Non integer order, state space model of heat transfer process using Caputo-Fabrizio operator

• Autorzy: Oprzędkiewicz K.

Identyfikatory

DOI

10.24425/122105

• Języki publikacji: EN

Abstrakty

EN

The paper is intended to show a new state space, non integer order model of an one-dimensional heat transfer process. The proposed model derives directly from time continuous, state space semigroup model. The fractional order derivative with respect to time is by a new operator proposed by Caputo and Fabrizio, the non integer order spatial derivative is expressed by Riesz operator. The Caputo-Fabrizio operator can be directly implementated using MATLAB, because it does not require us to apply any approximation. Analytical formulae of step response are given, the system decomposition was discussed also. Main results from the paper show that the use of Caputo Fabrizio operator allows us to obtain the simple in implementation and analysis model of the considered heat transfer process. The accuracy of the proposed model in the sense of a MSE cost function is satisfying.

Słowa kluczowe

EN

non-integer order systems; heat transfer equation; infinite dimensional systems; fractional order state equation; Riesz operator; Caputo operator; Caputo-Fabrizio operator

PL

systemy niecałkowitego rzędu; układ niecałkowitego rzędu; twierdzenie Riesza; pochodna Caputo

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2018
• Tom: Vol. 66, nr 3
• Strony: 249--255
• Opis fizyczny: Bibliogr. 33 poz., rys., wykr.

Twórcy

autor

Oprzędkiewicz K.

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

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).