Type-1 and Type-2 fuzzy Sets to Control a Nonlinear Dynamic System

被引：4

作者：

Saadaoui, Kheir ^{[1
]}

Bouderah, Brahim ^{[1
]}

Assas, Ouarda ^{[1
]}

Khodja, Mohammed Abdallah ^{[2
,3
]}

机构：

[1] Department of Mathematics, Laboratory of Pure and Applied Mathematics, Mohamed Boudiaf University of Msila, Msila,28000, Algeria

[2] Department of Electrical Engineering, Qassim University, P.O.B. 6677, Buraidah,51452, Saudi Arabia

[3] Department of Electrical Engineering, Mohamed Boudiaf University of Msila, Msila,28000, Algeria

来源：

Revue d'Intelligence Artificielle | 2019年 / 33卷 / 01期

关键词：

Manipulators - Robot applications - MATLAB - Nonlinear dynamical systems - Fuzzy sets;

D O I：

10.18280/ria.330101

中图分类号：

学科分类号：

摘要：

This paper is related to the simulation, in Matlab environment, of a robot manipulator controlled by both 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. © 2019 Lavoisier. All rights reserved.

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