Diabetes mellitus type 1 occurs when β - cells in the pancreas are destroyed by the immune system. As a result, the pancreas cannot produce adequate insulin, and the glucose enters the cells to produce energy. To elevate the glycaemic concentration, sufficient amount of insulin should be taken orally or injected into the human body. Artificial pancreas is a device that automatically regulates the level of body insulin by injecting the requisite amount of insulin into the human body. A finite-time robust feedback controller based on the Extended Bergman Minimal Model is designed here. The controller is designed utilizing the backstepping approach and is robust against the unknown external disturbance and parametric uncertainties. The stability of the system is proved using the Lyapunov theorem. The controller is exponentially stable and hence provides the finite-time convergence of the blood glucose concentration to its desired magnitude. The effectiveness of the proposed control method is shown through simulation in MATLAB/Simulink environment via comparisons with previous studies.

中文翻译：

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用于 1 型糖尿病患者血糖调节的可变结构鲁棒控制器设计：一种反步法。

当胰腺中的 β 细胞被免疫系统破坏时，就会发生 1 型糖尿病。结果，胰腺不能产生足够的胰岛素，葡萄糖进入细胞产生能量。为提高血糖浓度，应口服或注射足量胰岛素。人工胰腺是一种通过向人体注射必要量的胰岛素来自动调节体内胰岛素水平的装置。本文设计了一种基于扩展伯格曼最小模型的有限时间鲁棒反馈控制器。该控制器采用反步法设计，对未知的外部干扰和参数不确定性具有鲁棒性。使用李雅普诺夫定理证明了系统的稳定性。控制器是指数稳定的，因此提供了血糖浓度的有限时间收敛到其所需的量级。通过与以往研究的比较，在 MATLAB/Simulink 环境中进行仿真，证明了所提出的控制方法的有效性。