基于糖尿病患者内分泌系统全局模型的自适应预测控制设计与测试

Lucas O. Griva, M. Basualdo
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摘要

这项工作提出了一种新的方法来设计预测功能控制(PFC)算法,该算法将在1型糖尿病(T1DM)患者的人工胰腺(AP)中实现。本文的建议是,通过在线识别技术,连续调整PFC内部模型的参数,以跟随患者的真实进化。我们将这种新的PFC称为“自适应PFC”,其中内部模型参数是通过基于UD分解的递归估计来估计的。此外,为了测试自适应PFC,我们使用先前开发的全局数据驱动模型来执行最终调优(调试),以便实际准备在AP实现中使用。当给糖尿病技术中心(UVa/USA)的Nº5041患者不同的膳食摄入量和胰岛素剂量时,通过对全局模型(GM)的动态模拟获得的计算机患者进行闭环响应测试。GM是长期和短期模型的结合,并使用一种基于卡尔曼滤波的特殊方法来改进短期预测。它有助于每五分钟跟踪血糖,以模仿现实的计算机病人。比较将在正常的PFC和没有控制的患者之间进行。常规PFC具有从ARX模型获得的恒定参数的内部模型,将胰岛素影响与碳水化合物对血糖变化的影响分离开来。最后,考虑到与胰岛素泵相关的约束条件,进行了全闭环模拟。通过控制变异性网格分析(CVGA)对控制器的性能和患者的自由风格进行了评估。在工作结束时,我们根据比较结果提出了最后的结论,并对未来的工作进行了讨论。
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Design and testing adaptive predictive control based on global models of endocrine system for diabetic patients
This work presents a new methodology to design the Predictive Functional Control (PFC) algorithm to be implemented in the context of the Artificial Pancreas (AP) for patients with Type 1 Diabetes Mellitus (T1DM). The proposal here is that the parameters of the internal model of PFC be continuously adapted to follow the real patient evolution through an on line identification technique. We call the new PFC as "adaptive PFC" where the internal model parameters are estimated by the recursive estimation based on UD factorization. Additionally, to test the adaptive PFC we use a global data driven model, previously developed, to perform the final tuning (commissioning) to be practically ready to be used in AP implementations. The closed loop responses are tested with the in silico patient obtained through dynamic simulations of the global model (GM) when different meals intake and insulin dosages are given to the patient Nº 5041 from the Center of Diabetes Technology (UVa/USA). The GM is a combination between long and short term models and uses a particular approach based on Kalman Filter to improve the short term predictions. It helps to tracking glycaemia every five minutes to mimic a realistic in silico patient. The comparisons will be done with the regular PFC and the patient without control. The regular PFC has the internal model with constant parameters obtained from the ARX model to isolate the insulin impact from the carbohydrates effects on the blood glucose variations. Finally, the full closed loop simulations, taking into account the constraints related to the insulin pump, are included. The performance of the controllers and the free style of the patient are evaluated by means of the Control Variability Grid Analysis (CVGA). Closing the work, we present the final conclusions based on the comparison results and discuss some future works.
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