Uncertainty Characterization and Robust Control of Blood Glucose in Type 1 Diabetic Patients

1 型糖尿病患者血糖的不确定性特征和稳健控制

• 批准号: 1537210
• 负责人: Tarunraj Singh
• 金额: $ 26万
• 依托单位: SUNY at Buffalo
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-09-01 至 2019-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1537210&HistoricalAwards=false
• 关键词: Uncertainty; Characterization; Robust; Control; Blood

The objective of this project is to develop a framework to account for variability across type 1 diabetes patients and develop an insulin delivery paradigm which is insensitive to such variability. Developing solutions to manage type 1 diabetes are challenging for a variety of reasons including lack of well calibrated long-lived sensors, variability in how people of different ages, sex, and body mass index respond to insulin, and reliability of automated insulin delivery system that ensure the well-being of the patient in the presence of glucose sensor and insulin pump faults. A comprehensive approach spanning the disciplines of modeling, uncertainty quantification, forecasting and control will allow controller designs that promise robustness to patient-to-patient variability, leading to the transition to animal and human testing. With the projection that one in three children born this century will develop diabetes, the potential savings in health care costs associated with improved treatment of the disease is substantial. Mathematical tools will be developed that will provide a new way of synthesizing controllers to regulate blood glucose in type 1 diabetic patients. The results will provide a unified framework for representing time-invariant model uncertainties in conjunction with stochastic inputs and measurement noise which can subsequently be used in controller design. The polynomial chaos approach to representing time-invariant uncertainties, coupled with a mapping to Bernstein polynomials, permits determining bounds on the evolving states. A probabilistic constraint to cater to the stochastic input in conjunction with the evolving bounds on the states will permit controller design which is robust to variations across type 1 diabetes patients.

该项目的目标是建立一个框架来解释1型糖尿病患者的可变性，并开发一种对这种可变性不敏感的胰岛素输送模式。开发管理1型糖尿病的解决方案具有挑战性，原因有很多，包括缺乏校准良好的长寿命传感器，不同年龄、性别和体重指数的人对胰岛素的反应存在差异，以及在葡萄糖传感器和胰岛素泵出现故障时确保患者健康的自动化胰岛素输送系统的可靠性。一种涵盖建模、不确定性量化、预测和控制等学科的综合方法将使控制器设计能够保证对患者之间的可变性具有鲁棒性，从而过渡到动物和人体测试。据预测，本世纪出生的儿童中有三分之一将患糖尿病，因此，改善糖尿病治疗可节省大量医疗保健费用。数学工具将被开发，这将提供一种新的方法来合成控制器来调节1型糖尿病患者的血糖。研究结果将提供一个统一的框架，用于表示与随机输入和测量噪声相结合的时不变模型不确定性，这些不确定性随后可用于控制器设计。表示时不变不确定性的多项式混沌方法，加上对伯恩斯坦多项式的映射，允许确定演化状态的边界。为了迎合随机输入的概率约束，结合状态的演化边界，将允许控制器设计对1型糖尿病患者的变化具有鲁棒性。

项目成果

Glycemic Control of People With Type 1 Diabetes Based on Probabilistic Constraints

基于概率约束的 1 型糖尿病患者的血糖控制

• DOI: 10.1109/jbhi.2018.2869365
• 发表时间: 2019
• 期刊: IEEE Journal of Biomedical and Health Informatics
• 影响因子: 7.7
• 作者: Nandi, Souransu;Singh, Tarunraj
• 通讯作者: Singh, Tarunraj

HYPO/HYPERGLYCEMIC CONSTRAINED DESIGN OF IV INSULIN CONTROL FOR TYPE 1 DIABETIC PATIENTS WITH MEAL AND INITIAL CONDITION UNCERTAINTIES USING SEQUENTIAL QUADRATIC PROGRAMMING

使用序贯二次规划对进餐和初始条件不确定的 1 型糖尿病患者进行静脉注射胰岛素控制的低/高血糖约束设计

• 发表时间: 2018
• 期刊: ASME 2018 International Mechanical Engineering Congress and Exposition.
• 作者: Nandi, Souransu;Singh, Tarunraj
• 通讯作者: Singh, Tarunraj

Chance Constraint based design of Input Shapers

基于机会约束的输入整形器设计

• 发表时间: 2017
• 期刊: 2017 IEEE Conference on Control Technology and Applications
• 作者: Nandi, Souransu;Singh, Tarunraj
• 通讯作者: Singh, Tarunraj

Nonintrusive Global Sensitivity Analysis for Linear Systems With Process Noise

具有过程噪声的线性系统的非侵入式全局灵敏度分析

• DOI: 10.1115/1.4041622
• 发表时间: 2019
• 期刊: Journal of Computational and Nonlinear Dynamics
• 影响因子: 2
• 作者: Nandi, Souransu;Singh, Tarunraj
• 通讯作者: Singh, Tarunraj

Polynomial Chaos-Based Controller Design for Uncertain Linear Systems With State and Control Constraints

• DOI: 10.1115/1.4038800
• 发表时间: 2018-07
• 期刊: Journal of Dynamic Systems Measurement and Control-transactions of The Asme
• 影响因子: 1.7
• 作者: S. Nandi;V. Migeon;T. Singh;P. Singla