Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
Weighted Balanced Realization and Model Reduction for Nonlinear Systems
Daisuke TSUBAKINOKenji FUJIMOTO
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Volume 44 (2008) Issue 1 Pages 44-51

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Abstract

This paper proposes a weighted balanced realization and model order reduction for nonlinear systems. This is an extension of a nonlinear balanced realization, which is based on singular value analysis of the nonlinear Hankel operator, to include input and output weights. The proposed method is a natural nonlinear extension of weighted balanced realization for linear systems. Furthermore, it is proved that a reduced order model derived by the proposed procedure is also stable if the original model is so. Finally, the effectiveness of the method is shown by a numerical simulation.

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