Abstract: The nonlinear systems is construced by a class of T-S fuzzy systems with state uncertainty and time-delay uncertainty. Firstly，the fuzzy state feedback controller is designed，the control gain matrix of the controller is gived with the linear matrix inequality（LMI）technique；Next ，quadratic stability is found by the Lyapunov stability theory；Finally，the numerical example shows that the method is effective.

Key words: T-S model, quadratic stability, linear matrix inequality（LMI）, time-delay system