Control system for a remote-controlled working machine (10) provided with caterpillar tracks (6) or the like for the travel thereof, e.g. a demolition robot intended for demolition work, etc., the said control system including a remote control (11) intended to be carried by an operator situated beside the machine (10), the said remote control (11) being connected wirelessly, e.g. via Bluetooth, or by means of a cable to at least one electronic unit in the machine, and having at least one control stick or joystick (12, 13) and a number of buttons, levers and / or knobs for operating the different travel and working functions of the machine. The machine furthermore has one or more different setting modes or positions, wherein its control sticks and / or certain buttons have different functions in different modes. In a travel mode, also referred to as a transport position, travel of the machine is handled entirely by one control stick (12, 13), advantageously the left control stick (12), such that the caterpillar tracks (6) of the machine are operated as follows: - if the control stick is moved forwards or backwards, both caterpillar tracks (6) are driven forwards or backwards so that the machine moves forwards or backwards; - if the control stick is moved straight to the left, the right caterpillar track is driven forwards and the left caterpillar track is driven backwards so that the machine turns to the left; - if the control stick is moved straight to the right, the left caterpillar track (6) is driven forwards and the right caterpillar track is driven backwards so that the machine turns to the right. The operator's other hand is thus free for other tasks during travel of the machine.