Navid Behmanesh Fard - Department of Electrical Engineering, Technical and Vocational University, Fars, Iran
Peyman Kohan-Sedgh - School of Electrical & Computer Engineering of Shiraz University, Shiraz, Iran

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. Both state and output feedback controllers are designed based on the PDC concept and by solving some linear matrix inequalities (LMIs). Furthermore, to inherent sufficiency of TS fuzzy model with quadratic Lyapunov function, some conservatism sources including using common Lyapunov function and restrictive equality conditions are considered.

Lyapunov function, fuzzy system, Simultaneous stabilization, Nonlinear control