Non integer order, discrete, state space model of heat transfer process using Grünwald-Letnikov operator

• Autorzy: Oprzędkiewicz K. , Dziedzic K. , Więckowski Ł.

Identyfikatory

DOI

10.24425/bpasts.2019.130873

• Języki publikacji: EN

Abstrakty

EN

The paper is intented to show a new, state space, discrete, non integer order model of a one-dimensional heat transfer process. The proposed model derives directly from time continuous, state space model and it uses the discrete Grünwald-Letnikov operator to express the fractional order difference with respect to time. Stability and spectrum decomposition for the proposed model are recalled, the accuracy and convergence are analyzed too. The convergence of the proposed model does not depend on parameters of heater and measuring sensors. The dimension of the model assuring stability and predefined rate of convergence and stability is estimated. Analytical results are confirmed by experiments.

Słowa kluczowe

EN

non integer order systems; heat transfer; fractional order state equation; fractional order backward difference; Grünwald-Letnikov operator; convergence

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2019
• Tom: Vol. 67, nr 5
• Strony: 905--914
• Opis fizyczny: Bibliogr. 31 poz., rys., tab.

Twórcy

autor

Oprzędkiewicz K.

• AGH University of Science and Technology, al. A. Mickiewicza 30, 30-059 Kraków, Poland

autor

Dziedzic K.

• AGH University of Science and Technology, al. A. Mickiewicza 30, 30-059 Kraków, Poland

autor

Więckowski Ł.

• AGH University of Science and Technology, al. A. Mickiewicza 30, 30-059 Kraków, Poland

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).