Abstract
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.
Original language | English (US) |
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Pages (from-to) | 409-414 |
Number of pages | 6 |
Journal | Computer Aided Chemical Engineering |
Volume | 28 |
Issue number | C |
DOIs | |
State | Published - 2010 |
Externally published | Yes |
Bibliographical note
Funding Information:The authors would like taoc knowledge the financial supporot f the EC FP6 Project: CONNECT [COOP-2006-31638] and the ECF P7 project CAFÉ[ KBBE-212754].
Keywords
- Distributed systems
- Model predictive control
- Model reduction
- Proper orthogonal decomposition
- Trajectory piecewise-linear