In this paper, we proposes a discrete-time intermittent control to obtain a periodically monotonic tracking response using output feedback for a discretized linear time invariant system. In periodic intermittent control, the control is applied for some time interval and then we are not able to apply the control for the next few time interval. This cycle is repeated periodically. The periodically monotonic tracking is achieved by the periodically intermittent control by exploiting the Moore's algorithm for the eigen-structure assignment. Then a multirate output feedback technique is proposed for the designed control such that we are able to compute the control only using the output information. The simulation results are given to verify the theoretical analysis. © 2018 IEEE.