Mathematical and Computer Modelling, volume 51, issue 1-2, pages 53-62
Approximation of high order integer systems by fractional order reduced-parameters models
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Laboratoire de Conception et Conduite des Systèmes de production, Mouloud Mammeri University of Tizi-Ouzou, Algeria
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Publication type: Journal Article
Publication date: 2010-01-01
Computer Science Applications
Modeling and Simulation
Abstract
The approximation of a fractional system, characterized by a long memory, by an integer order transfer function, requires the use of a very high number of parameters. This characteristic is used in this paper to deal with the approximation of large order systems using a high number of parameters fractional models, but using only few parameters. Contrary to the traditional system order reduction methods which, because of reducing the system order, also reduce the number of its parameters, the use of fractional models leads to models using only very few parameters, but of infinite dimension, because of their “long memory” characteristics. This new use of fractional derivative is therefore named reduced-parameters modeling or model compression and is attractive for the analysis and design of large dynamical systems.
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Mansouri R., Fareh R., Megherbi O. Approximation of high order integer systems by fractional order reduced-parameters models // Mathematical and Computer Modelling. 2010. Vol. 51. No. 1-2. pp. 53-62.
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Mansouri R., Fareh R., Megherbi O. Approximation of high order integer systems by fractional order reduced-parameters models // Mathematical and Computer Modelling. 2010. Vol. 51. No. 1-2. pp. 53-62.
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TY - JOUR
DO - 10.1016/j.mcm.2009.07.018
UR - https://doi.org/10.1016/j.mcm.2009.07.018
TI - Approximation of high order integer systems by fractional order reduced-parameters models
T2 - Mathematical and Computer Modelling
AU - Mansouri, Rachid
AU - Fareh, Raouf
AU - Megherbi, Ouerdia
PY - 2010
DA - 2010/01/01
PB - Elsevier
SP - 53-62
IS - 1-2
VL - 51
SN - 0895-7177
ER -
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BibTex (up to 50 authors)
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@article{2010_Mansouri,
author = {Rachid Mansouri and Raouf Fareh and Ouerdia Megherbi},
title = {Approximation of high order integer systems by fractional order reduced-parameters models},
journal = {Mathematical and Computer Modelling},
year = {2010},
volume = {51},
publisher = {Elsevier},
month = {jan},
url = {https://doi.org/10.1016/j.mcm.2009.07.018},
number = {1-2},
pages = {53--62},
doi = {10.1016/j.mcm.2009.07.018}
}
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Mansouri, Rachid, et al. “Approximation of high order integer systems by fractional order reduced-parameters models.” Mathematical and Computer Modelling, vol. 51, no. 1-2, Jan. 2010, pp. 53-62. https://doi.org/10.1016/j.mcm.2009.07.018.