A proper orthogonal decomposition approach to approximate balanced truncation of infinite dimensional linear systems

Authors: Singler, John¹; Batten, Belinda²

Source: International Journal of Computer Mathematics, Volume 86, Number 2, February 2009 , pp. 355-371(17)

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Abstract:

We extend a method for approximate balanced reduced order model derivation for finite dimensional linear systems developed by Rowley (Int. J. Bifur. Chaos Appl. Sci. Eng. 15(3) (2005), pp. 997-1013) to infinite dimensional systems. The algorithm is related to standard balanced truncation, but includes aspects of the proper orthogonal decomposition in its computational approach. The method can be also applied to nonlinear systems. Numerical results are presented for a convection diffusion system.

Keywords: balanced truncation; proper orthogonal decomposition; infinite dimensional systems

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207160802331887

Affiliations: 1: Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO, USA 2: School of Mechanical, Industrial and Manufacturing Engineering, Oregon State University, Corvallis, OR, USA

Publication date: 2009-02-01

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