A laser cutting system for cutting a workpiece with a laser beam along a cutting line at a variable cutting speed, comprising:
- a movable machining head configured to place the laser beam on the respective workpiece,
- a user interface for specifying the respective cutting line and for specifying a minimum path accuracy of the laser beam,
- a control device configured to control a movement of the machining head along the cutting line relative to the respective workpiece and for controlling a plurality of process variables of a cutting process,
- wherein said movement during the cutting process can create a cutting path of the laser beam along the cutting line,
- wherein the control device
- is configured such that the movement of the machining head can be controlled by the control device during the cutting process such that the cutting path of the laser beam follows the cutting line within the minimum path accuracy (ΔB), wherein a kinematic state of the machining head can be changed by the control device by increasing or reducing the speed of the machining head relative to the workpiece, and wherein the control device including a register configured to dynamically receive and register at least one of a change of the kinematic state of the machining head and/or at least of a value of the current speed of the machining head and/or of a value for a change of the current speed of the machining head,
- a first subset and a second subset is formed from the plurality of process variables, wherein the first subset comprises exclusively one or a plurality of process variables, which influence the power of the laser beam available for cutting, and wherein the second subset comprises exclusively one or a plurality of process variables, which have no influence on the power of the laser beam available for cutting,
- at least one process variable of the first subset is changed via the control device based on a change of the kinematic state of the machining head depending on at least one of the respectively registered values for the current speed of the machining head and/or at least one of the respectively registered values for change of the current speed of the machining head,
- at least one process variable of the second subset is changed via the control device based on a change of the kinematic state of the machining head depending on the current speed of the machining head, wherein the change of the respective process variable can be controlled depending on at least one variable control parameter, the respective value of which can be determined by the control device based on rules implemented in the control device depending on at least one of the respectively registered values of the current speed of the machining head and/or of at least one of the respectively registered values for a change of the current speed of the machining head.