Multiple model predictive control of dissipative PDE systems

Bonis, Ioannis, Xie, Weiguo and Theodoropoulos, Constantinos (2014) Multiple model predictive control of dissipative PDE systems. IEEE Transactions on Control Systems Technology, 22 3: 1206-1214. doi:10.1109/TCST.2013.2270182

Author Bonis, Ioannis
Xie, Weiguo
Theodoropoulos, Constantinos
Title Multiple model predictive control of dissipative PDE systems
Journal name IEEE Transactions on Control Systems Technology   Check publisher's open access policy
ISSN 1063-6536
Publication date 2014-01-01
Year available 2013
Sub-type Article (original research)
DOI 10.1109/TCST.2013.2270182
Open Access Status Not yet assessed
Volume 22
Issue 3
Start page 1206
End page 1214
Total pages 9
Place of publication Piscataway, NJ, United States
Publisher Institute of Electrical and Electronics Engineers
Language eng
Abstract Model predictive control (MPC) is a popular strategy, often applied to distributed parameter systems (DPSs). Most DPSs are approximated by nonlinear large-scale models. Using it directly for control applications is problematic because of the high associated computational cost and the nonconvexity of the underlying optimization problem. In this brief, we build on the notion of multiple MPC, combining it with equation-free model reduction techniques, to identify the (relatively low-dimensional) subspace of slow modes and obtain a local reduced-order linear model. This procedure results in an input/output framework, enabling the use of black-box deterministic and stochastic simulators. The set of linear low-dimensional models obtained off-line along the reference trajectories are used for linear MPC, either with off-line gain scheduling or with online identification of the reduced model. In the former approach, the decision to use the model in real time is taken a priori, whereas in the latter a local model is computed online as a function of a set stored in a model bank. The two approaches are discussed and validated using case studies based on a tubular reactor, a highly nonlinear dissipative partial differential equation system exhibiting instabilities and multiplicity of state.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: Julius Kruttschnitt Mineral Research Centre Publications
School of Chemical Engineering Publications
Official 2014 Collection
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Citation counts: TR Web of Science Citation Count  Cited 3 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 8 times in Scopus Article | Citations
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Created: Mon, 24 Feb 2014, 23:28:11 EST by Karen Holtham on behalf of Julius Kruttschnitt Mineral Research Centre