Ricerc@Sapienza

The problem of unknown input observer design is considered for coupled PDE/ODE linear systems subject to unknown boundary inputs. Assuming available measurements at the boundary of the distributed domain, the synthesis of the observer is based on geometric conditions and Lyapunov methods. Numerical simulations support and validate the theoretical findings, illustrating the robust estimation performances of the proposed unknown input observer.

Type 1 diabetes results from the lack of endogenous production of insulin by the pancreas.
According to various references, 4% to 12% of diabetic patients are affected by gastroparesis which
delays the digestion process. Gastroparesis is characterized by a constellation of gastrointestinal
symptoms in association with delayed gastric emptying (GE). For the first time, a mathematical model
is introduced to describe the glycemia dynamics for this significant class of patients. It is shown to yield