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| An improved subspace method with time-varying system modal parameter identification based on control response data |
| Received:March 27, 2008 |
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| DOI：10.7511/jslx20102031 |
| KeyWord:time-varying system modal parameter identification subspace method state space |
| Author | Institution |
| 张强 |
武汉大学 动力与机械学院,武汉 |
| 吴庆鸣 |
武汉大学 动力与机械学院,武汉 |
| 张志强 |
武汉大学 动力与机械学院,武汉 |
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| Abstract: |
| A data-processing method concerning subspace identification is presented to improve the identification of time-varying system modal parameters from measured system control response data. Using system control response data, the identification procedure of this method includes the following steps. A state space output equation was first founded, and then a generalized Hankel matrix was constructed. After that, the state space system matrix of structure was identified by singular value decomposition (SVD) of the Hankel matrix. By replacing the output matrix with the estimation of generalized observability matrix and utilizing the orthogonality of the singular value matrix, the sensitivity to noise and computational complexity were abated effectively, making it easier to distinguish the equivalent system matrix. Finally, the time-varying system modal parameters were identified by conversion matrix. The practicability of the proposed method has been verified by theoretical analysis, simulation and experimental data. |
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