Title :
Empirical Hankel norm model reduction with application to a prototype nonlinear convective flow
Author :
Fernandez, T. ; Djouadi, S.M. ; Foster, J.
Author_Institution :
Univ. of Tennessee, Knoxville, TN, USA
fDate :
June 30 2010-July 2 2010
Abstract :
In this paper we develop and apply an empirical Hankel norm model reduction technique to a Galerkin model. The latter is obtained by projecting the governing equations of a nonlinear convective flow on its proper orthogonal decomposition basis. The nonlinear convective flow is chosen as a prototype problem and has the same nonlinearity as the Navier-Stokes equations which govern general fluid flows.
Keywords :
Galerkin method; Hankel matrices; Navier-Stokes equations; convection; flow control; reduced order systems; Galerkin model; Navier-Stokes equations; empirical Hankel norm model reduction; nonlinear convective flow; orthogonal decomposition basis; Computational modeling; Contracts; Control design; Control systems; Linear approximation; Navier-Stokes equations; Prototypes; Reduced order systems; Shape; State-space methods;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5531560
