Optimal glucose-insulin control in H2 space

In this case study optimal glucose-insulin control in the Hardy H₂-space is presented for diabetic patients under intensive care. The analysis is based on a modified two-compartment model. First the classical LQ optimal control design method is considered, and then its extension the so called disturbance rejection LQR (LQ rejection) method, based on the MINIMAX differential game is applied to control design. To demonstrate the results of these two methods, the simulation of the dynamical performance of the non-linear closed loop system in case of food (sugar) intake has been carried out. For the symbolic and numeric computations Mathematica and Matlab-Simulink are used.