There have been several recent studies concerning the stability of fuzzy control systems and
the synthesis of stabilizing fuzzy controllers. This paper reports on a related study of the
Takagi–Sugeno (TS) fuzzy systems, and it is shown that the controller synthesis problems for
the nonlinear systems described by the TS fuzzy model can be reduced to convex problems
involving linear matrix inequalities (LMIs). After classifying the TS fuzzy systems into three
families based on how diverse their input matrices are, a unique controller synthesis …