Control design for suppressing transversal patterns in reaction-(convection)-diffusion systems

Yelena Smagina; Olga Nekhamkina; Moshe Sheintuch

doi:10.1016/j.jprocont.2006.06.003

Control design for suppressing transversal patterns in reaction-(convection)-diffusion systems

Yelena Smagina^*, Olga Nekhamkina, Moshe Sheintuch

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The stabilization of planar stationary fronts solutions in a two-dimensional rectangular or cylinder domain, in which a diffusion-convection-reaction process occurs, is studied by reducing the original two-variable PDEs model to an approximate one-dimensional model that describes the behavior of the front line. We consider the control strategy based on sensors placed at the designed front line position and actuators that are spatially-uniform or space dependent. We present a systematic control design that determines the number of required sensors and actuators, their position and their form. The control used linear analysis of a lumped truncated model and concepts of finite and infinite zeros of linear multidimensional systems.

Original language	English
Pages (from-to)	913-921
Number of pages	9
Journal	Journal of Process Control
Volume	16
Issue number	9
DOIs	https://doi.org/10.1016/j.jprocont.2006.06.003
State	Published - Oct 2006
Externally published	Yes

Keywords

Control
Planar front
Reaction-convection-diffusion processes
Root-locus method
System zeros
Transversal patterns

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10.1016/j.jprocont.2006.06.003

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@article{3c23716b2d9342fd8861a8c4524925f9,

title = "Control design for suppressing transversal patterns in reaction-(convection)-diffusion systems",

abstract = "The stabilization of planar stationary fronts solutions in a two-dimensional rectangular or cylinder domain, in which a diffusion-convection-reaction process occurs, is studied by reducing the original two-variable PDEs model to an approximate one-dimensional model that describes the behavior of the front line. We consider the control strategy based on sensors placed at the designed front line position and actuators that are spatially-uniform or space dependent. We present a systematic control design that determines the number of required sensors and actuators, their position and their form. The control used linear analysis of a lumped truncated model and concepts of finite and infinite zeros of linear multidimensional systems.",

keywords = "Control, Planar front, Reaction-convection-diffusion processes, Root-locus method, System zeros, Transversal patterns",

author = "Yelena Smagina and Olga Nekhamkina and Moshe Sheintuch",

note = "Funding Information: Work supported by the US-Israel Binational Science Foundation. MS is a member of the Minerva Center for Nonlinear Physics of Complex Systems. ON acknowledges partial support by the Center for Absorption in Science, Ministry of Immigrant Absorption, State of Israel. ",

year = "2006",

month = oct,

doi = "10.1016/j.jprocont.2006.06.003",

language = "英语",

volume = "16",

pages = "913--921",

journal = "Journal of Process Control",

issn = "0959-1524",

publisher = "Elsevier Ltd.",

number = "9",

}

TY - JOUR

T1 - Control design for suppressing transversal patterns in reaction-(convection)-diffusion systems

AU - Smagina, Yelena

AU - Nekhamkina, Olga

AU - Sheintuch, Moshe

N1 - Funding Information: Work supported by the US-Israel Binational Science Foundation. MS is a member of the Minerva Center for Nonlinear Physics of Complex Systems. ON acknowledges partial support by the Center for Absorption in Science, Ministry of Immigrant Absorption, State of Israel.

PY - 2006/10

Y1 - 2006/10

N2 - The stabilization of planar stationary fronts solutions in a two-dimensional rectangular or cylinder domain, in which a diffusion-convection-reaction process occurs, is studied by reducing the original two-variable PDEs model to an approximate one-dimensional model that describes the behavior of the front line. We consider the control strategy based on sensors placed at the designed front line position and actuators that are spatially-uniform or space dependent. We present a systematic control design that determines the number of required sensors and actuators, their position and their form. The control used linear analysis of a lumped truncated model and concepts of finite and infinite zeros of linear multidimensional systems.

AB - The stabilization of planar stationary fronts solutions in a two-dimensional rectangular or cylinder domain, in which a diffusion-convection-reaction process occurs, is studied by reducing the original two-variable PDEs model to an approximate one-dimensional model that describes the behavior of the front line. We consider the control strategy based on sensors placed at the designed front line position and actuators that are spatially-uniform or space dependent. We present a systematic control design that determines the number of required sensors and actuators, their position and their form. The control used linear analysis of a lumped truncated model and concepts of finite and infinite zeros of linear multidimensional systems.

KW - Control

KW - Planar front

KW - Reaction-convection-diffusion processes

KW - Root-locus method

KW - System zeros

KW - Transversal patterns

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U2 - 10.1016/j.jprocont.2006.06.003

DO - 10.1016/j.jprocont.2006.06.003

M3 - 文章

AN - SCOPUS:33748308923

SN - 0959-1524

VL - 16

SP - 913

EP - 921

JO - Journal of Process Control

JF - Journal of Process Control

IS - 9

ER -

Control design for suppressing transversal patterns in reaction-(convection)-diffusion systems

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Keywords

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