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An eigensystem realization algorithm for modal parameter identification and model reduction
Abstract
A method, called the Eigensystem Realization Algorithm (ERA), is developed for modal parameter identification and model reduction of dynamic systems from test data. A new approach is introduced in conjunction with the singular value decomposition technique to derive the basic formulation of minimum order realization which is an extended version of the Ho-Kalman algorithm. The basic formulation is then transformed into modal space for modal parameter identification. Two accuracy indicators are developed to quantitatively identify the system modes and noise modes. For illustration of the algorithm, examples are shown using simulation data and experimental data for a rectangular grid structure.
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Cites
Singular value decomposition and least squares solutions
Golub, G. H., & Reinsch, C. (1970) · Numerische Mathematik · doi:10.1007/bf02163027 · Cited by 2,929
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Rasheed, A., San, O., & Kvamsdal, T. (2020) · IEEE Access · doi:10.1109/access.2020.2970143 · Cited by 1,952
Discovery of nonlinear multiscale systems: Sampling strategies and embeddings
Champion, K. P., Brunton, S. L., & Kutz, J. N. (2019) · SIAM Journal on Applied Dynamical Systems · doi:10.1137/18m1188227 · Cited by 171
Sparse identification of nonlinear dynamics for rapid model recovery
Quade, M., Abel, M., Nathan Kutz, J., & Brunton, S. L. (2018) · Chaos: An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.5027470 · Cited by 163
Signal decomposition and reconstruction using complex exponential models
James Hu, S.-L., Yang, W.-L., & Li, H.-J. (2013) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2013.06.037 · Cited by 94
Digital Twin: Values, Challenges and Enablers
Rasheed, A., San, O., & Kvamsdal, T. (2019) · arXiv · doi:10.48550/arxiv.1910.01719 · Cited by 81
Metadata
- Authors
- Juang, J.-N., & Pappa, R. S.
- Venue
- Journal of Guidance, Control, and Dynamics
- Published
- 1985-09
- Volume
- 8
- Issue
- 5
- Pages
- 620-627
- ISSN
- 0731-5090 (ISSN-L)
- 1533-3884
- OpenAlex
- W2168090960
- Cited by
- 2,762
- References
- 1
- FWCI
- 99.81
- Type
- journal article
- Language
- en
- Open access
- closed
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- Juang, J.-N., & Pappa, R. S. (1985). An eigensystem realization algorithm for modal parameter identification and model reduction. Journal of Guidance, Control, and Dynamics. https://doi.org/10.2514/3.20031
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
