This paper presents a new periodic preview controller design method for a class of linear periodic discrete-time systems. Firstly, the difference between the system state and its steady-state value is substituted for the normal state difference, and the two-dimensional augmented error system of the original system is constructed successfully using a two-dimensional (2D)-based approach and the periodicity of system matrices. Then, for the augmented error system, based on the Lyapunov stability theory and the LMI method, sufficient conditions for the close-loop system to be stable and the design of a periodic controller with preview actions are proposed. Finally, numerical simulation example is given to illustrate the effectiveness of the proposed method.