Computational complexity of general fuzzy logic control and its simplification for a loop controller

Abstract

This paper analyzes the number of operations and parameters of general fuzzy logic control algorithms. And limitations of loop controllers to implement the fuzzy logic control are investigated in terms of computation time and required memory. Using analysis of general fuzzy logic control algorithms, it is shown that general fuzzy logic control algorithms are not suitable for loop controllers. A simplified fuzzy logic control for loop controllers is presented using a fixed control table with mapping parameters. This simplified fuzzy logic control is shown to be suitable for a loop controller with regard to the computation time and the required memory. For easy programming of the simplified fuzzy logic control, a fuzzy logic control block is suggested as a specific block for general graphical block diagram editors. Experiments show that the simplified fuzzy logic control overcomes the limitations of loop controllers and provides good performance.