Abstract: The robust delay-dependent stabilization problem for uncertain singular systems is considered.Delay-dependent stability and stabilization criterions are formulated in terms of Linear Matrix Inequalities（LMIs） by Lyapunov method.A new method that introduces the new free-weighting matrices is proposed to estimate the upper bound of the derivative of the Lyapunov function by considering the additional useful terms which are ignored in previous methods.An algorithm involving convex optimization is proposed to design a fuzzy controller guaranteeing a suboptimal maximal delay such that the system can be stabilized.Two numerical examples are given to demonstrate the effectiveness of the proposed method.