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Empirical Model Reduction of Controlled Nonlinear Systems

Lall, Sanjay and Marsden, Jerrold E. and Glavaški, Sonja (1999) Empirical Model Reduction of Controlled Nonlinear Systems. In: Proceedings of the IFAC World Congress. International Federation of Automatic Control , New York, pp. 473-478. ISBN 0080432476 (set) http://resolver.caltech.edu/CaltechAUTHORS:20101007-154754737

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Abstract

In this paper we introduce a new method of model reduction for nonlinear systems with inputs and outputs. The method requires only standard matrix computations, and when applied to linear systems results in the usual balanced truncation. For nonlinear systems, the method makes used of the Karhunen-Lo`eve decomposition of the state-space, and is an extension of the method of empirical eigenfunctions used in fluid dynamics. We show that the new method is equivalent to balanced-truncation in the linear case, and perform an example reduction for a nonlinear mechanical system.


Item Type:Book Section
Subject Keywords:Karhunen-Loève decomposition, balanced truncation, model reduction, principal component analysis, total least-squares, Hankel norm
Record Number:CaltechAUTHORS:20101007-154754737
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20101007-154754737
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20343
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:23 Nov 2010 00:10
Last Modified:26 Dec 2012 12:30

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