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Schlegel, M. and Čech, M. : Fractal system identification for robust control - the moment approach . 5th international carpathian control conference, p. 1-6, AGH-UST , Krakow , 2004.


In the last decade, several authors focus on fractional-order systems (called also fractal systems), which can describe reality better than classical integer-order models. The fractional-order description is based on generalized fractional order derivative and integral operators. This paper deals with fractional order system identification for the purpose of a robust controller design. The proposed method combines two pieces of information: a priori information and experimental data. Firstly, the class of all admissible process models is defined as the set of all a priori admissible transfer functions which are consistent with experimental data (moments of the system). Using a value set approach, the parameterization of all so called extreme transfer functions (those that are important for robust design) is presented.

Detail of publication

Title: Fractal system identification for robust control - the moment approach
Author: Schlegel, M. ; Čech, M.
Language: English
Date of publication: 25 May 2004
Year: 2004
Type of publication: Papers in proceedings of reviewed conferences
Title of journal or book: 5th international carpathian control conference
Page: 1 - 6
ISBN: 83-89772-00-0
Publisher: AGH-UST
Address: Krakow
Date: 25 May 2004 - 28 May 2004
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fractional order systems, identification, moments, value set, robust design


 author = {Schlegel, M. and \v{C}ech, M.},
 title = {Fractal system identification for robust control - the moment approach},
 year = {2004},
 publisher = {AGH-UST },
 journal = {5th international carpathian control conference},
 address = {Krakow },
 pages = {1-6},
 ISBN = {83-89772-00-0},
 url = {},