A Memory–Efficient Noninteger–Order Discrete–Time State–Space Model of a Heat Transfer Process

Krzysztof Oprzędkiewicz, Wojciech Mitkowski
2018 International Journal of Applied Mathematics and Computer Science  
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
more » ... od 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.
doi:10.2478/amcs-2018-0050 fatcat:3xmn4fx4wze3zlhwo5qmwhwdn4