Blood glucose regulation in IDDM patient by H∞ control: An LMI approach

This paper addresses the design of output feedback h-infinity controller to deliver insulin via an implantable micro-insulin dispenser for insulin-dependent diabetes mellitus (IDDM) patients. The concept of Linear Matrix Inequality (LMI) has been used for the design of the h-infinity controller. For synthesis of the controller, a 9^th order linear state-space model of the multivariable nonlinear dynamic glucose-insulin process of the IDDM patient has been used. The performance of the resulting controller was tested on the nonlinear model of the process in simulation platform with necessary implants of the insulin pump and glucose sensor. The controller performance was assessed in terms of its ability to track a normoglycemic set point of 81mg/dl in presence of thrice daily meal disturbance and once daily exercise disturbance with other stochastic noises. The designed controller gives robust performance with good noise rejection.