Linear Model Predictive Controller for Closed-Loop Control of Intravenous Anesthesia with Time Delay

8 Abstract—During intravenous anesthesia, anesthetic drugs must be administered at a suitable rate to prevent over dosing and under dosing in a patient. A developed PharmacokineticPharmacodynamic (PK/PD) model, which has been used to study the relationship between administered anesthetic dose and its effect on the patient in terms of hypnosis, is considered. In this paper, Linear Model Predictive Controller (LMPC) framework based on Active Set Method (ASM) with modified approach for closed loop control of intravenous anesthesia is presented for Single-Input (Propofol infusion rate) SingleOutput (Bispectral Index (BIS)) model of a patient. Effectiveness of the designed LMPC has been studied for BIS reference tracking as well as constraints, disturbances and noise handling in the measured variables. Performance of proposed approach is compared with conventional Proportional-Integral-Derivative (PID) controller, considering closed loop time delays. Simulation result shows that, proposed LMPC outperforms conventional PID controller.

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