Title :
Optimal H∞ insulin injection control for blood glucose regulation in diabetic patients
Author :
Chee, Frederick ; Savkin, Andrey V. ; Fernando, Tyrone L. ; Nahavandi, Saeid
Author_Institution :
Sch. of Electr., Univ. of Western Australia, Crawley, WA, Australia
Abstract :
The theory of H∞ optimal control has the feature of minimizing the worst-case gain of an unknown disturbance input. When appropriately modified, the theory can be used to design a "switching" controller that can be applied to insulin injection for blood glucose (BG) regulation. The "switching" controller is defined by a collection of basic insulin rates and a rule that switches the insulin rates from one value to another. The rule employed an estimation of BG from noisy measurements, and the subsequent optimization of a performance index that involves the solution of a "jump" Riccati differential equation and a discrete-time dynamic programming equation. With an appropriate patient model, simulation studies have shown that the controller could correct BG deviation using clinically acceptable insulin delivery rates.
Keywords :
H/sup /spl infin// control; H/sup /spl infin// optimisation; Riccati equations; biochemistry; biocontrol; blood; differential equations; diseases; blood glucose regulation; diabetic patients; discrete-time dynamic programming equation; jump Riccati differential equation; optimal H/sup /spl infin// insulin injection control; optimization; switching controller; Blood; Control systems; Control theory; Diabetes; Dynamic programming; Insulin; Integral equations; Optimal control; Riccati equations; Sugar; Dynamic programming; H-infinity control; hybrid dynamical systems; insulin infusion; jump Riccati differential equation; optimal control; Algorithms; Blood Glucose; Computer Simulation; Diabetes Mellitus; Drug Therapy, Computer-Assisted; Feedback; Humans; Injections; Insulin; Insulin Infusion Systems; Models, Biological; Treatment Outcome;
Journal_Title :
Biomedical Engineering, IEEE Transactions on
DOI :
10.1109/TBME.2005.855727