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Contractive Model Predictive Control for Insulin Delivery for Type 1 Diabetics

机译:1型糖尿病患者胰岛素输送的收缩模型预测控制

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摘要

In this paper, a low complexity nonlinear model predictive control (NMPC) approach to blood glucose control is suggested, which is based on the nonlinear glucose-insulin dynamics model. It applies the idea of introducing a contractive constraint in the NMPC problem formulation, which would guarantee the closed-loop system stability when using a small prediction horizon. Particularly, the one step ahead NMPC problem is considered. Further, a quasi-NMPC method is developed, which is based on a sequential linearization of the nonlinear system dynamics and finding a suboptimal solution of the resulting convex Quadratically Constrained Quadratic Programming problem. The suggested approach would be appropriate to be embedded in an automatic blood glucose control system, since it will reduce the complexity of the on-line NMPC computations, simplify the software implementation, and reduce the requirements for available memory. The proposed method is illustrated with simulations on the nonlinear model of glucose-insulin dynamics.
机译:本文提出了一种基于非线性葡萄糖-胰岛素动力学模型的低复杂度非线性模型预测控制(NMPC)血糖控制方法。它采用了在NMPC问题公式中引入收缩约束的想法,当使用较小的预测范围时,这将保证闭环系统的稳定性。特别是,考虑了NMPC问题的第一步。此外,开发了一种准NMPC方法,该方法基于非线性系统动力学的顺序线性化,并找到了由此产生的凸二次约束二次规划问题的次优解。所建议的方法将适合嵌入自动血糖控制系统中,因为它将降低在线NMPC计算的复杂性,简化软件实现,并减少对可用内存的需求。通过对葡萄糖-胰岛素动力学非线性模型的仿真来说明所提出的方法。

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