Mathematical Modeling and Control of Non-Rigid Axisymmetric Parts Processing

This article investigates the control of technological system parameters in the processing of elastically deformed non-rigid axisymmetric parts. The developed mathematical models describe the relationships between machining accuracy and key technological factors. Methods for improving accuracy by introducing positive feedback on cutting force, which eliminates static errors, as well as approaches to minimizing the system's sensitivity to changes in technological environment parameters, are presented. An analysis of the dynamic characteristics and stability of control systems using sensitivity theory was conducted. Methods for optimizing control structures to improve their speed and processing quality, including the application of integral quadratic criteria, are considered. The research results confirm the possibility of adapting the proposed approaches for various metalworking operations, ensuring a significant improvement in the accuracy and quality of parts processing