Contents I. Introduction
Takagi and Sugeno (T-S) type fuzzy models [1] have been widely studied in recent decades and proved to be one of the most successful approaches to control design of complex nonlinear systems [2]–[8]. A T-S fuzzy model describes a nonlinear system by a set of fuzzy IF-THEN rules in the form of local linear or affine models which are smoothly connected by fuzzy membership functions. And this relatively simple and uniform structure demonstrates great advantages in stability analysis and controller design of fuzzy control systems in view of powerful conventional control theory. Due to the great efforts of researchers, a large volume of works on theoretical results of stability analysis and controller synthesis of T-S fuzzy systems have been reported in fuzzy control literature [1]–[8].
