A linear model predictive control algorithm for nonlinear large-scale distributed parameter systems

Bonis, Ioannis, Xie, Weiguo and Theodoropoulos, Constantinos (2012) A linear model predictive control algorithm for nonlinear large-scale distributed parameter systems. AiChE Journal, 58 3: 801-811.


Author Bonis, Ioannis
Xie, Weiguo
Theodoropoulos, Constantinos
Title A linear model predictive control algorithm for nonlinear large-scale distributed parameter systems
Journal name AiChE Journal   Check publisher's open access policy
ISSN 0001-1541
1547-5905
Publication date 2012-03
Year available 2011
Sub-type Article (original research)
DOI 10.1002/aic.12626
Volume 58
Issue 3
Start page 801
End page 811
Total pages 11
Place of publication Hoboken, NJ, U.S.A.
Publisher John Wiley & Sons
Collection year 2012
Language eng
Formatted abstract This work provides a framework for linear model predictive control (MPC) of nonlinear distributed parameter systems (DPS), allowing the direct utilization of existing large-scale simulators. The proposed scheme is adaptive and it is based on successive local linearizations of the nonlinear model of the system at hand around the current state and on the use of the resulting local linear models for MPC. At every timestep, not only the future control moves are updated but also the model of the system itself. A model reduction technique is integrated within this methodology to reduce the computational cost of this procedure. It follows the equation-free approach (see Kevrekidis et al., Commun Math Sci. 2003;1:715–762; Theodoropoulos et al., Proc Natl Acad Sci USA. 2000;97:9840-9843), according to which the equations of the model (and consequently of the simulator) need not be given explicitly to the controller. The latter forms a “wrapper” around an existing simulator using it in an input/output fashion. This algorithm is designed for dissipative DPS, dissipativity being a prerequisite for model reduction. The equation-free approach renders the proposed algorithm appropriate for multiscale systems and enables it to handle large-scale systems.
Keyword Model reduction
Successive linearization
Adaptive predictive control
Equation-free
Dominant subspace
Black-box simulators
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status Non-UQ
Additional Notes Article first published online: 2 MAY 2011.

Document type: Journal Article
Sub-type: Article (original research)
Collections: Julius Kruttschnitt Mineral Research Centre Publications
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Created: Tue, 28 Feb 2012, 09:03:27 EST by Karen Holtham on behalf of Julius Kruttschnitt Mineral Research Centre