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.

DOI: 10.1504/IJAAC.2014.065448

International Journal of Automation and Control, 2014 Vol.8 No.4, pp.309 - 322

Received: 11 Jan 2014
Accepted: 29 Mar 2014
Published online: 31 Oct 2014 *

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