Method for compensating for positioning inaccuracies of a linear robot, and linear robot

A method for compensating for positioning inaccuracies of a linear robot, which includes a supporting and guiding structure having at least one support rail with at least one linear guide and a carriage which can be moved on this support rail by means of a motor, wherein the support rail is formed by an extruded profile with a plurality of chambers, wherein a control unit is provided, in which a mathematical model of the supporting and guiding structure is implemented, wherein the mathematical model calculates geometric changes to the supporting and guiding structure on the basis of one or more parameters, and wherein, on the basis of the mathematical model, information with regard to the change in the geometric position and orientation of a mounting interface to which an actuator can be attached, is determined on the basis of the change in one or more parameters, and wherein, on the basis of the information with regard to the change in the geometric position and orientation of the mounting interface, the control unit carries out a change to the travel path of the carriage or provides an actuator control interface with position change information for the actuator.