Robots have the potential to revolutionise society and the economy, working for us, beside us, and interacting with us. This EPSRC-sponsored programme will produce graduates with the technical skills and industry awareness to create an innovation pipeline from academic research to global markets. The robotics and autonomous systems area has been highlighted by the UK Government in 2013 as one of the eight Great Technologies that underpin the UK's Industrial Strategy for jobs and growth. Key application areas include manufacturing, assistive and medical robots, offshore energy, environmental monitoring, search and rescue, defence, and support for the ageing population. The University of Edinburgh and Heriot-Watt University are jointly offering this innovative four-year PhD training programme, which combines a strong general grounding in current theory, methods and applications with flexibility for individualised study and a specialised PhD project. Robotics and autonomous systems are increasingly studied beyond the range of classical engineering. Today robots represent one of the main areas of application of computer science and provide challenges for mathematics and natural science. It is impossible to imagine transportation, warehousing, safety systems, space and marine exploration, prosthetics, and many other areas of industry, technology and science without robots. Robots are used in theoretical biology and the neurosciences as a model of behaviour.