Fractional order model of a greenhouse

A fractional order model that describes thermal and moisture behaviors in the greenhouse was done. In modeling the greenhouse many authors use a simple model of soil that neglect the heat / mass coupling, furthermore they use the discretization techniques for solving the heat conduction equation leading to a very high order model, this causes problems when applying a control and requires a high time in the simulation. Several studies [3], [6] have proved that the fractional modeling offer better results and with less parameters when modeling the thermal system. The new contribution of this article is to put a greenhouse model of fractional order which takes account the heat / mass coupling in modeling the soil with the assumption that diffusion coefficients are constant. The verification of the new fractional model is done by a base of experimental data that presented in [2].