A Multimodel Approach for Complex Systems Modeling based on Classification Algorithms

Elfelly, Nesrine; Dieulot, Jean-Yves; Benrejeb, Mohamed; Borne, Pierre

doi:10.15837/ijccc.2012.4.1364

Cited by 12 publications

(10 citation statements)

References 39 publications

(39 reference statements)

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“…From the results given by the FSCL algorithm, the multimodel is constructed based on 9 submodel extracted from each cluster with an order equal to two for each one. The proposed modeling approach presents the best result with NRMSE of 3.1774.10 −4 compared to the results given with a reinforced validity which presents NRMSE of 0.0382 [27]. In a comparative study the evolution of the novel approach is exposed in Figure 19 and the case where we used a reinforced validity is visualized in Figure 20.…”

Section: Biological Reactormentioning

confidence: 94%

“…Thus with only 9 linear models against 10 obtained by Elfelly [27] and against 196 models obtained by the modeling application is proposed in [24]. We have succeeded in designing a new multimodel structure for the system whose performance is better to those modeling proposed in [24,27].…”

Section: Biological Reactormentioning

confidence: 99%

“…In order to highlight the interest and contributions of the new modeling aspect and based on the same system that is the bioreactor, we compare our results with those given by [13,24]. Being a good academic example of nonlinear system, the biological reactor has been treated in some works for the purpose of illustration in different approaches of modeling and controlling nonlinear systems [25][26][27]. The process is therefore a bioreactor in which the microorganisms develop by consuming a substrate.…”

Section: Biological Reactormentioning

confidence: 99%

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Multimodel Representation of Complex Nonlinear Systems: A Multifaceted Approach for Real-Time Application

Hichem

M’Śahli

2018

Mathematical Problems in Engineering

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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.

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Section: Biological Reactormentioning

confidence: 94%

Section: Biological Reactormentioning

confidence: 99%

Section: Biological Reactormentioning

confidence: 99%

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Multimodel Representation of Complex Nonlinear Systems: A Multifaceted Approach for Real-Time Application

Hichem

M’Śahli

2018

Mathematical Problems in Engineering

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“…For the parametric identification, the generalized recursive least square is implemented. The obtained local models are combined through weighted functions that are calculated based on residue approach [5]- [8].…”

Section: Multi-model Modelingmentioning

confidence: 99%

Induction Motor Modeling Based on a Fuzzy Clustering Multi-Model—A Real-Time Validation

Abid¹,

Mouna²,

Sbita³

2015

IJMNTA

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This paper discusses a comparative study of two modeling methods based on multimodel approach. The first is based on C-means clustering algorithm and the second is based on K-means clustering algorithm. The two methods are experimentally applied to an induction motor. The multimodel modeling consists in representing the IM through a finite number of local models. This number of models has to be initially fixed, for which a subtractive clustering is necessary. Then both C-means and K-means clustering are exploited to determine the clusters. These clusters will be then exploited on the basis of structural and parametric identification to determine the local models that are combined, finally, to form the multimodel. The experimental study is based on MATLAB/SIMULINK environment and a DSpace scheme with DS1104 controller board. Experimental results approve that the multimodel based on K-means clustering algorithm is the most efficient.

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“…The multimodel approach (Adeniran and El Ferik, 2016;Boukhris et al, 1999;Leith and Leithead, 1999;Murray-Smith and Johansen, 1997) has been the subject of several research projects. Indeed, several applications have been considered in various fields such as chemistry, mechanics and biology (Böling et al, 2007;Elfelly et al, 2012;Ltaief et al, 2014;Pottmann et al, 1993;Talmoudi et al, 2008;Verdult et al, 2002) and engineering or industry (Dos Santos Martins et al, 2012). This approach has been proposed as an alternative to apprehend the complex and nonlinear behaviour of a system by a set of local models (linear or affine) characterizing the system operation in different operating zones.…”

Section: Introductionmentioning

confidence: 99%

Multimodel approach for modelling of nonlinear systems: validities’ optimal computation

Messaoud

Talmoudi

Ksouri-Lahmari

2018

COMPEL

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Purpose The purpose of this paper is to propose a new method for computing validities in the multimodel approach. Design/methodology/approach The multimodel approach offers an interesting alternative and a powerful tool to bypass the difficulties to model, control and diagnose a nonlinear and complex system. Its idea is defined as the apprehension of a nonlinear behaviour of a system by a set of local models characterizing the system operation in different operating zones. In spite of the success of its application in different fields, many problems related to the synthesis of multimodel approach remain open. These include, in particular, the method of obtaining the contribution degrees, also called validities, of the base-models for the deduction of the multimodel output. Findings The presented method may lead to superior results in comparison with the residue approach commonly used in the calculation of validities. Numerical simulation results and an experimental validation on a semi-batch reactor clearly illustrated the effectiveness of the proposed method and proved its impact on the improvement of the performances of the multimodel approach. Moreover, the multimodel approach using the new validities’ computation method can lead to perfect modelling of the process. Practical implications The proposed method discussed in the paper has the potential to make the multimodel approach more efficient in the modelling of complex real systems. Originality/value A significant contribution of the paper is the formulation of a new constrained optimization problem that can be solved by using a powerful mathematical tool such as the active set method, allowing to estimate the validity indexes in the multimodel approach. The obtained optimal solution can lead to perfect modelling of nonlinear and complex real systems.

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A Multimodel Approach for Complex Systems Modeling based on Classification Algorithms

Cited by 12 publications

References 39 publications

Multimodel Representation of Complex Nonlinear Systems: A Multifaceted Approach for Real-Time Application

Multimodel Representation of Complex Nonlinear Systems: A Multifaceted Approach for Real-Time Application

Induction Motor Modeling Based on a Fuzzy Clustering Multi-Model—A Real-Time Validation

Multimodel approach for modelling of nonlinear systems: validities’ optimal computation

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