Title
Inverse optimal trajectory tracking for discrete time nonlinear positive systems
Abstract
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
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. Leon1142.14
Alma Y. Alanis214934.50
Edgar N. Sanchez364585.49
Fernando Ornelas4202.17
Eduardo Ruiz-Velázquez5174.69