The automotive world has passed through a large number of evolutionary steps in history, the latter being the development and implementation of autonomous driving capabilities in passenger vehicles, with the objective of making travelling by car more efficient and secure for people. With this awareness, Formula Student, that is one of the most important university student competitions of engineering, introduced the Driverless category in 2017. The aim is to give the opportunity to autonomous driving to develop even faster inside universities, making future engineers able to confront this new technological challenge. This thesis work presents the design and real-time deployment of a Model Predictive Controller (MPC) for vehicle dynamics control in the Formula Student Driverless prototype of Politecnico di Torino.