Many articles dealing with insulin-glucose control have been published in the last
decades, and they mostly assumed that all the system state variables are available
for feedback. However, this is not usually the case, or they are not so cheap in practice
as blood glucose measurements are. In this paper the use of the reduced-order estimator
(also known as the Luenberger observer) is considered in symbolic form employing Polynomial
Control System Application of Mathematica for the three-state minimal Bergman model,
[1], as this can be used to reconstruct those state variables that are hard to be
recovered directly from the system outputs: remote compartment insulin and plasma
insulin. Nonlinear closed loop simulations with H2/H∞ control (disturbance rejection
LQ method) showed that the observer, which is faster than the system itself, can provide
a very good state recovery performance.
