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

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

Creator:

Oprzędkiewicz, Krzysztof ; Gawin, Edyta ; Mitkowski, Wojciech

Resource Type:

artykuł

Contributor:

Korbicz, Józef - red. ; Uciński, Dariusz - red.

Group publication title:

AMCS, Volume 26 (2016)

Abstract:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Resource Identifier:

oai:zbc.uz.zgora.pl:79207

DOI:

10.1515/amcs-2016-0052

Pages:

749-756

Source:

AMCS, volume 26, number 4 (2016) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

non-integer order systems heat transfer equation infinite dimensional systems Feller semigroups

Object collections:

Last modified:

May 22, 2024

In our library since:

May 22, 2024

Number of object content hits:

14

All available object's versions:

https://zbc.uz.zgora.pl/repozytorium/publication/89040

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Edition name Date
Modeling heat distribution with the use of a non-integer order, state space model May 22, 2024

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