Time-domain approximations to the Grünwald-Letnikov difference with application to modeling of fractional-order state space systems

This paper presents a general, modified framework for various time-domain approximations to the Grünwald-Letnikov fractional difference, namely finite fractional and Laguerre-based differences. The approximations are applied in the modeling problem for linear fractional-order state space systems, w...

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Published in2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR) pp. 579 - 584
Main Authors Stanislawski, Rafal, Latawiec, Krzysztof J., Lukaniszyn, Marian, Galek, Marcin
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.08.2015
Subjects
Approximation methods
Computational modeling
Explosions
Finite impulse response filters
Mathematical model
Time-domain analysis
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DOI10.1109/MMAR.2015.7283939

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Summary:This paper presents a general, modified framework for various time-domain approximations to the Grünwald-Letnikov fractional difference, namely finite fractional and Laguerre-based differences. The approximations are applied in the modeling problem for linear fractional-order state space systems, with two different implementation schemes presented.
DOI:10.1109/MMAR.2015.7283939