Fractional-Order Models of the Temperature Dynamics in a Room with Radiant Heating Devices

Paweł Skruch* and Marek Długosz

In the paper, the dynamical behavior of the air temperature in a room equipped with radiant heating devices is investigated. The temperature dynamics is mathematically described by fractional-order differential equations. The identification procedure is proposed to identify the parameters of the model. The results of numerical simulation are compared with the results measured experimentally in the physical system.

Mathematics Subject Classification: 26A33 81T80

Keywords: modeling; building; temperature dynamics; fractional-order differential equation; identification

Minisymposion: Fractional Order Calculus: Applications in Modeling and Control