This paper reviews methods used for measuring the vibration of dynamic objects, including a promising method for non-contact vibration diagnostics based on Doppler microwave sensors. The method involves actively irradiating an object with electromagnetic waves and applying a two-channel quadrature processing to the reflected signal received. The article also discusses modes of analysis of the subtle resulting signal using spectral or wavelet transformations depending on the nature of the active vibration. The advantages of this non-contact and remote vibration analysis method for studying complex dynamic objects are described. Finally, we evaluate the applicability of this method in machine learning and intelligent systems employed for the non-destructive continuous monitoring of the state of complex dynamic objects under vibration