Fuzzy control has made possible the establishment of intelligent contr
ol. However, fuzzy logic controllers (FLCs) are used only in simply co
nfigurations and analytic knowledge about them is poor. In this paper,
a quantita tive study of fuzzy controllers is done for the most compl
ete case of a fuzzy-PID. Although the derivative action increases the
complexity, it makes it possible to complete a study of FLCs in a simi
lar way to the study of conventional controllers. The derivative term
can improve the stability and gives more flexibility. The analytic per
formance of a fuzzy-PID is summarized in terms of its three input vari
ables. These equations yield initial values for the PID-FLC scale fact
ors in terms of the classical PID parameters. The initial parameters h
ave been tested for several system (initial tuning); a finer adjustmen
t based in the influence of each gain has also been established (quali
tative tuning).