Robust control of type 1 diabetes using μ-synthesis

Author

Kovacs, Levente ; Gyorgy, Andras ; Kulcsar, B. ; Szalay, Peter ; Benyo, Balazs ; Benyo, Zoltan

Author_Institution

Dept. of Control Eng. & Inf. Technol., Budapest Univ. of Technol. & Econ., Budapest, Hungary

fYear

2010

fDate

7-10 Sept. 2010

Firstpage

1

Lastpage

6

Abstract

Robust servo control of type 1 diabetes is presented from a control theoretic perspective in this paper. Using a recently published glucose-insulin model, first the transformation of the model to the type 1 diabetes case is performed. Then, by parametric nonlinear model sensitivity analysis using a gridding method, the uncertainty around the nominal model is characterized. The viability of the robust servo, linear μ-control algorithm tested in highly nonlinear closed-loop simulation environment is realized by a two degree-of-freedom robust controller. Robust performance requirements are achieved and glucose level tracking is ensured under unknown and realistic exogenous meal disturbance.

Keywords

biochemistry; closed loop systems; control system synthesis; diseases; linear systems; medical control systems; nonlinear control systems; robust control; sensitivity analysis; servomechanisms; singular value decomposition; sugar; tracking; μ-synthesis; control theoretic perspective; degree-of-freedom robust controller; glucose level tracking; glucose-insulin model; gridding method; linear μ-control algorithm; model transformation; nominal model; nonlinear closed-loop simulation environment; parametric nonlinear model sensitivity analysis; realistic exogenous meal disturbance; robust performance requirements; robust servo control; robust servo viability; type 1 diabetes; μ-synthesis; Type 1 diabetes; glucose tracking; robust control; uncertainty;

fLanguage

English

Publisher

iet

Conference_Titel

Control 2010, UKACC International Conference on

Conference_Location

Coventry

Electronic_ISBN

978-1-84600-038-6

Type

conf

DOI

10.1049/ic.2010.0345

Filename

6490803