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During surgery, the anaesthetist carefully controls the delivery of anaesthesia given to the patient in an effort to attain and maintain a consistent and adequate level of anaesthetic depth. The aim of this work is to design an internal model control (IMC) for anaesthesia depth, and to test it by simulation with clinical data. This study uses an internal model control structure for the adjustment of Bispectral Index (BIS). Performance of the two controllers has been studied for a step change in BIS, measured disturbances in the measured variables. In this study the simulation shows that the internal model control performed better than the PID controller.