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

n 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