Abstract
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 Âμ-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.
Original language | English (US) |
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Pages (from-to) | 215-238 |
Number of pages | 24 |
Journal | Optimal Control Applications and Methods |
Volume | 32 |
Issue number | 2 |
DOIs | |
State | Published - Mar 2011 |
Keywords
- glucose tracking
- robust control
- type 1 diabetes
- uncertainty
- Âμ-synthesis
ASJC Scopus subject areas
- Control and Systems Engineering
- Software
- Control and Optimization
- Applied Mathematics