Approximations of large rule fuzzy logic controller by simplest fuzzy controller

This paper deals with approximations of large rule fuzzy logic controller by simplest fuzzy controller (4 rules) via comparison of membership grade of outputs in the fuzzy sets of the two controllers. The inequalities between two controllers are compensated by proposed compensating factors. The proposed methodology enormously reduces the computational time. Various systems from available literature are utilized to demonstrate the proposed methodology. It has been found that the proposed approximations and conventional methods give approximately same results.