This paper investigates the depth of anaesthesia (DoA) control system using robust deadbeat technique. We propose to apply deadbeat control technique and develop a robust controller. The proposed robust control system with a deadbeat controller is evaluated in simulation. The performance is compared with that of a traditional control system with a PID controller and a control system with an internal model (IMC) controller. The results show that the proposed scheme has about 15% less overshoot, shorter settling time (about 1.5 minutes shorter) and more robust to disturbances caused by parameter changes. In addition, the proposed method is easy to design and impalement.