Economic model predictive control of parabolic PDE systems using empirical eigenfunctions

Liangfeng Lao, Matthew Ellis, Antonios Armaou, Panagiotis D. Christofides

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This work focuses on the development of reduced-order models (ROMs) of transport-reaction processes described by nonlinear parabolic partial differential equations (PDEs) and their application in the formulation of economic model predictive control (EMPC) systems. Specifically, the reduced-order models of the PDEs are constructed on the basis of historical data-based empirical eigenfunctions by applying Karhunen-Loève expansion. Several EMPC systems each using a different ROM (i.e., different number of modes and derived from either using analytical sinusoidal/cosinusoidal eigenfunctions or empirical eigenfunctions as basis functions) are applied to a tubular reactor example where a second-order reaction occurs. The model accuracy, computational time and closed-loop economic performance of the closed-loop tubular reactor under the different EMPC systems are compared.

Original languageEnglish (US)
Title of host publication2014 American Control Conference, ACC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3375-3380
Number of pages6
ISBN (Print)9781479932726
DOIs
StatePublished - Jan 1 2014
Event2014 American Control Conference, ACC 2014 - Portland, OR, United States
Duration: Jun 4 2014Jun 6 2014

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2014 American Control Conference, ACC 2014
CountryUnited States
CityPortland, OR
Period6/4/146/6/14

Fingerprint

Predictive control systems
Model predictive control
Eigenvalues and eigenfunctions
Partial differential equations
Economics

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Lao, L., Ellis, M., Armaou, A., & Christofides, P. D. (2014). Economic model predictive control of parabolic PDE systems using empirical eigenfunctions. In 2014 American Control Conference, ACC 2014 (pp. 3375-3380). [6858761] (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACC.2014.6858761
Lao, Liangfeng ; Ellis, Matthew ; Armaou, Antonios ; Christofides, Panagiotis D. / Economic model predictive control of parabolic PDE systems using empirical eigenfunctions. 2014 American Control Conference, ACC 2014. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 3375-3380 (Proceedings of the American Control Conference).
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Lao, L, Ellis, M, Armaou, A & Christofides, PD 2014, Economic model predictive control of parabolic PDE systems using empirical eigenfunctions. in 2014 American Control Conference, ACC 2014., 6858761, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 3375-3380, 2014 American Control Conference, ACC 2014, Portland, OR, United States, 6/4/14. https://doi.org/10.1109/ACC.2014.6858761

Economic model predictive control of parabolic PDE systems using empirical eigenfunctions. / Lao, Liangfeng; Ellis, Matthew; Armaou, Antonios; Christofides, Panagiotis D.

2014 American Control Conference, ACC 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 3375-3380 6858761 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Lao L, Ellis M, Armaou A, Christofides PD. Economic model predictive control of parabolic PDE systems using empirical eigenfunctions. In 2014 American Control Conference, ACC 2014. Institute of Electrical and Electronics Engineers Inc. 2014. p. 3375-3380. 6858761. (Proceedings of the American Control Conference). https://doi.org/10.1109/ACC.2014.6858761