This paper introduces a discrete time sliding mode by using a periodic intermittent control with multirate fast output feedback technique for the robust stabilization of discretized linear time invariant systems. In discrete time periodic intermittent control technique, the control input is applied to the system for the first few sampling time interval and then the control is not applied for next few sampling time interval, this control cycle is repeated. The proposed periodic intermittent control drives the system to discrete time sliding mode to achieve the robust stabilization of discretized linear time invariant system. The proposed theory is demonstrated by a simulation example on industrial plant emulator. © 2018 IEEE.