Sakthivel Rathinasamy, Joby Maya, Kwon Ohmin
Department of Mathematics, Bharathiar University, Coimbatore, 641 046, India.
Department of Mathematics, Sungkyunkwan University, Suwon, 440-746, South Korea.
IET Syst Biol. 2018 Aug;12(4):131-137. doi: 10.1049/iet-syb.2017.0083.
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.
本研究旨在设计一种基于观测器的弹性控制器，以在体外血液循环过程中调节患者血液中的氧气和二氧化碳含量。更确切地说，在本研究中，构建了一种合适的基于观测器的弹性控制器，以在有限时间间隔内调节患者血液气体水平。通过使用李雅普诺夫稳定性分析，确保了所考虑的血液气体控制系统在存在建模不确定性和外部干扰的情况下，具有规定性能指标的有限时间有界性。此外，以线性矩阵不等式（LMI）的形式给出了一组获得控制器增益的充分条件。最后，通过仿真结果验证了所提出的鲁棒有限时间控制方案的有效性。结果表明，通过所提出的基于观测器的弹性控制器，在稳定的体外循环过程中，血液气体保持在其生理范围内。
