基于稀疏约束的最小方差无偏自适应荷载估计

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (9) : 158-165.

论文

李东升1,魏达2

作者信息 +

Minimum variance unbiased adaptive load estimation based on sparse constraints

LI Dongsheng1, WEI Da2

Author information +

文章历史 +

摘要

本文提出了一种基于稀疏约束的最小方差无偏自适应荷载估计算法，该算法是对传统的最小方差无偏估计算法的改进。利用大部分结构荷载在空间稀疏的特点，通过PM技术对荷载向量施加了一个稀疏约束，最终无约束的最小二乘估计转换为了基于l1范数的稀疏约束，在这样的改进下，传统算法在加速度观测下的荷载漂移问题被有效的解决，同时提高了算法荷载估计的鲁棒性。此外，对于噪声估计传统做法都是通过经验进行手动设置，在工程应用中极大不便。基于此，我们引入了自适应估计算法，实现了测量噪声协方差自适应估计。最后，通过1个10自由度弹簧阻尼系统和一个3层框架实验结构验证了算法的有效性。

Abstract

This paper presents an improved algorithm for load estimation based on sparse constraints, an improvement of the traditional minimum variance unbiased load estimation algorithm. The improvement is achieved by applying a sparse constraint on the force vector with the PM technique utilizing the space-sparse characteristic of the force to be estimated. This constraint transforms the unconstrained optimization of force estimation into a constrained optimization based on the l1-norm, effectively solving the force drift problem and improving the robustness of force estimation. Moreover, an adaptive estimation algorithm is introduced to realize the adaptive estimation of measurement noise covariance, as the conventional approach of manually setting the noise covariance is inconvenient in engineering applications. The performance of the proposed algorithm is evaluated through numerical simulations and experiments on a three-story shear building。

导出引用

李东升1,魏达2. 基于稀疏约束的最小方差无偏自适应荷载估计[J]. 振动与冲击, 2024, 43(9): 158-165

LI Dongsheng1, WEI Da2. Minimum variance unbiased adaptive load estimation based on sparse constraints[J]. Journal of Vibration and Shock, 2024, 43(9): 158-165

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