1. Integrating automatic order determination with response prediction error minimization for nonlinear subspace identification in structural dynamics.
- Author
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Jiang, Dong, Li, Ang, Wang, Yusheng, Xie, Shitao, Cao, Zhifu, and Zhu, Rui
- Abstract
The singular value decomposition order determination method used in nonlinear subspace identification may encounter challenges due to the noise in signals, resulting in the omission of modes or the occurrence of spurious mode. Additionally, the lack of an iterative process in the nonlinear subspace identification, which primarily relies on matrix operations, will lead to suboptimal solutions. To address these challenges, an improved framework for nonlinear subspaces identification is proposed in this paper. False modes are eliminated through data preprocessing and modal stability criteria, followed by the clustering of stable modes using the Density-Based Spatial Clustering of Applications with Noise algorithm for automatic order determination; Simultaneously, an iterative optimization approach based on response prediction error minimization is introduced to enhance the accuracy of the state-space model estimation results. The effectiveness of proposed method is validated through two simulation cases and one experimental verification. The results show that the clustering algorithm effectively distinguishes real modes from false ones and achieves automatic system order determination across various SNR conditions. The iterative optimization process notably enhances state-space model estimation accuracy. Compared to original nonlinear subspace identification, proposed method significantly improves identification accuracy. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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