In this paper there is described a new digital controller that is a generalization of the deadbeat controller. The new controller drives the output signal of the closed-loop system to a set value in a prescribed time. In designing the control algorithm, additional conditions in the form of performance indices can be satisfied. These performance indices can have very general forms and therefore it is possible to obtain various features of a closed-loop system. The application of this algorithm can lead to decreasing sensitivity of the closed-loop system to the process parameters as well as to avoiding of uncontrollable transient signals of control and system outputs for step inputs. The new algorithm provides very short settling time and a simple design procedure. The algorithm can be applied for any linear, dynamic plant and provides a stable control. The design possibilities of control algorithms and features of closed-loop system will be presented by examples of linear dynamic processes of the second and third order. The effects will be compared with those obtained by using deadbeat controller and digital PID-controller.