Analyzing the effects of the Footprint of Uncertainty in Type-2 Fuzzy Logic Controllers

Roberto Sepúlveda, Patricia Melín, Antonio Rodríguez-Díaz, Alejandra Mancilla, Oscar Montiel · 2006

Abstract — Uncertainty is an inherent part in controllers used for real-world applications. The use of new methods for handling incomplete information is of fundamental importance in engineering applications. We simulated the effects of uncertainty produced by the instrumentation elements in type-1 and type-2 fuzzy logic controllers to perform a comparative analysis of the systems ’ response, in the presence of uncertainty. We are presenting a proposal to optimize interval type-2 membership functions using an average of two type-1 systems we did some experiments where we optimized the MFs under different ranges values for the Footprint Of Uncertainty (FOU) and different noise values. Index Terms—Type-2 Fuzzy Logic, Intelligent Control. I.

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