A Novel Hybrid Structure and Criteria in Modeling and Identification

In this paper, a hybrid structure based on combination of linear and fuzzy models is proposed. The proposed structure is a trade-off between goodness of fit and modeling simplicity. For evaluation of the hybrid model two criteria are also suggested which are compatible with both Akaike Information Criterion (AIC) and Schwarz-Rissanen Information Criterion (SRIC), respectively. The proposed criteria can also be used for evaluation of both linear and fuzzy models. The proposed hybrid structure is used to model a transformer’s current time series and results are compared with linear and fuzzy models by using suggested criteria. Comparison results indicate the effectiveness of the proposed hybrid structure.