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This paper describes the conditions and steps to design non-linear equidistant membership functions in order to achieve the generalization, smoothing, and usage of fuzzy logic in modeling, simulating and controlling both linear and nonlinear systems. Matlab program was used to validate the work in a graphical form. The advantages of using the nonlinear membership function are mentioned. The paper also illustrates a new fuzzy modeling algorithm to achieve real-time implementation of fuzzy system based on nonlinear membership functions. Protus simulator is used for the implementation of FLC using the new fuzzy modeling algorithm.
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