Design of Very High-Speed Integer Fuzzy Controller Without Multiplications by Using VHDL

Abstract

This paper proposes an algorithm to map real values of the fuzzy membership functions in the consequent part onto an integer grid, as well as a method of eliminating the unnecessary operations of the leading and trailing zero items in the defuzzification stage. This allows a center of gravity method to be implemented with only integer additions and one integer division. The proposed system by using VHDL shows approximately an order of magnitude increase in speed as compared with conventional methods. This system can be applied to real-time high-speed intelligent systems such as robot arm control or fuzzy clustering for large data set.