An adaptive controller for propofol administration relying on a minimally parameterized SISO Wiener model for the depth of anesthesia is proposed. The exact linearization of this minimal Wiener structure using the continuous-time model parameters estimated online by an extended Kalman filter is a key point in the design. A linear quadratic Gaussian controller is developed for the exactly linearized system. The depth of anesthesia is considered to be measured by the bispectral index. Excellent results were obtained when the robustness of the proposed controller with respect to inter and intrapatient variability was assessed through simulations on a database of 500 patients. The closed-loop system showed good disturbance rejection properties when the synergistic effect of remifentanil in the depth of anesthesia was considered.
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