张纯, 陈林, 宋固全, 田福志. 基于l1正则化无迹卡尔曼滤波的结构损伤方法[J]. 工程力学, 2017, 34(8): 76-84. DOI: 10.6052/j.issn.1000-4750.2016.03.0156
引用本文: 张纯, 陈林, 宋固全, 田福志. 基于l1正则化无迹卡尔曼滤波的结构损伤方法[J]. 工程力学, 2017, 34(8): 76-84. DOI: 10.6052/j.issn.1000-4750.2016.03.0156
ZHANG Chun, CHEN Lin, SONG Gu-quan, TIAN Fu-zhi. STRUCTURAL DAMAGE IDENTIFICATION BY UNSCENTED KALMAN FILTER WITH l1 REGULARIZATION[J]. Engineering Mechanics, 2017, 34(8): 76-84. DOI: 10.6052/j.issn.1000-4750.2016.03.0156
Citation: ZHANG Chun, CHEN Lin, SONG Gu-quan, TIAN Fu-zhi. STRUCTURAL DAMAGE IDENTIFICATION BY UNSCENTED KALMAN FILTER WITH l1 REGULARIZATION[J]. Engineering Mechanics, 2017, 34(8): 76-84. DOI: 10.6052/j.issn.1000-4750.2016.03.0156

基于l1正则化无迹卡尔曼滤波的结构损伤方法

STRUCTURAL DAMAGE IDENTIFICATION BY UNSCENTED KALMAN FILTER WITH l1 REGULARIZATION

  • 摘要: 采用传统卡尔曼滤波类算法对结构进行损伤识别时,损伤识别反问题的不适定性使得识别结果易受噪声干扰,甚至算法不收敛。为此,该文提出了一种结合l1范数正则化的无迹卡尔曼滤波损伤识别算法。根据结构出现局部损伤时其损伤参数分布具有稀疏性的特点,通过伪测量方法,将l1范数正则化引入到无迹卡尔曼滤波框架中,在改善反问题求解不适定性的同时,能有效地提高结构局部损伤识别能力。梁、桁架结构的数值分析与实验研究表明,该文方法可以对损伤的位置与程度进行准确识别,且具有良好的鲁棒性。

     

    Abstract: Due to the ill-posedness of inverse problems, the damage identification results of the traditional Kalman filter algorithm are easily influenced by measurement noise, and the identification algorithm may diverge. An Unscented Kalman Filter (UKF) combined with l1 regularization is proposed to identify structural damage. Because local structural damage leads to sparse distribution of damage parameters, the l1 regularization is combined with UKF through pseudo-measurement method to improve the ill-posedness of damage identification problems and to obtain more precise identification results. The numerical analysis and experimental study on beams and trusses show that the proposed algorithm has excellent robustness and can identify the damage location and extents accurately.

     

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