A multimodel approach for a nonlinear system based on neural network validity

Abstract

PurposeThe purpose of this paper is to present a new concept based on a neural network validity approach in the area of multimodel for complex systems.Design/methodology/approachThe multimodel approach was recently developed in order to solve the modeling problems and the control of complex systems. The strategy of this approach coincides with the usual approach of the engineer which consists in subdividing a complex problem to a set of simple, manageable sub‐problems that can be solved separately. However, this approach still faces some problems in design, especially in determining models and in finding the appropriate method of calculating validities.FindingsA novel approach based on neural network validity shows very remarkable performances in multimodel for complex systems.Research limitations/implicationsThe validity of each model is based on the convergence of each neural network. For a fast convergence the proposed approach can be online to give a good performance in multimodel representation for system with rapid dynamics.Practical implicationsThe proposed concept discussed in the paper has the potential to be applied to complex systems.Originality/valueThe suggested approach is implemented and reviewed with a complex dynamic and fast process compared to the residue approach commonly used in the calculation of validities. The results prove to be satisfactory and show a good accuracy.

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

“…A new strategy based on a fuzzy supervisor method for the estimate validities 2 Mathematical Problems in Engineering is describe in [7]. A neural network is used to create the validity demonstrate a very significant results in the synthesis of the multimodel is explained in [8]. Other specific method are also represented in [9][10][11][12].…”

A New Strategy of Validities’ Computation for Multimodel Approach: Experimental Validation

“…If, on the contrary, this validity takes the value 1, the model represents perfectly the process at the considered instant. In the case where the relevance degree is between 0 and 1, the corresponding model i M represents partially the system behavior [13].…”

“…This approach is based on the calculation of the residues formulated by the distance between the real output and the sub-models' outputs. However, the performances of the multimodel approach, whose base-models' validities are calculated by the residues' approach, are considerably deteriorated in several cases of complex systems [13], [16], [17]. A new strategy, presented in this paper, allows to solve this problem and to improve the precision of the multimodel approach.…”

“…The residues' approach is the most commonly used [3], [4], [12], [13], [18]- [20]. This approach is based on the calculation of the residues formulated by the distance between the real output and the sub-models' outputs.…”

“…Several validities' calculation methods have been proposed in the literature [13]- [17]. The residues' approach is the most commonly used [3], [4], [12], [13], [18]- [20].…”