A New Approach to Nonlinear Modeling Based on Significant Operating Points Detection

The paper presents a new approach to nonlinear modeling based on significant operating points detection from non-invasive identification of nonlinear dynamic system. The swarm intelligence supported by the genetic algorithm is used in the proposed approach to identify the unknown parameters of the nonlinear dynamic system in different significant operating points. The parameters of the membership functions of the fuzzy rules and the parameters of the linear models are simultaneously identified. The new approach was tested on the nonlinear electrical circuit, which was replaced by the approximate linear model. The obtained results prove efficiency of the new approach based on the significant operating points detection.

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