Robotics is the study of robots. A scientist involved in this field might be called a robotics scientist. (TNG: "Datalore") The subject of robotics was available for study by cadets at Starfleet Academy at least until the late 2360s.
B'Elanna Torres learned about robotics while attending the Academy. She would later find that these teachings paled in comparison to the experience she gained when repairing the systems of Automated Personnel Unit 3947 in 2372. (VOY: "Prototype")