This report presents the modeling results for three systems, two numerical examples and one experimental . In the numerical examples, we use mathematical modelspreviously obtained in the literature as the systems to be identified . For each example, a NonlinearAutoRegressive model with eXogenous inputs (NARX) is identified using twowell-established techniques together, the Error Reduction Ratio (ERR) method tohierarchically select the regressors and the Akaike’s Information Criterion (AIC) to truncate the number of terms . The results show that it is possible to identify the referredsystems with no more than five terms . These identified models will be used for nonlinearity compensation in future works. The results are presented at the end of the report . The report also includes a pneumatic valve that presents a variety of nonlinearities, including hysteresis . The study concludes that the results are based on

Author(s) : Lucas A. Tavares, Petrus E. O. G. B. Abreu, Luis A. Aguirre

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Keywords : results - report - identified - examples - models -

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