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 journalConference article

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 languageEnglish (US)
Pages (from-to)177-184
Number of pages8
JournalJournal of Process Control
Volume10
Issue number2
DOIs
StatePublished - Apr 2000
EventThe 5th IFAC Symposium on the Dynamics and Control of Process Systems (DYCOPS-5) - Corfu, Greece
Duration: Jun 8 1998Jun 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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    Shvartsman, S. Y., Theodoropoulos, C., Rico-Martínez, R., Kevrekidis, I. G., Titi, E. S., & Mountziaris, T. J. (2000). Order reduction for nonlinear dynamic models of distributed reacting systems. Journal of Process Control, 10(2), 177-184. https://doi.org/10.1016/S0959-1524(99)00029-3