This chapter addresses the problem of controlling the level of anesthesia through Propofol injection monitoring under a very large parametric discrepancy. More precisely, the control objective is to rationally deliver the Propofol so that the appropriate depth of anesthesia reaches its prescribed zone without undershoot and within a prescribed interval of time. It is the probabilistic certificationProbabilistic certification that plays the crucial role provided that an appropriately chosen parameterization of the control is adopted leading to acceptable guaranteed results in terms of the settling time and the probability of constraints violation. In this use-case, the control design methodologies in presence of uncertainties developed in Sect. 4.4 is used to design the control law together with some standard control-related ingredients such as the use of state estimator and integral action. On the top of all the above components, the randomized optimizationOptimization is used in order to deliver certified performances. The work in this use-case is an example of mixing traditional control design with the rather modern control objective which is probabilistically stated. It can be conjectured without risk that this kind of problem’s formulation and frameworks of solution will be increasingly used in the future.

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Feedback with Probabilistic Certification for Propofol Injection During Anesthesia

  • Mazen Alamir

摘要

This chapter addresses the problem of controlling the level of anesthesia through Propofol injection monitoring under a very large parametric discrepancy. More precisely, the control objective is to rationally deliver the Propofol so that the appropriate depth of anesthesia reaches its prescribed zone without undershoot and within a prescribed interval of time. It is the probabilistic certificationProbabilistic certification that plays the crucial role provided that an appropriately chosen parameterization of the control is adopted leading to acceptable guaranteed results in terms of the settling time and the probability of constraints violation. In this use-case, the control design methodologies in presence of uncertainties developed in Sect. 4.4 is used to design the control law together with some standard control-related ingredients such as the use of state estimator and integral action. On the top of all the above components, the randomized optimizationOptimization is used in order to deliver certified performances. The work in this use-case is an example of mixing traditional control design with the rather modern control objective which is probabilistically stated. It can be conjectured without risk that this kind of problem’s formulation and frameworks of solution will be increasingly used in the future.