Creator:

Oprzędkiewicz, Krzysztof ; Gawin, Edyta ; Mitkowski, Wojciech (1946- )

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

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

Group publication title:

AMCS, Volume 26 (2016)

Subject and Keywords:

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

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

Date:

2016

Resource Type:

artykuł

DOI:

10.1515/amcs-2016-0052

Pages:

749-756

Source:

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

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego