Robust observer based control for plasma glucose regulation in type 1 diabetes patient using attractive ellipsoid...

Area of Science:

• Control Systems Engineering
• Biomedical Engineering
• Endocrinology

Background:

• Type 1 diabetes (T1D) management faces challenges due to intra-patient variability and unmeasured states.
• Maintaining stable plasma glucose concentration is critical to avoid hypoglycemia and hyperglycemia.

Purpose of the Study:

• To design a robust observer-based output feedback control law for uncertain nonlinear systems.
• To apply this control strategy for regulating plasma glucose in T1D patients, addressing parametric variations and unmeasured states.

Main Methods:

• The attractive ellipsoid method (AEM) is employed for the T1D patient model.
• Observer and controller conditions are formulated using linear matrix inequalities (LMIs) for gain computation.
• Robustness is validated through closed-loop simulations on 200 virtual T1D patients.

Main Results:

• The designed controller effectively avoids hypoglycemia and post-prandial hyperglycemia under uncertain conditions.
• Simulations demonstrate significant reduction in glucose excursions with bounded parametric variability.
• The control strategy proves robust against uncertain exogenous meal disturbances.

Conclusions:

• The developed robust observer-based output feedback control law is effective for T1D glucose regulation.
• The LMI-based approach facilitates easy computation of observer and controller gains.
• This method offers a promising solution for managing T1D by mitigating glucose variability.