## 1 Introduction  
The identification and classification of the technological process assume that sufficient information is available on its static and dynamic properties and there is information on the current state of the process during its control--the structure and principle of the control system corresponding to the quantity and quality of available data. Therefore, the identification of the process precedes the design of the control system. This procedure includes obtaining its static and much of its dynamic properties. If enough information is received by identifying the process and if it is sufficiently stable, it is possible to design a control system without the need for the continuous measurement of the state of the process. However, suppose the process is unstable or sensitive to external influences. In that case, it is necessary to continuously update information about the process's status and properties during control and make management decisions based on them. In industrial practice, a possible solution is cluster analysis, the result of which is the classification process or object. For example, [PERSON] et al. [1], and [PERSON] et al. [2] proposed a new approach for disintegrating rocks without high tool wear or failure rates. From a scientific point of view, rock separation by rotary drilling is a dynamic process with a strong stochastic component. In terms of the measurability of state quantities, it is also complicated because the essence of the rotary drilling process is the cutting and chipping of the material by the drilling tool. Such elementary mechanical processes are challenging to measure in operating conditions, and their mathematical modeling is more theoretical than practical. For these reasons, in industrial practice, drilling and embossing rigs are used, the operating mode of which is defined in advance by the stand manufacturer or is set by an expert based on the average geomechanical properties of the rock massif. Rotary rock drilling can be understood as a system whose inputs are the control variables, such as the revolutions of the drilling tool n (rps), the pressure force F (N), and the amount of borehole flushing water Q (m\({}^{3}\)). The outputs of the system are controlled variables, such as drilling speed v (mm/s\({}^{-1}\)), well length l (mm), and specific disintegration energy w (J.m\({}^{-3}\)). In addition, the drilling system can be affected by other state parameters, such as the properties of the drilling tool (e.g., the diameter of the drill bit or several channels) and the geomechanical properties (e.g., hardness, strength, abrasiveness, etc.) of the rock being disintegrated. The separation of rocks by cutting tools simulated by the finite element method was investigated in [3; 4]. In terms of the wear of the disintegrating tool, but also terms of drilling speed v, the theoretical research on the disintegration of rocks by rotary drilling and subsequent experiments on the drill stand showed that there is an optimal drilling mode in terms of specific energy consumption w (J.m\({}^{-3}\)) [5; 6; 7; 8]. [PERSON] et al. [9] and [PERSON] et al. [10] presented the results of processing the vibroacoustic signal from the process of uncoupling rocks. Time-frequency methods process the measured signal. These authors described the dynamic parameters of the drilling system. Moreover, these optimal mode criteria were met in at least one (i.e., optimal) working mode (i.e., the optimal speed or pressure force). Following the above, the system of optimal control of the rock disintegration process by rotary drilling must be based on sufficient and reliable information about the current state of the process or the geomechanical properties of the rock. These properties strongly determine the drilling process itself. Therefore, the question is which specific information characterizes the state of the disintegrating process and how it can be obtained. [PERSON] et al. [11] investigated the vibration of a drilling rig under combined deterministic and random excitation.