Type-2 Fuzzy Sets Study and Application
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Date
2020
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Université de M'sila
Abstract
The research presented in this doctoral thesis focuses on two areas: theoretical study on fuzzy sets type1 and type2, then their application for the control of a nonlinear dynamic system which is the manipulator robot PUMA560. For that, we implemented the both fuzzy controllers: type-1 and interval type-2 fuzzy controllers, in which a modification in Karnik-Mendel algorithm has been proposed. To calculate the output of interval type-2 fuzzy system there is a main step called type-reduced; this operation is based on Karnik-Mendel algorithm, which uses arithmetic mean to calculate the control output. In this work, we propose to change the arithmetic mean by harmonic one. The performances of modified interval type- 2 controller and type-1 fuzzy controller with and without noises are compared in terms of integral of squared error. The proposed modification in type reduction of Karnik-Mendel algorithm for interval type-2 fuzzy set shows best performance. Indeed, the amount of error in case of modified interval type-2 fuzzy controller is less two times than type-1 fuzzy controller.
Keywords: Type-2 fuzzy sets, Interval type-2 fuzzy sets, type-1 fuzzy controller, Interval type-2 fuzzy controller, puma 560 robot manipulator
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Keywords
Type-2 fuzzy sets, Interval type-2 fuzzy sets, type-1 fuzzy controller, Interval type-2 fuzzy controller, puma 560 robot manipulator