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A subspace approach to balanced truncation for model reduction of nonlinear control systems
Abstract
In this paper, we introduce a new method of model reduction for nonlinear control systems. Our approach is to construct an approximately balanced realization. The method requires only standard matrix computations, and we show that when it is applied to linear systems it results in the usual balanced truncation. For nonlinear systems, the method makes use of data from either simulation or experiment to identify the dynamics relevant to the input–output map of the system. An important feature of this approach is that the resulting reduced‐order model is nonlinear, and has inputs and outputs suitable for control. We perform an example reduction for a nonlinear mechanical system. Copyright © 2002 John Wiley & Sons, Ltd.
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Cites
Golub, G. (2012) · doi:10.56021/9781421407944 · Cited by 34,505
Subspace-based signal analysis using singular value decomposition
Van Der Veen, A.-J., Deprettere, E. F., & Swindlehurst, A. L. (1993) · Proceedings of the IEEE · doi:10.1109/5.237536 · Cited by 348
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Interpolation Method for Adapting Reduced-Order Models and Application to Aeroelasticity
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Closed-Loop Turbulence Control: Progress and Challenges
Brunton, S. L., & Noack, B. R. (2015) · Applied Mechanics Reviews · doi:10.1115/1.4031175 · Cited by 623
A priori hyperreduction method: an adaptive approach
Ryckelynck, D. (2005) · Journal of Computational Physics · doi:10.1016/j.jcp.2004.07.015 · Cited by 396
Yondo, R., Andrés, E., & Valero, E. (2018) · Progress in Aerospace Sciences · doi:10.1016/j.paerosci.2017.11.003 · Cited by 311
Metadata
- Authors
- Lall, S., Marsden, J. E., & Glavaški, S.
- Venue
- International Journal of Robust and Nonlinear Control
- Publisher
- Wiley
- Published
- 2002-02-18
- Volume
- 12
- Issue
- 6
- Pages
- 519-535
- ISSN
- 1049-8923 (ISSN-L)
- 1099-1239
- OpenAlex
- W1988376519
- Cited by
- 532
- References
- 2
- FWCI
- 35.75
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lall, S., Marsden, J. E., & Glavaški, S. (2002). A subspace approach to balanced truncation for model reduction of nonlinear control systems. International Journal of Robust and Nonlinear Control. https://doi.org/10.1002/rnc.657
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