This study designs a robust closed-loop control algorithm for elevated blood glucose level stabilisation in type 1 diabetic patients. The control algorithm is based on a novel control action resulting from integrating algebraic meal disturbance estimator with back-stepping integral sliding mode control (BISMC) technique. The estimator shows finite time convergence leading to accurate and fast estimation of meal disturbance. Moreover, compensation of the estimated disturbance in controller provides significant reduction in chattering phenomenon, which is inherent drawback of sliding mode control (SMC). The controller is applied to one of the most reliable models of type 1 diabetic patients, named Bergman's minimal model. The effectiveness and superiority of the designed controller is shown by comparing it to classical SMC and super-twisting sliding mode control. The designed controller is subject to three different cases for detailed analysis of the controller's robustness against meal disturbance. The three cases considered are hyperglycaemia, hyperglycaemia combined with meal disturbance and three meal disturbance. The simulation results confirm superior performance of algebraic disturbance estimator based BISMC controller for all the cases mentioned above.

中文翻译：

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基于新型代数膳食干扰估计的自适应鲁棒控制设计，用于 1 型糖尿病患者的血糖调节。


本研究设计了一种稳健的闭环控制算法，用于稳定 1 型糖尿病患者升高的血糖水平。该控制算法基于一种新颖的控制行为，该控制行为是将代数膳食扰动估计器与后步积分滑模控制（BISMC）技术相结合而产生的。该估计器显示出有限时间收敛性，从而可以准确、快速地估计进餐干扰。此外，控制器中估计扰动的补偿可以显着减少颤振现象，这是滑模控制（SMC）的固有缺陷。该控制器应用于1型糖尿病患者最可靠的模型之一，名为伯格曼最小模型。通过与经典SMC和超扭转滑模控制的比较，证明了所设计控制器的有效性和优越性。所设计的控制器受到三种不同情况的影响，以详细分析控制器对膳食干扰的鲁棒性。考虑的三种情况是高血糖、高血糖合并进餐障碍和三餐障碍。仿真结果证实了基于代数扰动估计器的 BISMC 控制器对于上述所有情况都具有优越的性能。