A closed-loop optimal control of the plasma glycemia

被引:2
作者
Palumbo, Pasquale [1 ]
De Gaetano, Andrea [1 ]
机构
[1] IASI CNR, Ist Anal Sistemi & Informat A Ruberti, I-00185 Rome, Italy
来源
PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14 | 2006年
关键词
glucose-insulin system; exact feedback linearization; optimal control;
D O I
10.1109/CDC.2006.377737
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The paper investigates the problem of the optimal tracking of a desired plasma glucose evolution by means of a continuous intravenous infusion. The model for the glucose-insulin system here adopted, and recently published, belongs to the class of nonlinear single-distributed delay models. The closed-loop control law is performed according to the feedback linearization theory: a state-feedback is designed in order to exactly linearize the model with respect to a suitably defined change of coordinates. Then, the optimal tracking is achieved by minimizing a performance index. The methodology here proposed allows both to decrease and increase the glycemia. Simulations support theoretical results and show the physical reliability of the approach proposed.
引用
收藏
页码:679 / 684
页数:6
相关论文
共 21 条
[1]   The subcutaneous route to insulin-dependent diabetes therapy [J].
Bellazzi, R ;
Nucci, G ;
Cobelli, C .
IEEE ENGINEERING IN MEDICINE AND BIOLOGY MAGAZINE, 2001, 20 (01) :54-64
[2]   QUANTITATIVE ESTIMATION OF INSULIN SENSITIVITY [J].
BERGMAN, RN ;
IDER, YZ ;
BOWDEN, CR ;
COBELLI, C .
AMERICAN JOURNAL OF PHYSIOLOGY, 1979, 236 (06) :E667-E677
[3]  
Bleris LG, 2005, IEEE DECIS CONTR P, P5162
[4]   Optimal H∞ insulin injection control for blood glucose regulation in diabetic patients [J].
Chee, F ;
Savkin, AV ;
Fernando, TL ;
Nahavandi, S .
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 2005, 52 (10) :1625-1631
[5]   Mathematical modelling of the intravenous glucose tolerance test [J].
De Gaetano, A ;
Arino, O .
JOURNAL OF MATHEMATICAL BIOLOGY, 2000, 40 (02) :136-168
[6]  
Dua P, 2005, IEEE DECIS CONTR P, P885
[7]   OPTIMAL INSULIN INFUSION RESULTING FROM A MATHEMATICAL-MODEL OF BLOOD-GLUCOSE DYNAMICS [J].
FISHER, ME ;
TEO, KL .
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 1989, 36 (04) :479-486
[8]   A SEMICLOSED-LOOP ALGORITHM FOR THE CONTROL OF BLOOD-GLUCOSE LEVELS IN DIABETICS [J].
FISHER, ME .
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 1991, 38 (01) :57-61
[9]  
GOH CJ, 1987, MISER OPTIMAL CONTRO
[10]  
Isidori A, 1995, NONLINEAR CONTROL SYSTEMS DESIGN 1995, VOLS 1 AND 2, P87