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Observer based nonlinear control design for glucose regulation in type 1 diabetic patients: An LMI approach

机译:基于观察者的非线性控制设计用于1型糖尿病患者的葡萄糖调节:LMI方法

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This paper deals with the design of observer-based nonlinear control of blood glucose concentration (BGC) of Type 1 diabetes mellitus (T1DM) patients in a Linear Matrix Inequality (LMI) framework. The controller design relies on the information of the states obtained from a nonlinear observer. The control law is derived using feedback linearisation and regional pole placement technique. Further, a numerical optimisation method is proposed for the computation of the controller gains by capturing the relationship between transformed domain and original domain dynamics by iteratively tuning the circular LMI region parameters ('q' and 'r') such that the locations of closed-loop poles of the original nonlinear system are attained. The proposed controller can deliver robust closed-loop response of BGC within a specified range of parametric uncertainty and meal disturbances owing to the appropriately tuned bound of LMI region parameters. The performance of the proposed controller is tested for 100 virtual T1DM patients in the presence of parametric uncertainty and uncertain meal disturbance. Both severe hypoglycemia (50 mg/dl) and post-prandial hyperglycemia are avoided by the proposed scheme for nominal and uncertain parameters. (C) 2018 Elsevier Ltd. All rights reserved.
机译:本文研究在线性矩阵不等式(LMI)框架下基于观察者的1型糖尿病(T1DM)患者血糖浓度(BGC)非线性控制的设计。控制器设计依赖于从非线性观测器获得的状态信息。控制律是使用反馈线性化和区域极点放置技术得出的。此外,提出了一种数值优化方法,用于计算控制器增益,方法是通过迭代调整圆形LMI区域参数(“ q”和“ r”)以捕获闭合域的位置,从而捕获变换域和原始域动态之间的关系。达到了原始非线性系统的环极点。由于对LMI区域参数的适当调整,建议的控制器可以在指定的参数不确定性和进餐干扰范围内提供BGC的鲁棒闭环响应。在存在参数不确定性和用餐不确定性的情况下,针对100名虚拟T1DM患者测试了所提出控制器的性能。针对名义参数和不确定参数的建议方案可以避免严重的低血糖(<50 mg / dl)和餐后高血糖。 (C)2018 Elsevier Ltd.保留所有权利。

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