TY - JOUR
T1 - An off-line model reduction-based technique for on-line linear MPC applications for nonlinear large-scale distributed systems
AU - Xie, Weiguo
AU - Theodoropoulos, Constantinos
PY - 2010
Y1 - 2010
N2 - Linear Model Predictive Control (MPC) has been effectively applied for many process systems. However, linear MPC is often inappropriate for controlling nonlinear large-scale systems. To overcome this, model reduction methodology has been exploited to enable the efficient application of linear MPC for nonlinear distributed-parameter systems. An implementation of the proper orthogonal decomposition method combined with a finite element Galerkin projection is first used to extract accurate non-linear low-order models from the large-scale ones. Then a Trajectory Piecewise-Linear method is developed to construct a piecewise linear representation of the reduced nonlinear model. Linear MPC, based on quadratic programming, can then be efficiently performed on the resulting system. The stabilisation of the oscillatory behaviour of a tubular reactor with recycle is used as an illustrative example to demonstrate our methodology.
AB - Linear Model Predictive Control (MPC) has been effectively applied for many process systems. However, linear MPC is often inappropriate for controlling nonlinear large-scale systems. To overcome this, model reduction methodology has been exploited to enable the efficient application of linear MPC for nonlinear distributed-parameter systems. An implementation of the proper orthogonal decomposition method combined with a finite element Galerkin projection is first used to extract accurate non-linear low-order models from the large-scale ones. Then a Trajectory Piecewise-Linear method is developed to construct a piecewise linear representation of the reduced nonlinear model. Linear MPC, based on quadratic programming, can then be efficiently performed on the resulting system. The stabilisation of the oscillatory behaviour of a tubular reactor with recycle is used as an illustrative example to demonstrate our methodology.
KW - Distributed systems
KW - Model predictive control
KW - Model reduction
KW - Proper orthogonal decomposition
KW - Trajectory piecewise-linear
UR - http://www.scopus.com/inward/record.url?scp=77955180553&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77955180553&partnerID=8YFLogxK
U2 - 10.1016/S1570-7946(10)28069-0
DO - 10.1016/S1570-7946(10)28069-0
M3 - Article
AN - SCOPUS:77955180553
VL - 28
SP - 409
EP - 414
JO - Computer Aided Chemical Engineering
JF - Computer Aided Chemical Engineering
SN - 1570-7946
IS - C
ER -