Time-varying structural parametric identification with MSTSRUKF

YANG Jipeng1, XIA Ye1, YAN Yexiang1, SUN Limin1,2

Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (23) : 74-82.

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PDF(2303 KB)
Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (23) : 74-82.

Time-varying structural parametric identification with MSTSRUKF

  • YANG Jipeng1, XIA Ye1, YAN Yexiang1, SUN Limin1,2
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Abstract

Time-varying structural parameter identification under earthquake is always concerned by researchers. Traditional extended Kalman filter (EKF) and unscented Kalman filter (UKF) have some problems, such as weak tracking ability of time-varying structural parameter, numerical instability when the square root matrix of covariance matrix was calculated due to matrix singularity. Based on the stand square root unscented Kalman filter (SRUKF), a modified strong tracing square root unscented Kalman filter (MSTSRUKF) was proposed. Firstly, the decomposition method of the square root matrix in SRUKF was improved, and QR decomposition method was used to make the calculation process unconditional numerical stability. Secondly, the calculation method of square root matrix in filtering update was improved to ensure the stability of the algorithm. At the same time, the equivalent form of observation matrix was introduced to avoid solving Jacobian matrix. Finally, strong tracking filter technique was introduced to update the time prediction covariance matrix, so that the proposed algorithm has the ability to trace time-varying parameters. Numerical analysis results demonstrated the proposed MSTSRUKF algorithm can effectively identify the mutation parameters of linear and nonlinear systems, and accurately predict the structural state. The proposed method also has strong noise resistance.

Key words

 seismic / square root unscented Kalman filter(SRUKF) / QR decomposition / time-varying parameter identification

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YANG Jipeng1, XIA Ye1, YAN Yexiang1, SUN Limin1,2. Time-varying structural parametric identification with MSTSRUKF[J]. Journal of Vibration and Shock, 2021, 40(23): 74-82

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