This paper presents an approach to the description of the cutting process through the use of numerical simulation results, their approximation with the neural network model, and the use of fuzzy models in the implementation of the machining control systems. Numerical simulation of the cutting process is used to obtain information about the thermal, power, and elastic-plastic characteristics of the process and allows creating a database of temperature and power parameters of the cutting process

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... pplied for training of the neural network. A neural network model approximates the numerical simulation data and describes the relationship of qualitative indicators of a workpiece with the parameters of the cutting process. A fuzzy control system for cutting mode has been proposed, which is a closed-loop control system with feedback, with a live circuit using the fuzzy controller as a regulator. Construction of the control device based on fuzzy logic allows taking into account the complex relationships of chip formation parameters and technological modes. The proposed approach allows you to control the cutting process, including adaptively, providing thereby the specified quality parameters of the product.