Dealing with the interpatient and the intrapatient variability in type 1 diabetes mellitus (T1DM) patient are the prominent control challenges in the development of the artificial pancreas system (APS). An APS consider a nonlinear patient model that has many state variables, but the reality is that out of the many states only glucose concentration is measurable till date without any complication and undue high cost. In the present work, the philosophy is to evolve a control technique that can address the above‐cited challenges or issues. In the sequel, a robust observer is first designed based on the attractive ellipsoid method (AEM) for norm‐bounded uncertainty structure. The information of the estimated states is then used to design a guaranteed‐cost robust output feedback control. The design methodology approximates the nonlinearity present in the model as quasi‐one‐sided Lipschitz thus including more information of nonlinearity in the design as well as the control problem is recast into a linear matrix inequality (LMI) framework. Numerical simulations of 200 virtual T1DM patients are carried out which reveal that there are no cases of hypoglycemia and postprandial hyperglycemia in the presence of bounded parametric variability and high uncertainty in exogenous meal disturbance. The proposed method is simple, efficient and optimal closed‐loop solution for blood glucose regulation in T1DM patients in a robust nonlinear framework.

中文翻译：

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具有门诊变异性的1型糖尿病患者的可靠的成本保证输出反馈控制血糖

在1型糖尿病（T1DM）患者中应对患者间和患者内的变异性是人工胰腺系统（APS）发展中的主要控制挑战。APS考虑了具有许多状态变量的非线性患者模型，但是现实情况是，在许多状态中，直到现在为止都可以测量葡萄糖浓度，而没有任何复杂性和过高的成本。在当前的工作中，哲学是发展一种控制技术，以解决上述挑战或问题。在续集中，首先基于有吸引力的椭球方法（AEM）设计了一个鲁棒的观测器，用于范数有界的不确定性结构。然后，将估计状态的信息用于设计保证成本的鲁棒输出反馈控制。设计方法将模型中存在的非线性近似为准单侧Lipschitz，从而在设计中包括更多非线性信息，并将控制问题重铸为线性矩阵不等式（LMI）框架。进行了200位虚拟T1DM患者的数值模拟，结果表明，在有限的参数可变性和外源性膳食干扰的高度不确定性的情况下，没有低血糖和餐后高血糖的情况。在健壮的非线性框架中，该方法简单，有效，最优，可用于T1DM患者的血糖调节。进行了200位虚拟T1DM患者的数值模拟，结果表明，在有限的参数可变性和外源性膳食干扰的高度不确定性的情况下，没有低血糖和餐后高血糖的情况。所提出的方法是在健壮的非线性框架内对T1DM患者进行血糖调节的简单，有效和最佳的闭环解决方案。进行了200位虚拟T1DM患者的数值模拟，结果表明，在有限的参数可变性和外源性膳食干扰的高度不确定性的情况下，没有低血糖和餐后高血糖的情况。在健壮的非线性框架中，该方法简单，有效，最优，可用于T1DM患者的血糖调节。