POLISH ACADEMY of SCIENCES
TECHNICAL SCIENCES
| BULLETIN
of the
POLISH ACADEMY of SCIENCES TECHNICAL SCIENCES |
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| Volume
58, Issue 4, December 2010
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| Aims&Scope, Subscription | Editors | Authors' guide | to read PDF files | mirror: http://fluid.ippt.gov.pl/~bulletin/ |
| pp 583 - 592 |
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Some applications of fractional order calculus |
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| A. DZIELINSKI, D. SIEROCIUK, and G. SARWAS |
| This paper presents some recent results in the area of application of fractional order system models. After the introduction to the dynamic systems modelling with the fractional order calculus the paper concentrates on the possibilities of using this approach to the modelling of real-world phenomena. Two examples of such systems are considered. First one is the ultracapacitor where fractional order models turn out to be more precise in the wider range of frequencies than other models used so far. Another example is the beam heating problem where again the fractional order model allows to obtain better modelling accuracy. The theroetical models were tested experimentally and the results of these experiments are described in the paper. |
| Key words: |
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fractional order, state-space system, ultracapacitors modelling, heat transfer models |
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| Copyright ® Bulletin of the Polish Academy of Sciences: Technical Sciences |
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