An analytical approach to the derivation of fuzzy PI scaling factors

Fuzzy logic control has been studied extensively and has been applied in various applications. The most popular control strategy takes the fuzzy proportional-integral (FPI) form. While systematic methods have been developed to derive the fuzzy rules and membership functions, the choice of the scaling factors remain an open problem. In this paper, an analytical FPI scaling factor determining method is derived, based on the functional equivalence of the PI and FPI controllers. Simulations and experiments have been carried out with a permanent magnet synchronous motor (PMSM) drive system as test-bed, the obtained results have verified that the derived method is applicable to both the initial choice and further tuning of the FPI scaling factors