The proposed LMI-based state feedback controller ensures perfect tracking of a constant BIS reference during anesthesia, accounting for control input saturation and inter-patient variability.
This paper addresses the problem of tracking a constant BIS reference during anesthesia taking into account control input saturation, multiple time scale dynamics and inter-patient variability. LMIs conditions are proposed to compute a state feedback involving an integral action to ensure a perfect output tracking. These conditions guarantee that the trajectories of the closed-loop system remain in an invariant ellipsoidal set. The theoretical conditions are numerically illustrated on a set of adult patients as a proof of principle.
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Queinnec et al. (2018) studied this question.
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