Robust control of type 1 diabetes using μ-synthesis

Robust servo control of type 1 diabetes is presented from a control theoretic perspective in this paper. Using a recently published glucose-insulin model, first the transformation of the model to the type 1 diabetes case is performed. Then, by parametric nonlinear model sensitivity analysis using a gridding method, the uncertainty around the nominal model is characterized. The viability of the robust servo, linear μ-control algorithm tested in highly nonlinear closed-loop simulation environment is realized by a two degree-of-freedom robust controller. Robust performance requirements are achieved and glucose level tracking is ensured under unknown and realistic exogenous meal disturbance.

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