New definition of membership function and its hardware implementation with a new strategy

Authors:
A. Ebrahimi;S. Aminifar;M. Daneshwar;Gh. Yosefi
Affiliations:
Department of Mathematics, Islamic Azad University, Mahabad, Iran;Department of Electrical Engineering, Islamic Azad University, Mahabad, Iran;Department of Electrical Engineering, Islamic Azad University, Mahabad, Iran;Department of Electrical Engineering, Islamic Azad University, Mahabad, Iran
Venue:
MINO'10 Proceedings of the 9th WSEAS international conference on Microelectronics, nanoelectronics, optoelectronics
Year:
2010

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Abstract

This paper introduces a new mathematical method for introducing Membership function in fuzzy systems. This new mathematical definition relies on concept of continuous-valued logic (CVL) which can be applied to control the pulse width of generated Pulse Width Modulation. The introduced Membership function is in the form of triangle with curved brim in order of two. For the first time, degree of membership becomes correspondent to the frequency of a signal. MATLAB simulations show more soft and reliable controlling. Using this membership function provides more simplicity in fuzzy logic circuitry. New circuits have designed for implementing this Idea and these circuits have used for implementing a two-input one-output fuzzy logic controller. The circuit simulation has done with HSPICE. Implemented controller has used practically for controlling the temperature of a room.