On Development of Fuzzy Controller: The Case of Gaussian and Triangular Membership Functions

264

in fact for most engineering applications are usually Gau-

ssian and sometimes cosine. In this paper, we presented

Fourier series representation for the systematic computa-

tion of membership functions for Gaussian and triangular

Fuzzy sets. We also presented the development of a

“Fuzzy Controller” to measure temperature and pressure

and produce output that can represent input to additional

sub-systems or systems. By way of comparative analysis,

it is shown that triangular approximation of Gaussian

membership function in Fuzzy control can lead to wrong

linguistic classification(s) which may have adverse ef-

fects on operational and control decisions. The develop-

ment of the Fuzzy controller device clearly demonstrates

that the proposed technique can indeed be incorporated

in engineering systems for the dynamic and systematic

computation of grade of membership in the overlap and

non-overlap regions of Fuzzy sets; and thus provides a

basis for the design of embedded Fuzzy Controller for

mission critical applications.

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