Title :
Optimal glucose-insulin control in H2 space
Author :
Kovács, L. ; Paláncz, B. ; Almássy, Zs ; Benyó, Z.
Author_Institution :
Dep. of Control Eng. & Inf. Technol., Budapest Univ. of Technol. & Econ., Hungary
Abstract :
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.
Keywords :
biochemistry; biocontrol; blood; diseases; molecular biophysics; optimal control; physiological models; proteins; Hardy /spl Hscr//sub 2/-space; LQ optimal control design method; MINIMAX differential game; Mathematica; Matlab-Simulink; diabetic patients; disturbance rejection LQR; food intake; modified two-compartment model; nonlinear closed loop system; optimal glucose-insulin control; sugar intake; Biological system modeling; Control design; Control systems; Diabetes; Insulin; Mathematical model; Minimax techniques; Optimal control; Plasma measurements; Sugar; Diabetes mellitus; LQ control; LQR control; glucose-insulin control;
Conference_Titel :
Engineering in Medicine and Biology Society, 2004. IEMBS '04. 26th Annual International Conference of the IEEE
Conference_Location :
San Francisco, CA
Print_ISBN :
0-7803-8439-3
DOI :
10.1109/IEMBS.2004.1403270
