A model of the generalized criterion for the maximum deviation of a signal (process) is proposed and investigated, which makes it possible to determine a constant time interval between adjacent samples from a signal (process). The criterion is based on the properties of convex power functions of the time modulus, depends on the order of the power function and the magnitude of the permissible error of the stepwise or linear approximation of the function from the samples. The criterion is intended for use in real‑time management systems, it allows to reasonably determine the time sampling interval. In the criterion, several maximum parameters of the signal are mathematically interrelated, which distinguishes it from known analogues. It is shown that for the calculation of the time interval of the signal, it is optimal to use more than three maximal values of its initial derivatives. The calculation technique is given and an example of practical application of the obtained results is given when constructing the data acquisition channel of the real‑time control system.