Model predictive control for a multi-compartment respiratory system

In this paper, we develop a model predictive controller for a multi-compartment respiratory system. Specifically, for a given periodic reference volume pattern, we design a tracking controller using a framework that merges repetitive control and model predictive control. In particular, the periodic multi-compartment model is transformed into a lifted run-to-run invariant model and a model predictive controller with nonnegative control input constraints is designed. The proposed tracking control framework is applied to a two-compartment lung mechanics model to demonstrate the efficacy of the proposed approach.

[1]  W. Heinrichs,et al.  An adaptive lung ventilation controller , 1994, IEEE Transactions on Biomedical Engineering.

[2]  Hancao Li,et al.  Limit cycle stability analysis and adaptive control of a multi-compartment model for a pressure-limited respirator and lung mechanics system , 2010, Int. J. Control.

[3]  D. Roberts,et al.  Proportional assist ventilation. Results of an initial clinical trial. , 1992, The American review of respiratory disease.

[4]  Wassim M. Haddad,et al.  Optimal determination of respiratory airflow patterns using a nonlinear multi-compartment model for a lung-rib-cage system , 2011, Proceedings of the 2011 American Control Conference.

[5]  Mato Baotic,et al.  Multi-Parametric Toolbox (MPT) , 2004, HSCC.

[6]  Hong Chen,et al.  Nonlinear Model Predictive Control Schemes with Guaranteed Stability , 1998 .

[7]  M Dojat,et al.  A knowledge-based system for assisted ventilation of patients in intensive care units , 1992, International journal of clinical monitoring and computing.

[8]  F. Lemaire,et al.  Principles and practice of mechanical ventilation , 1995, Intensive Care Medicine.

[9]  W. Haddad,et al.  Nonlinear Dynamical Systems and Control: A Lyapunov-Based Approach , 2008 .

[10]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[11]  E. Weibel.  Morphometry of the Human Lung , 1965, Springer Berlin Heidelberg.

[12]  Paolo Navalesi,et al.  Neural control of mechanical ventilation in respiratory failure , 1999, Nature Medicine.

[13]  Jay H. Lee,et al.  A model-based predictive control approach to repetitive control of continuous processes with periodic operations , 2001 .

[14]  S. Hara,et al.  Repetitive control system: a new type servo system for periodic exogenous signals , 1988 .