DISPLACEMENT ESTIMATION OF NONLINEAR SDOF SYSTEM UNDER SEISMIC EXCITATION USING KALMAN FILTER FOR STATE-PARAMETER ESTIMATION
DISPLACEMENT ESTIMATION OF NONLINEAR SDOF SYSTEM UNDER SEISMIC EXCITATION USING KALMAN FILTER FOR STATE-PARAMETER ESTIMATION
复制标题
利用卡尔曼滤波器状态参数估计非线性单自由度系统在地震激励下的位移估计
DOI：
10.11532/jsceiii.1.1_1
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
D.
中科院分区：
文献类型：
--
作者：
Yang;Y.;NAGAYAMA;T.;SU;D.
提出了一种基于扩展卡尔曼滤波器（EKF）的地震激励下非线性单自由度系统位移估计方法。在该方法中，首先区分系统是否经历显着非线性的时间间隔。对于系统处于弹性相的时间段，EKF 可用的观测值有加速度、加速度二重积分获得的位移以及残余位移。在具有显着非线性的时间段内，采用加速度和虚拟位移测量作为观测值，并使用 EKF 中的增强状态向量来估计位移以及时变刚度。结果通过扩展卡尔曼平滑器 (EKS) 进一步平滑。该方法在具有双线性磁滞模型的单自由度系统上进行了详细研究，并在考虑各种磁滞模型和地震激励的情况下进行了进一步验证。估计的位移被证明是准确的。
An extended Kalman filter (EKF) based displacement estimation method for nonlinear SDOF systems under seismic excitation is proposed. In this method, time intervals where the system experiences significant nonlinearity or not are firstly distinguished. For a time period when the system is in an elastic phase, available observations for EKF are acceleration, displacement obtained via double integration of acceleration, and residual displacement. During a time period with significant nonlinearity, acceleration and virtual displacement measurement are employed as observations, and the displacement is estimated along with time-variant stiffness using an augmented state vector in EKF. The results are further smoothed by extended Kalman smoother (EKS). The proposed method is studied on an SDOF system with a bi-linear hysteresis model in detail and further verified considering various hysteresis models and earthquake excitations. The estimated displacements are shown to be accurate.