In this case study two symbolic-numeric design and modeling methods are compared for
blood glucose control of diabetic patients under intensive care. The analysis is based
on a modified two- compartment model proposed by [1]. In the case of linear approach,
the applied feedback control law decoupling even the nonlinear model leads to a fully
symbolic solution of the closed loop equations. In case of nonlinear approach, the
nonlinear optimal control law based on the Pontryagin's maximum principle has been
developed assuming that glucose injection is the only control variable. The effectivity
of the applied symbolic - numeric procedures being mostly built-in the new version
of Control System Professional Suite (CSPS) of Mathematica 5, have been demonstrated
for controller design in case of a glucose control for treatment of diabetes mellitus.
The results are in good agreement with the earlier presented symbolic-numeric analysis
by [6], [7].
