Robust control for propofol induced anesthesia based on Second-Order Sliding-Mode Control

The effect of anesthesia can be different in every patient. It is often the case that anesthesia has to be induced in emergency situations, where identification of the patient´s parameters cannot be done. It is preferable to have a controller insensitive to parameter variations, such as Second-Order Sliding-ModeControl (SOSMC). This kind of controller is also robust with respect to singular perturbations that may occur during surgery; therefore SOSMC is well suited to perform a closed loop propofol dosage. This in silico study tests the performance of an SOSMC for 4 different patients, to evaluate its insensibility to parameter variation (interpatient variability). SOSMC robustness with respect to perturbations is evaluated by a bleeding simulation, that changes the parameters of the pharmacokinetic model (intrapatient variability), and also by inducing a surgical stimuli.