A control device, a machine (tool) having the control device, a method for providing a travel profile and a computer program for providing the travel profile, wherein a reference line is generated, e.g., from a CAD drawing, to provide a travel profile for a tool, where approximation curves are created from the reference line using wavelet base functions, transformation curves are formed from the approximation curves via difference generation, and these are each adapted to a desired accuracy of the processing mode via modification, where modification curves are created via the modification of the transformation curves, where the travel profile is the sum of the modification curves, and where drive elements of the machine tool are controlled based on the travel profile such that the travel profile can be optimized via the selection of wavelet base functions, based on a processing mode, e.g. rough milling, fine milling, laser cutting.

A control device, a machine (tool) having the control device, a method for providing a travel profile and a computer program for providing the travel profile, wherein a reference line is generated, e.g., from a CAD drawing, to provide a travel profile for a tool, where approximation curves are created from the reference line using wavelet base functions, transformation curves are formed from the approximation curves via difference generation, and these are each adapted to a desired accuracy of the processing mode via modification, where modification curves are created via the modification of the transformation curves, where the travel profile is the sum of the modification curves, and where drive elements of the machine tool are controlled based on the travel profile such that the travel profile can be optimized via the selection of wavelet base functions, based on a processing mode, e.g. rough milling, fine milling, laser cutting.

A positioning device and a programmable logic controller (PLC) system including the positioning device are provided. The positioning device includes a computing unit that analyzes a positioning start instruction that includes an operation pattern, a storage unit that stores therein an operation pattern and an analysis result obtained by the computing unit analyzing the operation pattern stored in the storage unit in association with each other, and an instruction generating unit including a processor that, when it is verified that the operation pattern stored in the storage unit corresponds to the operation pattern included in the positioning start instruction, reads the analysis result associated with the operation pattern stored in the storage unit and generates positioning instruction data for positioning a control target by using the read analysis result.

A tailstock control device includes a tailstock parameter setting unit that receives, in advance, setting of tailstock acceleration time ta, tailstock movement velocity V, drive torque measuring period t, and number n of drive torque measurements; a calculating unit that calculates acceleration zone distance La from the acceleration time ta and the movement velocity V; a calculating unit that calculates constant velocity zone distance Lb from the movement velocity V, the measuring period t, and the number n of measurements; a drive torque detecting unit that detects servo motor drive torque; and a control unit that sets La+Lb as drive torque measuring distance Lt and calculates servo motor drive torque limit value c from drive torque T detected by the drive torque detecting unit when the tailstock is moved over La+Lb and also from a servo motor torque command value a required for supporting a workpiece.