A switching control strategy for drug infusion in patients undergoing surgery is presented in this article. This strategy is based on a bank of stabilising controllers, aiming to improve the reference tracking performance of the patient response. Theoretical results which ensure overall stability and reference tracking under switching are obtained. These results are illustrated by simulations for the case of neuromuscular blockade control which show that, in this biomedical application, this switching controller yields better performance than a fixed one. The proposed control scheme also presents a good performance in clinical environment.