Model reduction and control of multi-scale reaction-convection processes

Marie Nathalie Contou-Carrere; Prodromos Daoutidis

doi:10.1016/j.ces.2008.04.035

Model reduction and control of multi-scale reaction-convection processes

Marie Nathalie Contou-Carrere, Prodromos Daoutidis

Chemical Engineering and Materials Science

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

11 Scopus citations

Abstract

This paper focuses on non-isothermal plug flow reactors with fast and slow reactions. These processes are modeled by first order hyperbolic partial differential equations with large and small parameters, which results in stiffness and multi-scale behavior. Through a combination of the method of characteristics and singular perturbation techniques, a model reduction method is developed for obtaining a non-stiff representation of the dominant dynamics of these systems. The application of the method and the advantages of using the reduced models for model-based control are illustrated through a case study.

Original language	English (US)
Pages (from-to)	4012-4025
Number of pages	14
Journal	Chemical Engineering Science
Volume	63
Issue number	15
DOIs	https://doi.org/10.1016/j.ces.2008.04.035
State	Published - Aug 2008

Bibliographical note

Funding Information:
Financial support for this work by the National Science Foundation, Grant CTS-0234440, is gratefully acknowledged.

Keywords

Model reduction
Nonlinear control
Plug flow reactors
Singular perturbations

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title = "Model reduction and control of multi-scale reaction-convection processes",

abstract = "This paper focuses on non-isothermal plug flow reactors with fast and slow reactions. These processes are modeled by first order hyperbolic partial differential equations with large and small parameters, which results in stiffness and multi-scale behavior. Through a combination of the method of characteristics and singular perturbation techniques, a model reduction method is developed for obtaining a non-stiff representation of the dominant dynamics of these systems. The application of the method and the advantages of using the reduced models for model-based control are illustrated through a case study.",

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author = "Contou-Carrere, {Marie Nathalie} and Prodromos Daoutidis",

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AU - Daoutidis, Prodromos

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N2 - This paper focuses on non-isothermal plug flow reactors with fast and slow reactions. These processes are modeled by first order hyperbolic partial differential equations with large and small parameters, which results in stiffness and multi-scale behavior. Through a combination of the method of characteristics and singular perturbation techniques, a model reduction method is developed for obtaining a non-stiff representation of the dominant dynamics of these systems. The application of the method and the advantages of using the reduced models for model-based control are illustrated through a case study.

AB - This paper focuses on non-isothermal plug flow reactors with fast and slow reactions. These processes are modeled by first order hyperbolic partial differential equations with large and small parameters, which results in stiffness and multi-scale behavior. Through a combination of the method of characteristics and singular perturbation techniques, a model reduction method is developed for obtaining a non-stiff representation of the dominant dynamics of these systems. The application of the method and the advantages of using the reduced models for model-based control are illustrated through a case study.

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KW - Nonlinear control

KW - Plug flow reactors

KW - Singular perturbations

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Model reduction and control of multi-scale reaction-convection processes

Abstract

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Keywords

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