Title: Optimal H∞ insulin injection control for blood glucose regulation in IDDM patient using physiological model
Authors: Akshaya Kumar Patra; Pravat Kumar Rout
Addresses: Department of Electrical and Electronics Engineering, ITER, Siksha 'O' Anusandhan University, Bhubaneswar, Odisha, 751030, India ' Department of Electrical and Electronics Engineering, ITER, Siksha 'O' Anusandhan University, Bhubaneswar, Odisha, 751030, India
Abstract: This paper addresses the design of output feedback H∞ controller to deliver insulin via an implantable micro insulin dispenser for insulin-dependent diabetes mellitus (IDDM) patients. The theory of H-infinity optimal control has the feature of minimising 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 in IDDM patient. 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 optimisation of a performance index that involves the solution of a 'jump' Riccati differential equation. With an appropriate IDDM patient model, simulation studies have shown that the controller could correct BG deviation using clinically acceptable insulin delivery rates to maintain normoglycaemia.
Keywords: diabetes mellitus; glucose insulin model; insulin infusion; linear matrix inequality; LMI; H-infinity control; controller design; insulin dependence; diabetics; IDDM patients; insulin dispensers; micro dispensers; implants; optimal control; insulin injection; blood glucose regulation; switching controller; optimisation; simulation; normoglycaemia; physiological modelling.
International Journal of Automation and Control, 2014 Vol.8 No.4, pp.309 - 322
Available online: 24 Oct 2014 *Full-text access for editors Access for subscribers Purchase this article Comment on this article