N2 - Abstract
In the paper a new, state space, non integer order model for one dimensional heat transfer process is presented. The model is based on known semigroup model. The derivative with respect to time is described by the non integer order Caputo operator, the spatial derivative is described by integer order operator. The elementary properties of the state operator are proven. The solution of state equation is calculated with the use of Laplace transform. Results of experiments show, that the proposed model is more accurate than analogical integer order model in the sense of square cost function.
JO - Archives of Control Sciences
L1 - http://www.czasopisma.pan.pl/Content/84429/PDF/acsc-2016-0015.pdf
L2 - http://www.czasopisma.pan.pl/Content/84429
IS - No 2
ER -
A1 - Gawin, Edyta
A1 - OprzÄ™dkiewicz, Krzysztof
PB - Committee of Automatic Control and Robotics PAS
JF - Archives of Control Sciences
T1 - A non integer order, state space model for one dimensional heat transfer process
UR - http://www.czasopisma.pan.pl/dlibra/docmetadata?id=84429
DOI - 10.1515/acsc-2016-0015