The invention relates to a robotic system for moving a shapeable instrument like a shapeable catheter within an object like a person. The system (1) comprises a robotic device (2, 3) for modifying the shape of the instrument (2) and moving the instrument within the object (7) and a control unit (4) for controlling the robotic device based on structure information like a roadmap, a target position and shape and an actual position and shape such that the instrument is moved and the shape of the instrument is modified from the actual position and shape to the target position and shape. Since the control unit considers structure information while controlling the robotic device, the navigation of the instrument can be automatically performed under consideration of knowledge about regions within the object, through which the instrument is navigatable. The navigation may therefore be performed without or with few user interactions only.