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Inversion of fuzzy models-practical issues

This paper deals with some practical issues of the inversion of nonlinear static systems described by fuzzy models. We derive an analytical expression of the derivatives of a fuzzy mapping and we use it in an optimization based inversion algorithm. We discuss some practical aspects of this algorithm, including the inversion of multiple-input, multiple-output (MIMO) fuzzy systems. We also demonstrate how this approach can be used for calculation of the simultaneous solution that follows from two alternative fuzzy models.