Contributo in atti di convegno, 2022, ENG

A Digital Glucose Control Strategy Via Subcutaneous Insulin Infusion

M. Di Ferdinando, A. Borri, S. Di Gennaro, P. Pepe, P. Palumbo

University of L'Aquila, CNR, Università di Milano-Bicocca

In this paper, the plasma glucose regulation problem for Type 2 diabetic patients by subcutaneous insulin infusion is studied. A nonlinear time-delay model of the glucose-insulin regulatory system, which takes into account the subcutaneous infusion of insulin, is exploited for the design of a quantized sampled-data static state feedback glucose controller. Quantization in both input/output channels is considered. Spline interpolation methodologies are used in order to obtain an approximation of suitable needed past values of the system state that cannot be always available from the buffer. The stabilization in the sample-and-hold sense is used in order to prove that the proposed digital glucose regulator ensures the semi-global practical stability of the related closed-loop tracking error system, with arbitrarily small final target ball. The proposed digital glucose regulator is validated through simulations.

1st IFAC Workshop on Control of Complex Systems (COSY 2022), Bologna, 24-25/11/2022

Keywords

Sampled-Data Static State Feedback Controllers, Nonlinear Time-Delay Systems, Stabilization in the Sample-and-Hold sense, Glucose-Insulin model

CNR authors

Palumbo Pasquale, Borri Alessandro

CNR institutes

IASI – Istituto di analisi dei sistemi ed informatica "Antonio Ruberti"