In this paper, the suboptimal control problem is addressed for a class of discrete time-varying systems subjected to the stochastic communication protocol (SCP). The measurements provided by the sensors are transmitted through the communication channel and then fed into the controller. The SCP is utilized to select the sensor getting access to the communication media. In presence of the nonlinearities, the accurate value of the cost function cannot be obtained. As an alternative, a certain upper bound of the cost function is employed to quantify the control performance. The main purpose of the addressed problem is to develop the time-varying control parameters such that the derived upper bound of the cost function can be minimized over the finite-horizon [0, N]. The algorithm to compute the control parameters is provided in terms of a set of backward coupled Riccati-like recursions. In the end, a numerical example is provided to verify the validity of the proposed design method.