On simplified forms of the fractional-order backward difference and related fractional-order linear discrete-time system description

• Autorzy: Ostalczyk P.

Identyfikatory

DOI

10.1515/bpasts-2015-0048

• Języki publikacji: EN

Abstrakty

EN

In this paper three simplified forms of the fractional-order (FO) backward difference (BD) are proposed and analysed. Due to time and frequency characteristics criteria parameters of simplified forms of the FOBDs are chosen. Applications of the simplified forms of the FOBDs diminish a number of multiplications and additions needed to evaluate the FOBD. This is very important in real-time microprocessor calculations. It is proved that in a discrete state-space description of a fractional-order system one should correct the input matrix with simplified forms of the FOBD. Investigations are supported by two numerical examples.

Słowa kluczowe

EN

fractional calculus; discrete-time system response

PL

ułamkowy rachunek różniczkowy; czas reakcji; system dyskretny

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2015
• Tom: Vol. 63, nr 2
• Strony: 457--464
• Opis fizyczny: Bibliogr. 15 poz., wykr.

Twórcy

autor

Ostalczyk P.

• Institute of Applied Computer Science, Lodz University of Technology, 18/22 Stefanowskiego St., 90-924 Łódź, Poland

Bibliografia

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