Control of spatially distributed processes with unknown transport-reaction parameters via two layer system adaptations

Davood Babaei Pourkargar, Antonios Armaou

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The control problem of dissipative distributed parameter systems described by semilinear parabolic partial differential equations with unknown parameters and its application to transport-reaction chemical processes is considered. The infinite dimensional modal representation of such systems can be partitioned into finite dimensional slow and infinite dimensional fast and stable subsystems. A combination of a model order reduction approach and a Lyapunov-based adaptive control technique is used to address the control issues in the presence of unknown parameters of the system. Galerkin's method is used to reduce the infinite dimensional description of the system; we apply adaptive proper orthogonal decomposition (APOD) to initiate and recursively revise the set of empirical basis functions needed in Galerkin's method to construct switching reduced order models. The effectiveness of the proposed APOD-based adaptive control approach is successfully illustrated on temperature regulation in a catalytic chemical reactor in the presence of unknown transport and reaction parameters.

Original languageEnglish (US)
Pages (from-to)2497-2507
Number of pages11
JournalAICHE Journal
Volume61
Issue number8
DOIs
StatePublished - Jan 1 2015

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Chemical Phenomena
Computer Communication Networks
Galerkin methods
Decomposition
Chemical reactors
Temperature
Partial differential equations
Chemical reactions

All Science Journal Classification (ASJC) codes

  • Biotechnology
  • Environmental Engineering
  • Chemical Engineering(all)

Cite this

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abstract = "The control problem of dissipative distributed parameter systems described by semilinear parabolic partial differential equations with unknown parameters and its application to transport-reaction chemical processes is considered. The infinite dimensional modal representation of such systems can be partitioned into finite dimensional slow and infinite dimensional fast and stable subsystems. A combination of a model order reduction approach and a Lyapunov-based adaptive control technique is used to address the control issues in the presence of unknown parameters of the system. Galerkin's method is used to reduce the infinite dimensional description of the system; we apply adaptive proper orthogonal decomposition (APOD) to initiate and recursively revise the set of empirical basis functions needed in Galerkin's method to construct switching reduced order models. The effectiveness of the proposed APOD-based adaptive control approach is successfully illustrated on temperature regulation in a catalytic chemical reactor in the presence of unknown transport and reaction parameters.",
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Control of spatially distributed processes with unknown transport-reaction parameters via two layer system adaptations. / Babaei Pourkargar, Davood; Armaou, Antonios.

In: AICHE Journal, Vol. 61, No. 8, 01.01.2015, p. 2497-2507.

Research output: Contribution to journalArticle

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