Self-propelled milling machine, as well as method for controlling a self-propelled milling machine

A self-propelled construction machine for milling a ground surface is provided with a machine frame, a working drum, and a transport conveyor with a discharge end from which worked-off milling material is dischargeable onto a point of impingement on a loading surface of a transport vehicle, wherein the transport conveyor is laterally slewable to a slewing angle about at least a first slewing axis. A controller is configured, during an initialization process, to specify a command variable within a coordinate system independent of a position and/or orientation of the machine, the coordinate system being stored during the initialization process with its origin at a starting point associated with the machine. The controller is further configured during a working process, wherein the coordinate system is stationary, to automatically control the slewing angle corresponding to detected changes in position and/or orientation of the machine and relative to the command variable.