Аннотация:The article substantiates the possibility of automated solving problems of detecting anomalies in the operation of onboard subsystems of a spacecraft (SC), identifying and predicting deviations in the process of spacecraft operation based on changes in the values of telemetric parameters (TMP). The content and structure of the tasks of diagnosing anomalies in the work of onboard subsystems (OBS) of the spacecraft are disclosed. Analyzed the current state of the process control in flight control of the spacecraft. The shortcomings of the existing methods for monitoring telemetric information(TMI) on the state of the spacecraft and possible solutions are indicated. The principle of solving the above problems of analyzing TMI using the wavelet transform method is described. A method for automating the analysis process based on the developed special mathematical apparatus is proposed. The article contains a brief description of the mathematical transformations on which the proposed method for diagnosing anomalies in the OBS operation is based.