title: Optimal H infinity insulin injection control for blood glucose regulation in diabetic patients.
abstract: The theory of H infinity 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.
authors.affiliation: School of Electrical, Electronic and Computer Engineering, University of Western Australia, Crawley, WA 6009, Australia. chee-hf@ee.uwa.edu.au
authors.forename: Frederick
authors.initials: F
authors.lastname: Chee
authors.forename: Andrey V
authors.initials: AV
authors.lastname: Savkin
authors.forename: Tyrone L
authors.initials: TL
authors.lastname: Fernando
authors.forename: Saeid
authors.initials: S
authors.lastname: Nahavandi
mesh_terms: D000465:Algorithms; D001786:Blood Glucose / Q000032:analysis / Q000378:metabolism*; D003198:Computer Simulation; D003920:Diabetes Mellitus / Q000097:blood* / Q000188:drug therapy*; D004360:Drug Therapy, Computer-Assisted / Q000379:methods*; D005246:Feedback; D006801:Humans; D007267:Injections; D007328:Insulin / Q000008:administration & dosage*; D007332:Insulin Infusion Systems; D008954:Models, Biological; D016896:Treatment Outcome
chemical_list: D001786:Blood Glucose; D007328:Insulin