Creator:

Oprzedkiewicz, Krzysztof

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

Variable parameter, fractional order, discrete, inertial transfer function models

Group publication title:

AMCS, volume 36 (2026)

Subject and Keywords:

fractional order transfer function ; Grünwald?Letnikov definition ; variable order FOBD operator ; stability

Abstract:

In the paper, new, fractional order, variable parameter discrete transfer function models of an elementary inertial plant are proposed. One uses a time variable quasi time constant while the other employs a variable time quasi constant and variable fractional order. Both models apply the variable fractional order backward difference to approximate the fractional operator. Both variable parameters are described by discrete, bounded functions. The accuracy and stability of the models considered are discussed. Theoretical results are validated by simulations. The proposed models can be applied to the modeling of various physical phenomena, where the constant parameter transfer function is not enough.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2026

Resource Type:

artykuł

DOI:

10.61822/amcs-2026-0002

Pages:

13-22

Source:

AMCS, volume 36, number 1 (2026) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego