Linear simultaneous control of nonlinear systems by state feedback based on TS fuzzy model

In this paper, the problem of simultaneous stabilization of nonlinear systems is proposed by using the Takagi-Sugeno (TS) fuzzy modeling and synthesis approach. The key idea of TS fuzzy models is to utilize a group of fuzzy rules combined with a family of local linear models to describe a complex nonlinear system, which are smoothly blended through fuzzy membership functions. Using this feature, analysis and synthesis of such systems based on Lyapunov stability method