Based on the parameter-dependent Lyapunov function method with the LMI technique, this paper considers the preview tracking control problem of a class of discrete-time polytopic time-varying systems. Firstly, the error system method of the preview control theory is adopted and two auxiliary variables related to the system state and input are introduced. An augmented error system including previewed information is constructed, which transforms a tracking problem into a stabilization problem. Then, while considering the output feedback, a previewable reference signal is fully utilized through reformulation of the output equation for the derived augmented error system. The designed controller guarantees that the output can asymptotically track a given reference signal. Research shows that the static output preview controller parameter matrices can be achieved from the solution of LMIs problems. The numerical simulation example also illustrates the effectiveness of the desired preview controller.