@article{39486, keywords = {feedback, co oxidation, approximate inertial manifolds, finite-dimensional control, navier-stokes equations, diffusion-systems, galerkin methods, karhunen-loeve decomposition, parameter-systems, pole assignment}, author = {Shvartsman and Kevrekidis}, title = {Nonlinear model reduction for control of distributed systems: a computer-assisted study}, abstract = { Model reduction methodologies for the partial differential equations modeling distributed parameter systems constitute an important first step in controller design. A systematic computer-assisted study illustrating the use of two such methodologies (Approximate Inertial Manifolds and the Karhunen-Loeve expansion) in controlling (stabilizing) a nonlinear reaction-diffusion problem is presented. The approximation quality of the models, issues of computational implementation of the reduction procedure, as well as issues of closed-loop stability are addressed. }, year = {1998}, journal = {Aiche JournalAiche Journal}, volume = {44}, pages = {1579-1595}, month = {07/1998}, isbn = {0001-1541}, language = {English}, }