Cement rotary kiln model using fractional identification

This paper proposes the fractional order model of a cement rotatory kiln. The model consists of two parts: static and dynamic. The static part depends on the energy balance and the way how the heat is distributed around the whole process. The dynamic part is obtained through the fractional method of identification, and it shows how the process responds to changes in the input variables. The input of the dynamic model is the output of the static one. The model is validated using data from a real plant, two statistical methods: boxes and whiskers, and statistical metrics normalized by fuzzy functions.