In a modern fire control system mounted on a ship or a mobile tank, precision and high performance tracking and pointing system is being required to support the "fire on the move" mission in order to increase overall system survivability and effectiveness. The mission requires the servo system to minimize the effects forced by vehicle or ship induced disturbances. In this case, the dynamic accuracy is difficult to achieve, primarily because of the disturbances. In this study, we investigate the solution of the problem in such a way that the disturbances are predicted in a deterministic sense where their structures are expressed in an analytic function and identified from the measurement of the resulting motion of the vehicle or ship, and their predicted values are used to control the pointing mechanism in a predictive control sense. Such an approach gives better accuracy to the pointing mechanism, which is proven by the simulation divided into two parts, one is the prediction of state via input estimation and the other is the predictive control. In addition, the control problem is extended to the case where actuator has saturation property.