TIME-VARYING FUZZY SETS BASED ON A GAUSSIAN MEMBERSHIP FUNCTIONS FOR DEVELOPING FUZZY CONTROLLER

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ZIANI SALIM

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Journal: Iranian Journal of Fuzzy Systems Year:2017 | Volume:14 | Issue:3 Page(s): 15-39

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Information Journal Paper

Title

TIME-VARYING FUZZY SETS BASED ON A GAUSSIAN MEMBERSHIP FUNCTIONS FOR DEVELOPING FUZZY CONTROLLER

Author(s)

ZIANI SALIM | Issue Writer Certificate

Keywords

FUZZY SETSQ2

FUZZY SYSTEMQ2

GAUSSIAN MEMBERSHIP FUNCTIONQ2

PDC FUZZY CONTROLLERQ2

PSO METHODQ2

TS MODEL AND STABILITYQ2

LMIQ2

Abstract

The paper presents a novel type of FUZZY SETS, called time-Varying FUZZY SETS (VFS). These FUZZY SETS are based on the GAUSSIAN MEMBERSHIP FUNCTIONs, they are depended on the error and they are characterized by the displacement of the kernels to both right and left side of the universe of dis- course, the two extremes kernels of the universe are fixed for all time. In this work we focus only on the midpoint movement of the universe, all points of supports (kernels) are shifted by the same distance and in the same direction excepted the two extremes points of supports are always fixed for all computation time. To show the effectiveness of this approach we used these VFS to develop a PDC (Parallel Distributed Compensation) fuzzy controller for a nonlinear and certain system in continuous time described by the T-S fuzzy model, the parameters of the functions de ning the midpoint movements are optimized by a PSO (Particle Swarm Optimization) approach.

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APA: Copy

ZIANI, SALIM. (2017). TIME-VARYING FUZZY SETS BASED ON A GAUSSIAN MEMBERSHIP FUNCTIONS FOR DEVELOPING FUZZY CONTROLLER. IRANIAN JOURNAL OF FUZZY SYSTEMS, 14(3 ), 15-39. SID. https://sid.ir/paper/113352/en

Vancouver: Copy

ZIANI SALIM. TIME-VARYING FUZZY SETS BASED ON A GAUSSIAN MEMBERSHIP FUNCTIONS FOR DEVELOPING FUZZY CONTROLLER. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2017;14(3 ):15-39. Available from: https://sid.ir/paper/113352/en

IEEE: Copy

SALIM ZIANI, “TIME-VARYING FUZZY SETS BASED ON A GAUSSIAN MEMBERSHIP FUNCTIONS FOR DEVELOPING FUZZY CONTROLLER,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 14, no. 3 , pp. 15–39, 2017, [Online]. Available: https://sid.ir/paper/113352/en

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