System's stability is the most important requirement in control system
designs. Fuzzy control system (FCS) should satisfy this requirement a
lso. This paper shows that a linear plant with the formulated Fuzzy Lo
gic Controller (FLC) is a nonlinear system and its stability can be an
alyzed by applying the Small Gain Theorem or the Circle Criterion. By
these two criteria, three FLC design procedures are introduced to guar
antee the stabilization of the FCS. Finally, two examples are given to
confirm the availability of the proposed design approaches. (C) 1998
Elsevier Science B.V. All rights reserved.