Observer-based resilient finite-time control of blood gases model during extra-corporeal circulation

This study aims at designing an observer-based resilient controller to regulate the amount of oxygen and carbon dioxide in the blood of patients during the extra-corporeal blood circulation process. More precisely, in this study, a suitable observer-based resilient controller is constructed to regulate the levels of patient blood gases in a finite interval of time. The finite-time boundedness with the prescribed $$ performance index of the considered blood gases control system against modelling uncertainty and external disturbances is ensured by using Lyapunov stability analysis. Moreover, a set of sufficient conditions for obtaining the controller gain is developed in the form of linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed robust finite-time control scheme is verified through simulation results. The result reveals that the blood gases are maintained in their physiological ranges during a stable extra-corporeal circulation process via the proposed observer-based resilient controller.