The Formula Student competition for Driverless Vehicle (DV) class requires the students to develop a car that can autonomously make its way around a cone track in addition to several other static and dynamic tests. To ensure safety of such a vehicle without a driver, an Emergency Brake System (EBS) is required. The Emergency Brake System (EBS) shall ensure safe stoppage of the vehicle when any predefined failure modes get triggered. This thesis focuses on the design and development of the Emergency brake system (EBS) for the Formula Student car (SC19) which is predominantly developed as a car with driver. The primary braking of the Driverless vehicle (DV) will be performed by “Brake-by-wire” while the Emergency brake system (EBS) is designed exploiting the already existing hydraulic brakes (service brake) of the vehicle.