Methods for optimal control of grinding processing accuracy on low rigidity shafts

This article addresses the application of modern methods and algorithms for the optimal control of technological processes and the efficient design of grinding process for low rigidity shafts. The investigation of the dynamic processing characteristics of the system identifies the influence of disturbing and regulatory influences on the amount of elastic deformation of the details in the transient and steady modes in order to minimize shape error of the shafts. The necessary conditions for optimal control of the technological systems under consideration are investigated using the Pontryagin maximum principle. The components of the cutting forces and the optimal values of the geometric, structural and functional parameters of the work-in-process parts are determined