Article ID: | iaor201112211 |
Volume: | 32 |
Issue: | 2 |
Start Page Number: | 215 |
End Page Number: | 238 |
Publication Date: | Mar 2011 |
Journal: | Optimal Control Applications and Methods |
Authors: | Kovcs L, Kulcsr B, Gyrgy A, Beny Z |
Keywords: | control, programming: dynamic |
Robust servo control of a model-based biomedical application is presented in the article. The glucose–insulin control of type 1 diabetic patients is considered to be solved using the results of post-modern robust control principles. The paper uses a recently published glucose–insulin model and presents the transformation of the model to describe the dynamics of type 1 diabetes mellitus. The nonlinear plant is then linearized at a given steady state point. In order to characterize the uncertainty around the nominal model in frequency domain, a parametric nonlinear model sensitivity analysis is performed using gridding method. The aim of the paper is to underline the viability of the robust servo, linear -control algorithm tested in highly nonlinear closed-loop simulation environment. Using two degree-of-freedom robust controller, the structured singular value of the closed-loop is designed to fulfill the robust performance requirements and assure glucose level control. Glucose level tracking is ensured under simulated and realistic exogenous meal disturbances.