TY - JOUR
T1 - Order reduction for nonlinear dynamic models of distributed reacting systems
AU - Shvartsman, S. Y.
AU - Theodoropoulos, C.
AU - Rico-Martínez, R.
AU - Kevrekidis, I. G.
AU - Titi, E. S.
AU - Mountziaris, T. J.
N1 - Funding Information:
This work was partially supported by NSF (SYS, EST, IGK), ARPA/ONR and UTRC (SYS, IGK). One of the authors (RRM) was supported by an Alexander von Humboldt Foundation Fellowship, and wishes to thank Professor Dr. G. Ertl and the FHI in Berlin for their hospitality. During this work EST was the Orson Anderson Scholar at the Institute of Geophysics and Planetary Physics (IGPP) at the Los Alamos National Laboratory. The work of TJM and CT has been supported by the National Science Foundation (CTS-9622204) and by the Pittsburgh Supercomputing Center.
PY - 2000/4
Y1 - 2000/4
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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U2 - 10.1016/S0959-1524(99)00029-3
DO - 10.1016/S0959-1524(99)00029-3
M3 - Conference article
AN - SCOPUS:0033903648
VL - 10
SP - 177
EP - 184
JO - Journal of Process Control
JF - Journal of Process Control
SN - 0959-1524
IS - 2
T2 - The 5th IFAC Symposium on the Dynamics and Control of Process Systems (DYCOPS-5)
Y2 - 8 June 1998 through 10 June 1998
ER -