Modeling heat distribution with the use of a non-integer order, state space model

• Autorzy: Oprzędkiewicz K. , Gawin E. , Mitkowski W.

Identyfikatory

DOI

10.1515/amcs-2016-0052

• Języki publikacji: EN

Abstrakty

EN

A new, state space, non-integer order model for the heat transfer process is presented. The proposed model is based on a Feller semigroup one, the derivative with respect to time is expressed by the non-integer order Caputo operator, and the derivative with respect to length is described by the non-integer order Riesz operator. Elementary properties of the state operator are proven and a formula for the step response of the system is also given. The proposed model is applied to the modeling of temperature distribution in a one dimensional plant. Results of experiments show that the proposed model is more accurate than the analogical integer order model in the sense of the MSE cost function.

Słowa kluczowe

EN

non-integer order system; heat transfer equation; infinite dimensional system; Feller semigroups

PL

układ niecałkowitego rzędu; wymiana ciepła; układ nieskończenie wymiarowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2016
• Tom: Vol. 26, no. 4
• Strony: 749--756
• Opis fizyczny: Bibliogr. 30 poz., rys., tab., wykr.

Twórcy

autor

Oprzędkiewicz K.

• Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, al. A. Mickiewicza 30, 30-079 Kraków, Poland

autor

Gawin E.

• Department of Computer Sciences, High Vocational School in Tarnów, al. A Mickiewicza 8, 33-100 Tarnów, Poland

autor

Mitkowski W.

• Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, al. A. Mickiewicza 30, 30-079 Kraków, Poland

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.