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.

authors

• Titi, Edriss

published proceedings

• JOURNAL OF PROCESS CONTROL

author list (cited authors)

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

citation count

• 71

complete list of authors

• Shvartsman, SY||Theodoropoulos, C||Rico-Martinez, R||Kevrekidis, IG||Titi, ES||Mountziaris, TJ

publication date

• April 2000

publisher

• Elsevier  Publisher

published in

• Journal of Process Control  Journal

keywords

• Control
• DISTRIBUTED SYSTEMS
• Estimation
• MODEL REDUCTION
• Movpe
• Proper Orthogonal Decomposition

Digital Object Identifier (DOI)

• 10.1016/S0959-1524(99)00029-3

start page

• 177

end page

• 184

volume

• 10

issue

• 2-3

URL

• http://dx.doi.org/10.1016/s0959-1524(99)00029-3