This paper addresses the problem of the locally stabilizing state-feedback control design for certain nonlinear quadratic systems subject to both actuator saturations and disturbance attenuations. The ideal control law consists of two parts: the main control part is designed to reduce the restricted L² gain which results from the mismatched disturbance in the controlled output, and the secondary control restrains the degradation of the disturbance attenuation performance which generates from the matched disturbance. Obviously, the proposed control law prevails over the conventional ones in dealing with the disturbance attenuation performance. Constructive conditions based on linear matrix inequalities are provided to ensure the local stability of the objective systems. Simulation examples are given to illustrate the effectiveness of the proposed methodology.