Title
Optimal H∞ insulin injection control for blood glucose regulation in diabetic patients
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.
Year
DOI
Venue
2005
10.1109/TBME.2005.855727
Biomedical Engineering, IEEE Transactions
Keywords
Field
DocType
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,Dynamic programming,H-infinity control,hybrid dynamical systems,insulin infusion,jump Riccati differential equation,optimal control
Differential equation,Mathematical optimization,Control theory,Optimal control,Performance index,Computer science,Control theory,Bellman equation,Blood sugar regulation,Insulin,Jump
Journal
Volume
Issue
ISSN
52
10
0018-9294
Citations 
PageRank 
References 
24
2.16
3
Authors
4
Name
Order
Citations
PageRank
Frederick Chee1242.16
Andrey V. Savkin28518.09
Tyrone Lucius Fernando3242.16
Saeid Nahavandi41545219.71