一种基于低秩分解与共同趋势解耦的故障检测方法及系统

By employing low-rank decomposition and common trend decoupling, the problem of separating industrial process data under the coexistence of noise interference and non-stationarity was solved, achieving effective decoupling of non-stationary trends and stationary features, and improving the accuracy and robustness of fault detection.

CN122087455BActive Publication Date: 2026-07-17CENT SOUTH UNIV

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
CENT SOUTH UNIV
Filing Date
2026-04-21
Publication Date
2026-07-17

AI Technical Summary

Technical Problem

Existing technologies struggle to effectively separate non-stationary common trends, stationary characteristics, and noise information in industrial process data when noise interference and non-stationarity coexist, leading to a decrease in fault detection accuracy.

Method used

We employ a method of low-rank decomposition and common trend decoupling. By performing low-rank decomposition on historical process data, we decompose it into clean data and sparse noisy data, construct a common trend learning model, apply stationarity constraints, decouple non-stationary common trends from stationary features, and obtain a fault detection model through joint optimization.

Benefits of technology

It improves the accuracy of fault detection under noise interference and non-stationary environments, enhances the robustness and applicability of the model, and can more accurately extract the time-invariant dependencies and fault characteristics between variables.

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Abstract

本发明提供一种基于低秩分解与共同趋势解耦的故障检测方法及系统,本方法首先获取工业过程正常工况下的历史过程数据作为训练数据,并通过低秩分解将训练数据分解为表征主要结构信息的干净数据和表征噪声干扰的稀疏噪声数据;然后基于干净数据构建共同趋势学习模型,重构其中的非平稳共同趋势,并将干净数据与非平稳共同趋势之间的残差作为平稳特征,通过施加平稳性约束实现二者解耦;进一步通过联合优化获得故障检测模型;在检测阶段,将待检测过程数据输入所述模型,分别构建基于平稳特征和共同趋势重构误差的监测统计量,并依据控制限比较结果判定是否发生故障,从而提高非平稳工业过程故障检测的鲁棒性。
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