Revisiting APOD accuracy for nonlinear control of transport reaction processes

A spatially discrete approach

Manda Yang, Antonios Armaou

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This article addresses the problem of output feedback control of dissipative distributed parameter systems. The reduced order model used for controller and observer synthesis is recursively updated using a revised version of adaptive proper orthogonal decomposition (APOD), based on decomposing spatially discrete solution profiles. This approach eliminates the basis size oscillation resulting from the inaccuracy of estimation of energy in APOD when the sampling speed is too slow. The performance of this method is illustrated by applying it to regulate a diffusion-reaction process and a fluid flow system described by the Kuramoto-Sivashinsky equation.

Original languageEnglish (US)
Pages (from-to)146-158
Number of pages13
JournalChemical Engineering Science
Volume181
DOIs
StatePublished - May 18 2018

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Decomposition
Feedback control
Flow of fluids
Sampling
Controllers

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering

Cite this

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abstract = "This article addresses the problem of output feedback control of dissipative distributed parameter systems. The reduced order model used for controller and observer synthesis is recursively updated using a revised version of adaptive proper orthogonal decomposition (APOD), based on decomposing spatially discrete solution profiles. This approach eliminates the basis size oscillation resulting from the inaccuracy of estimation of energy in APOD when the sampling speed is too slow. The performance of this method is illustrated by applying it to regulate a diffusion-reaction process and a fluid flow system described by the Kuramoto-Sivashinsky equation.",
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Revisiting APOD accuracy for nonlinear control of transport reaction processes : A spatially discrete approach. / Yang, Manda; Armaou, Antonios.

In: Chemical Engineering Science, Vol. 181, 18.05.2018, p. 146-158.

Research output: Contribution to journalArticle

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AU - Armaou, Antonios

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AB - This article addresses the problem of output feedback control of dissipative distributed parameter systems. The reduced order model used for controller and observer synthesis is recursively updated using a revised version of adaptive proper orthogonal decomposition (APOD), based on decomposing spatially discrete solution profiles. This approach eliminates the basis size oscillation resulting from the inaccuracy of estimation of energy in APOD when the sampling speed is too slow. The performance of this method is illustrated by applying it to regulate a diffusion-reaction process and a fluid flow system described by the Kuramoto-Sivashinsky equation.

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