Dissipative distributed parameter systems on-line reduction and control using DEIM/APOD combination

Manda Yang, Antonios Armaou

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

Abstract

The output feedback control of distributed parameter systems based on adaptive model reduction is explored in this paper. A significant computational hurdle when using model reduction for control (MRC) is the numerical computation of integrals that appear in the reduced order model limiting MRC's applicability when dealing with nonlinearities. The objective of this paper is to further reduce the computational cost in adaptive proper orthogonal decomposition (APOD). It is addressed by using discrete empirical interpolation method (DEIM) in the observer and controller to reduce the computational cost associated with the nonlinear functions. The proposed method is successfully illustrated on a diffusion reaction process and a fluid flow system described by the Kuramoto-Sivashinsky equation.

Original languageEnglish (US)
Title of host publication2018 Annual American Control Conference, ACC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2557-2562
Number of pages6
ISBN (Print)9781538654286
DOIs
StatePublished - Aug 9 2018
Event2018 Annual American Control Conference, ACC 2018 - Milwauke, United States
Duration: Jun 27 2018Jun 29 2018

Publication series

NameProceedings of the American Control Conference
Volume2018-June
ISSN (Print)0743-1619

Other

Other2018 Annual American Control Conference, ACC 2018
CountryUnited States
CityMilwauke
Period6/27/186/29/18

Fingerprint

Online systems
Interpolation
Decomposition
Feedback control
Costs
Flow of fluids
Controllers

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Yang, M., & Armaou, A. (2018). Dissipative distributed parameter systems on-line reduction and control using DEIM/APOD combination. In 2018 Annual American Control Conference, ACC 2018 (pp. 2557-2562). [8431100] (Proceedings of the American Control Conference; Vol. 2018-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC.2018.8431100
Yang, Manda ; Armaou, Antonios. / Dissipative distributed parameter systems on-line reduction and control using DEIM/APOD combination. 2018 Annual American Control Conference, ACC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 2557-2562 (Proceedings of the American Control Conference).
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Yang, M & Armaou, A 2018, Dissipative distributed parameter systems on-line reduction and control using DEIM/APOD combination. in 2018 Annual American Control Conference, ACC 2018., 8431100, Proceedings of the American Control Conference, vol. 2018-June, Institute of Electrical and Electronics Engineers Inc., pp. 2557-2562, 2018 Annual American Control Conference, ACC 2018, Milwauke, United States, 6/27/18. https://doi.org/10.23919/ACC.2018.8431100

Dissipative distributed parameter systems on-line reduction and control using DEIM/APOD combination. / Yang, Manda; Armaou, Antonios.

2018 Annual American Control Conference, ACC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 2557-2562 8431100 (Proceedings of the American Control Conference; Vol. 2018-June).

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

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Yang M, Armaou A. Dissipative distributed parameter systems on-line reduction and control using DEIM/APOD combination. In 2018 Annual American Control Conference, ACC 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 2557-2562. 8431100. (Proceedings of the American Control Conference). https://doi.org/10.23919/ACC.2018.8431100