- Tytuł:
- Non integer order, discrete, state space model of heat transfer process using Grünwald-Letnikov operator
- Autorzy:
-
Oprzędkiewicz, K.
Dziedzic, K.
Więckowski, Ł. - Powiązania:
- https://bibliotekanauki.pl/articles/200257.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
non integer order systems
heat transfer
fractional order state equation
fractional order backward difference
Grünwald-Letnikov operator
convergence - Opis:
- The paper is intented to show a new, state space, discrete, non integer order model of a one-dimensional heat transfer process. The proposed model derives directly from time continuous, state space model and it uses the discrete Grünwald-Letnikov operator to express the fractional order difference with respect to time. Stability and spectrum decomposition for the proposed model are recalled, the accuracy and convergence are analyzed too. The convergence of the proposed model does not depend on parameters of heater and measuring sensors. The dimension of the model assuring stability and predefined rate of convergence and stability is estimated. Analytical results are confirmed by experiments.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 5; 905-914
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł