Procedure for monitoring measured variables (Mj) measured continuously on an process engineering system during the repeated execution of a predefined dynamic process with a group of measuring devices (MDj) used in the system, wherein said variables vary over time during the process, wherein: during the repeated execution of the dynamic process, measured data are continuously captured that comprise measured values (mj(ti)) of the measured variables (Mj) measured using the measuring devices (MDj) and the associated measuring times (ti) when the measured values (mj(ti)) were measured, wherein the measured data comprise training data measured during a training period and monitoring data measured after the training period, wherein, on the basis of the measured data, vectors are continuously measured whose vector components comprise, in each case, change speeds (vj(ti)) of the measured values (mj(ti)) of the individual measured variables (Mj) determined for a series of k consecutive times ([tr1,..., trk]) on the basis of the measured data, wherein the times ([tr1,..., trk]) of each series cover a time window of a predefined duration (ΔT) and the time windows of consecutive vectors are shifted in relation to one another by a predefined time difference, wherein the vectors determined using the training data are captured and saved in the form of a reference cluster, and a monitoring procedure is performed during which: the vectors determined using the monitoring data are compared, in each case, with the reference cluster, an anomaly is determined when at least one of the vectors determined using the monitoring data is outside the reference cluster, and information is provided about the anomaly that is determined. during the repeated execution of the dynamic process, measured data are continuously captured that comprise measured values (mj(ti)) of the measured variables (Mj) measured using the measuring devices (MDj) and the associated measuring times (ti) when the measured values (mj(ti)) were measured, wherein the measured data comprise training data measured during a training period and monitoring data measured after the training period, wherein, on the basis of the measured data, vectors are continuously measured whose vector components comprise, in each case, change speeds (vj(ti)) of the measured values (mj(ti)) of the individual measured variables (Mj) determined for a series of k consecutive times ([tr1,..., trk]) on the basis of the measured data, wherein the times ([tr1,..., trk]) of each series cover a time window of a predefined duration (ΔT) and the time windows of consecutive vectors are shifted in relation to one another by a predefined time difference, wherein the vectors determined using the training data are captured and saved in the form of a reference cluster, and a monitoring procedure is performed during which: the vectors determined using the monitoring data are compared, in each case, with the reference cluster, an anomaly is determined when at least one of the vectors determined using the monitoring data is outside the reference cluster, and information is provided about the anomaly that is determined. the vectors determined using the monitoring data are compared, in each case, with the reference cluster, an anomaly is determined when at least one of the vectors determined using the monitoring data is outside the reference cluster, and information is provided about the anomaly that is determined.