A memory-efficient noninteger-order discrete–time state–space model of a heat transfer process

• Autorzy: Oprzędkiewicz K. , Mitkowski W.

Identyfikatory

DOI

10.2478/amcs-2018-0050

• Języki publikacji: EN

Abstrakty

EN

A new, state space, discrete-time, and memory-efficient model of a one-dimensional heat transfer process is proposed. The model is derived directly from a time-continuous, state-space semigroup one. Its discrete version is obtained via a continuous fraction expansion method applied to the solution of the state equation. Fundamental properties of the proposed model, such as decomposition, stability, accuracy and convergence, are also discussed. Results of experiments show that the model yields good accuracy in the sense of the mean square error, and its size is significantly smaller than that of the model employing the well-known power series expansion approximation.

Słowa kluczowe

EN

noninteger order system; heat transfer equation; infinite dimensional system; continuous fraction expansion

PL

układ niecałkowitego rzędu; wymiana ciepła; układ nieskończenie wymiarowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2018
• Tom: Vol. 28, no. 4
• Strony: 649--659
• Opis fizyczny: Bibliogr. 40 poz., rys., tab., wykr.

Twórcy

autor

Oprzędkiewicz K.

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

autor

Mitkowski W.

• Department of Automatics and Robotics, AGH University of Science and Technology, al. Mickiewicza 30, 30-079 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).