Key result
A dead-zone observer-based control algorithm guaranteed global exponential stability of the closed-loop system and was evaluated on a single patient case.
Why the study?
Maintenance phase control of general anesthesia involves saturated input and noisy output, requiring control methods to maintain a given depth of hypnosis measured by the BIS.
A dead-zone observer-based control algorithm can theoretically maintain depth of hypnosis during anesthesia despite noisy BIS measurements.
Theoretical stability supports further observer-based anesthesia control development; leaves open prospective clinical validation before any practice consideration.
This paper deals with the maintenance phase control of general anesthesia during surgery, involving saturated input and noisy output. The objective is to maintain the patient to some given depth of hypnosis, measured by the BIS. The control law is an observer-based control, where a dead-zone observer is built in order to mitigate the presence of the output noise. The global exponential stability of the complete closed-loop system in the noise-free case is guaranteed thanks to a linear matrix inequality condition and an input-to-state property in presence of the noise is also proven. A three-steps optimization algorithm is proposed to determine the parameters of the control law and then evaluated on a patient case.
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Tarbouriech et al. (2020) studied General anesthesia during surgery (n=1). Dead-zone observer-based control law was evaluated on Maintenance of depth of hypnosis (measured by BIS) and global exponential stability. A dead-zone observer-based control algorithm guaranteed global exponential stability of the closed-loop system and was evaluated on a single patient case.
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