Order reduction for nonlinear dynamic models of distributed reacting systems

S. Y. Shvartsman; C. Theodoropoulos; R. Rico-Martínez; I. G. Kevrekidis; E. S. Titi; T. J. Mountziaris

doi:10.1016/S0959-1524(99)00029-3

Order reduction for nonlinear dynamic models of distributed reacting systems

S. Y. Shvartsman, C. Theodoropoulos, R. Rico-Martínez, I. G. Kevrekidis, E. S. Titi, T. J. Mountziaris

Research output: Contribution to journal › Conference article › peer-review

67 Scopus citations

Abstract

Detailed first-principles models of transport and reaction (based on partial differential equations) lead, after discretization, to dynamical systems of very high order. Systematic methodologies for model order reduction are vital in exploiting such fundamental models in the analysis, design and real-time control of distributed reacting systems. We briefly review some approaches to model order reduction we have successfully used in recent years, and illustrate their capabilities through (a) the design of an observer and stabilizing controller of a reaction-diffusion problem and (b) two-dimensional simulations of the transient behavior of a horizontal MOVPE reactor.

Original language	English (US)
Pages (from-to)	177-184
Number of pages	8
Journal	Journal of Process Control
Volume	10
Issue number	2
DOIs	https://doi.org/10.1016/S0959-1524(99)00029-3
State	Published - Apr 2000
Event	The 5th IFAC Symposium on the Dynamics and Control of Process Systems (DYCOPS-5) - Corfu, Greece Duration: Jun 8 1998 → Jun 10 1998

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Computer Science Applications
Industrial and Manufacturing Engineering

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10.1016/S0959-1524(99)00029-3

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title = "Order reduction for nonlinear dynamic models of distributed reacting systems",

abstract = "Detailed first-principles models of transport and reaction (based on partial differential equations) lead, after discretization, to dynamical systems of very high order. Systematic methodologies for model order reduction are vital in exploiting such fundamental models in the analysis, design and real-time control of distributed reacting systems. We briefly review some approaches to model order reduction we have successfully used in recent years, and illustrate their capabilities through (a) the design of an observer and stabilizing controller of a reaction-diffusion problem and (b) two-dimensional simulations of the transient behavior of a horizontal MOVPE reactor.",

author = "Shvartsman, {S. Y.} and C. Theodoropoulos and R. Rico-Mart{\'i}nez and Kevrekidis, {I. G.} and Titi, {E. S.} and Mountziaris, {T. J.}",

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AU - Shvartsman, S. Y.

AU - Theodoropoulos, C.

AU - Rico-Martínez, R.

AU - Kevrekidis, I. G.

AU - Titi, E. S.

AU - Mountziaris, T. J.

PY - 2000/4

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N2 - Detailed first-principles models of transport and reaction (based on partial differential equations) lead, after discretization, to dynamical systems of very high order. Systematic methodologies for model order reduction are vital in exploiting such fundamental models in the analysis, design and real-time control of distributed reacting systems. We briefly review some approaches to model order reduction we have successfully used in recent years, and illustrate their capabilities through (a) the design of an observer and stabilizing controller of a reaction-diffusion problem and (b) two-dimensional simulations of the transient behavior of a horizontal MOVPE reactor.

AB - Detailed first-principles models of transport and reaction (based on partial differential equations) lead, after discretization, to dynamical systems of very high order. Systematic methodologies for model order reduction are vital in exploiting such fundamental models in the analysis, design and real-time control of distributed reacting systems. We briefly review some approaches to model order reduction we have successfully used in recent years, and illustrate their capabilities through (a) the design of an observer and stabilizing controller of a reaction-diffusion problem and (b) two-dimensional simulations of the transient behavior of a horizontal MOVPE reactor.

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