Abstract | ||
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In this paper, discrete time inverse optimal trajectory tracking for a class of non-linear positive systems is proposed. The scheme is developed for MIMO (multi-input, multi-output) affine systems. This approach is adapted for glycemic control of type 1 diabetes mellitus (T1DM) patients. The control law calculates the insulin delivery rate in order to prevent hyperglycemia levels. A neural model is obtained from an on-line neural identifier, which uses a recurrent neural network, trained with the extended Kalman filter (EKF); this neural model has an affine form, which permits the applicability of inverse optimal control scheme. The proposed algorithm is tuned to follow a desired trajectory; this trajectory reproduces the glucose absorption of a healthy person. Simulation results illustrate the applicability of the control law in biological processes. |
Year | DOI | Venue |
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2011 | 10.1109/CDC.2011.6160351 | Decision and Control and European Control Conference |
Keywords | Field | DocType |
Kalman filters,MIMO systems,biocontrol,discrete time systems,diseases,drug delivery systems,neurocontrollers,nonlinear control systems,nonlinear filters,optimal control,recurrent neural nets,tracking,trajectory control,MIMO affine systems,T1DM,biological processes,control law,discrete time inverse optimal trajectory tracking,discrete time nonlinear positive systems,extended Kalman filter,glucose absorption,glycemic control,hyperglycemia level prevention,insulin delivery rate,inverse optimal control scheme,multiinput multioutput affine systems,neural model,online neural identifier,recurrent neural network,type 1 diabetes mellitus patients | Mathematical optimization,Extended Kalman filter,Optimal control,Nonlinear system,Computer science,Control theory,Recurrent neural network,Kalman filter,Discrete time and continuous time,Trajectory,Positive systems | Conference |
ISSN | ISBN | Citations |
0743-1546 E-ISBN : 978-1-61284-799-3 | 978-1-61284-799-3 | 2 |
PageRank | References | Authors |
0.39 | 0 | 5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Blanca S. Leon | 1 | 14 | 2.14 |
Alma Y. Alanis | 2 | 149 | 34.50 |
Edgar N. Sanchez | 3 | 645 | 85.49 |
Fernando Ornelas | 4 | 20 | 2.17 |
Eduardo Ruiz-Velázquez | 5 | 17 | 4.69 |