Abstract
Presenting an important potential in the representation of nonlinear systems, the multimodel approach remains an attractive axis for research. One of the important problems in the multimodel structure concerns the validity calculation which is a fundamental point especially when the process is corrupted with noise and/or its parameters are of high variations. A new approach based on the use of both two type of validity is proposed. A developed specification of the need of each one is explained by an optimization procedure. The conduct of this approach requires, first, the classification of the numerical data into a set of clusters. The frequency-sensitive competitive learning (FSCL) algorithm is used to select the number of models and the fuzzy k-means algorithm identify the operating clusters. From the satisfactory results in terms of precision and robustness obtained on theoretical examples, we are incited to confirm our contribution to real process reactor. The results obtained are compared to the classical approaches showing its ability to represent adequately the nonlinear process with a superior precision and accuracy and from this the classic strategy of multimodel representation is oriented towards a multifaceted approach.
Highlights
The multimodel approach has experienced a certain interest since the publication of the work of Johansen [1]
The idea of the multimodel approach is to apprehend the nonlinear behavior of a system by a set of local models characterizing the operation of the system in different areas of operation
The most interesting idea of the multimodel approach, which will be very useful, is its ability to approximate a nonlinear system by a weighting of local submodels via validity functions
Summary
The multimodel approach has experienced a certain interest since the publication of the work of Johansen [1]. The most interesting idea of the multimodel approach, which will be very useful, is its ability to approximate a nonlinear system by a weighting of local submodels via validity functions. These validity functions represent the action area of the submodel and its contribution to the global model. Numerous validities calculation technique is proposed in literature These techniques are classified according to the mode of creating the submodels but not in the structure repartition of different cluster forming the overall nonlinear system [5]. This new method is needed where are families of submodels with differing fidelity with respect to different quantities of interest
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