Creator:

Oprzędkiewicz, Krzysztof ; Mitkowski, Wojciech (1946- )

Contributor:

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

Title:

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

Group publication title:

AMCS, volume 28 (2018)

Subject and Keywords:

noninteger-order systems ; heat transfer equation ; infinite dimensional systems ; continuous fraction expansion ; stability

Abstract:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2018

Resource Type:

artykuł

DOI:

10.2478/amcs-2018-0050

Pages:

649-659

Source:

AMCS, volume 28, number 4 (2018) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego