Since the works of Kalman (1963) and Tou (1964) it is known that annth-order sampled-data system needsncontrol signals to reach equilibrium if taken in an arbitrary initial state. These control signals may be applied either in open loop, through linear feedback channels when all the state variables are accessible or with a digital compensator if only the output is available. A computational procedure for solving this problem is described. This method uses the analogue simulation of the process in order to form a linear system which is then solved on a digital computer giving directly the open-loop control signals. Then, with the open-loop control signals one sees how the feedback coefficients or the digital compensator can be found in a very simple way in order to get dead-beet response. The method has the advantage of keeping all the tedious work (matrix integration and matrix multiplication) to a minimum by using the analogue computer, the digital computer only having to solve two linear systems. The method may be applied to scalar systems or to multi-input systems. The authors think that the design of dead-beat compensators is thus greatly simplified mid two examples are displayed with numerical results.