用状态空间高斯过程同时识别并去除结构健康监测中的未测环境噪声。
Latent variable models for simultaneous EOV identification and removal in population-based SHM

- 将未知环境扰动建模为具有长时相关性的状态空间高斯过程。
- 在单个试验结构上实现精准损伤检测与环境变化恢复,真阳性率显著提升。
- 适合处理无直接测量的环境变量,尤其适用于风电场等大型分布式系统。
在基于群体的结构健康监测(PBSHM)中,如何稳健处理环境与运行变量(EOV)仍是开放挑战,尤其当这些信号无法直接测量时。传统方法采用投影技术剔除健康特征数据中的主成分,但若损伤发生在与EOV相似的方差主导方向上,会连同损伤信号一并消除。本文提出一种新思路:利用未测EOV的缓慢变化特性,将其建模为状态空间高斯过程,通过卡尔曼滤波实现$/mathcal{O}(T)$的可计算推断。构建了鲁棒的分层贝叶斯框架,结合拉普拉斯近似,实现群体层面的潜变量EOV识别与无EOV残差特征提取。首先在文献中的单个实验室结构(受热力影响)上验证,能有效检测损伤并重建环境信号;随后应用于模拟的九台风力涡轮机海上风电场,部署时间错位且存在损伤,在相同误报率下相比投影法与共整合基准方法,真阳性率大幅提升。
原文摘要 · Abstract (English)
The robust treatment of environmental and operational variability (EOV) is an open challenge in population-based structural health monitoring (PBSHM). The difficulty is compounded in the case that the EOV signals are unmeasured. A common approach in conventional SHM is to apply \emph{projection-based} methods that discard subspaces of healthy feature data, reasoning that the EOV signal dominates the variance of the measured features. However, a common pitfall of projection-based approaches is that when damage acts close to the same variance-dominant direction, damage sensitivity is removed along with the EOV. An alternative identifying assumption for the removal of particular unmeasured EOVs is slowness; the latent EOV process is characterised by its long temporal correlation. In this paper, the latent EOV is cast as a state-space Gaussian process, enabling tractable $\mathcal{O}(T)$ inference via a Kalman filter. A robust hierarchical Bayesian identification framework is developed that enables population-level identification of latent EOVs and EOV-free residual features, using a Laplace approximation. The approach is first validated on a single laboratory-scale benchmark structure from the literature, subject to thermal EOVs, demonstrating robust damage detection and EOV recovery. The method is then applied to a simulated nine-turbine offshore wind farm with staggered deployment and damage, where it delivers a substantial true-positive uplift over projection and cointegration-based baselines at matched false-positive rates.
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