Nonlinear State Feedback Simultaneous Control 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. This problem refers to stabilization of some nonlinear plants by utilizing a single nonlinear controller. a state feedback controller is designed based on the PDC concept and by solving some linear matrix inequalities (LMIs). two numerical examples are presented to show that the proposed controller successively stabilize the considered nonlinear plants.