The anti-windup controller synthesis problems are studied for a certain class of nonlinear systems subject to actuator saturation. Based on the linear-fractional representation(LFR) techniques, the original system is transformed into a linear system incorporating a sector-bounded nonlinearity and a saturation nonlinearity with an additional linear-fractional constraint. Based on a quadratic Lyapunov function and with a modified sector condition describing the saturation nonlinearity, LMI-based conditions for the synthesis of a nonlinear anti-windup controller are presented. A numerical example illustrates the effectiveness of the proposed approaches.