete impulse response is obtained. Finally, the impulse response is used to perform convolution in individual MATLAB/Simulink s-function block.

Detail of publication

Title: Fractional-order pole simulator based on exact step response discretization
Author: Mertl Jiří ; Čech Martin ; Schlegel Miloš
Language: English
Year: 2008
Type of publication: Papers in proceedings of reviewed conferences
Title of journal or book: Proceedings of 9th International Carpathian Control Conference ICCC'08
Číslo vydání: ;
Page: 422 - 425
ISBN: 978-973-746-897-0
Publisher: University of Craiova
Address: Sinaia, Rumunsko
Date: 28 May 2008
2011-03-15 16:21:32 / 2011-03-15 16:21:32 / 1

Keywords

Fractional calculus, fractional-order pole model, step response, discretization, Simulink function block

BibTeX

@INPROCEEDINGS{MertlJiri_2008_Fractional-orderpole,
 author = {Mertl Ji\v{r}\'{i} and \v{C}ech Martin and Schlegel Milo\v{s}},
 title = {Fractional-order pole simulator based on exact step response discretization},
 year = {2008},
 publisher = {University of Craiova},
 journal = {Proceedings of 9th International Carpathian Control Conference ICCC'08},
 address = {Sinaia, Rumunsko},
 volume = {;},
 pages = {422-425},
 ISBN = {978-973-746-897-0},
 url = {http://www.kky.zcu.cz/en/publications/MertlJiri_2008_Fractional-orderpole},
}