In present work, we investigated preview saturated control (PSC) regarding constrained discrete-time delayed systems (CD-TDS). First, using an input-output approach, discrete time-varying delay system was eliminated formally. Discrete-time system with constant time delay was gained. Then, an augmented error system (AES) was constructed through an auxiliary signal related to state variables, which changed the problem of PSC transform into a problem of robust stability for the interconnected subsystem. Afterwards, using linear matrix inequality (LMI) as well as Lyapunov function, sufficient robust stability conditions regarding closed-loop system and design of PSC laws were given. Finally, numerical simulations were performed, and they demonstrated our result validity that presented.