It is shown that in order to ensure accident-free operation of production facilities it is necessary to increase the degree of adequacy of the results of the analysis of technological parameters in control and diagnostic systems. However, in these systems, when changing the dynamics of technological parameters, the sampling interval of analyzed signals does not change despite the need for such a procedure. Because of this in practice there are cases when the adequacy of the results of solved problems is not ensured. In rail transport, control and diagnostic systems are used for rolling stock, that diagnose malfunctions in wheel-motor units, bearing defects, lack and insufficiency of lubrication, misalignments of bearing mounting, defects of fastening, imbalance of rotating parts, defects of gearbox. Also diagnosed are looseness of the feed and brake lines, malfunctions of the brake valve, malfunctions of the brake cylinders, malfunctions of the compressor. The inspection results are first of all displayed on the driver’s monitor. In these systems, due to the delay in the monitoring result, sometimes the appropriate measures are delayed. For example, due to the specifics of rail transport, when analyzing the vibration signals received from the same sensors, the control results change when the train speed changes. This causes additional error, which can often lead to the violation of the adequacy of the control results. To eliminate this shortcoming, first of all, it is necessary to proportionally change the sampling interval of the analyzed signals when changing the speed of the rolling stock. In vibration diagnostics, the adequacy of the obtained results depends to a great extent on the accurate determination of the sampling interval. It is shown that the technology and principle of construction of analog-to-digital converters with adaptive determination of the sampling interval by taking into account the dynamics of the operation of controlled objects allows to avoid the control error caused by the error of sampling interval selection.