用于质量相关故障检测的高级偏最小二乘法研究

Guisheng Zhang, Qingyi Tu, Jian Xie
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引用次数: 0

摘要

近年来,工业流程中与质量有关的故障检测问题备受关注。偏最小二乘法(PLS)被认为是预测和监测的有效工具。修正偏最小二乘法(MPLS)是求解 PLS 斜分解的一种扩展算法,但研究表明,在 MPLS 算法的分解过程中,质量变量信息的丢失可能会影响质量信息的预测。此外,传统统计和静态控制限值的检测率较低,现有的动态控制限值也存在一定的局限性。因此,我们提出了一种新的 PLS 空间分解算法,即高级偏最小二乘法(APLS)。APLS 根据过程变量与质量的关系对过程变量进行正交分解,避免了质量信息的丢失。当过程变量包含更多噪声时,APLS 能更准确地预测质量;通过在过程变量主成分子空间中使用新的统计量和阈值,并结合局部信息增量技术,降低了与质量相关的故障误报率(FAR)。最后,通过一个数值示例和一个工业基准问题验证了所提方法的有效性。
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Study on advanced partial least squares for quality-related fault detection
The issue of quality-related fault detection in the industrial process has attracted much attention in recent years. The partial least squares (PLS) is considered an efficient tool for predicting and monitoring. The modified partial least squares (MPLS) is an extended algorithm for solving the oblique decomposition of PLS, however, the study indicated that the loss of quality variable information may affect the prediction of quality information in the decomposition process of the MPLS algorithm. Furthermore, the detection rate of traditional statistics and static control limit is low, and the existing dynamic control limit has certain limitations. Therefore, a new PLS space-decomposition algorithm called advanced partial least squares (APLS) is proposed. APLS avoids the loss of quality information by orthogonal decomposition of process variables according to their relationship with quality. APLS has a more accurate prediction of quality when process variables contain more noise; the fault false alarm rates (FAR) of quality-related faults are reduced by using the new statistics and thresholds combined with local information increment technology in the process variable principal component subspace. Finally, the effectiveness of the proposed approach is verified by a numerical example and an industrial benchmark problem.
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