LMI-based design of stabilizing fuzzy controllers for nonlinear systems described by Takagi-Sugeno fuzzy model

There have been several recent studies concerning the stability of fuzzy co ntrol systems and the synthesis of stabilizing fuzzy controllers. This pape r reports on a related study of the Takagi-Sugeno (TS) fuzzy systems, and i t is shown that the controller synthesis problems for the nonlinear systems described by the TS fuzzy model can be reduced to convex problems involvin g linear matrix inequalities (LMIs). After classifying the TS fuzzy systems into three families based on how diverse their input matrices are, a uniqu e controller synthesis procedure is given for each of the families. A numer ical example is presented to illustrate the synthesis procedures developed in this paper. (C) 2001 Elsevier Science B.V. All rights reserved.