Design of Takagi-Sugeno fuzzy-region controller based on fuzzy-region concept, rule reduction and robust control technique

This paper attempts to use fuzzy-region concept and robust control techniques to design Takagi-Sugeno (T-S) fuzzy-region controller (FRC). To this end, the preliminary is to convert general fuzzy models into fuzzy-region ones. The stability conditions for closed-loop fuzzy-region systems are derived from a quadratic Lyapunov function, which are expressed in terms of linear matrix inequalities (LMIs). Therefore, LMl optimization can be employed in solving FRC. From the implementation point of view, FRC is embedded easily in microchip and is able to avoid time consuming in defuzzification. From the design point of view, FRC can greatly reduce the amount of LMIs, and remove the mutual influence of PDC concept. The feasibility and validity of this approach are demonstrated by a numerical example.