Modelling ill-defined systems requires powerful tools to attain a quan
titatively description of the studied systems. In this paper, a modell
ing concept is presented that tackles the problems inherent to process
es for which the necessary a priori knowledge for deductive analysis i
s lacking. The approach can be summarised as follows. By means of rela
tionship detectors, such as SAPS or fractional factorials, the existen
ce of a causal structure can be deduced qualitatively. In a next step
of the modelling task, the goal is to find the quantitative descriptio
n of this relationship. This step can be subdivided in two phases, i.e
. model structure characterisation and finally parameter estimation. I
n this paper new techniques are proposed (and validated on real-life e
xperimental results) to achieve the latter steps, In order to separate
the structure characterisation from the parameter estimation task, an
approach is taken in which parameter-invariant features are extracted
from the data. The properties of these features are chosen in such a
way that a classifier can select a specific model description. The dec
omposition in Zernike features and the recurrent neural network classi
fier, introduced by Sudharsanan, constitute the implementation of this
concept. To check the feasibility of this modelling approach, a biote
chnological application is chosen as a test case. Due to the changing
nature of the wastewater treatment process, reflected in a set of math
ematical descriptions applicable at different time instances, the afor
ementioned methodology will give the possibility to develop more effic
ient adaptive controllers.