In this study, we propose a path-following control method based on the state feedback law. In recent years, automated driving which attracts attention requires various element technologies, and among them, path following control to follow the target path is one of the most important elemental technologies. In previous study, a method was proposed that gave a constraint that makes the following error asymptotically zero. However, if the target path has a road width, the tracking error does not have to be zero. In this paper, a reference value for the tracking error is designed as a function of the vehicle state and other factors. The effectiveness of the proposed method was validated by numerical simulations and showed better performance than previous studies.