A fully programmable analog CMOS rational-powered membership function generator with the minimal control signal numbers

In this paper, an analog circuit with minimal control signals for implementing rational-powered membership functions is presented. The proposed circuit is optimized both in terms of continuity and the number of control signals, since we have control the circuit based on analog multpliers. Initially, by equipping our previous fuzzifier with independent control over the rising and falling edges of the membership functions, a novel fuzzifier circuit capable of controlling all parameters with the minimal control signals was proposed. Then, by replacing an analog multiplier instead of the programmable current mirrors, which required a large number of control bits and occupying area, a rational-powered generating module is designed. It should be noted that all required blocks for the fuzzifier and rational-powered generating module were designed in 0.18 μm technology and successfully simulated and presented. The proposed circuit has the capability of continuous control over all parameters with minimal control signals. Furthermore, it exhibits the lowest RMS error compared to previously reported works.