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Multivariate statistical process monitoring using classical multidimensional scaling

机译:使用经典多维尺度的多变量统计过程监控

摘要

A new Multivariate Statistical Process Monitoring (MSPM) system, which comprises of three main frameworks, is proposed where the system utilizes Classical Multidimensional Scaling (CMDS) as the main multivariate data compression technique instead of using the linearbased Principal Component Analysis (PCA). The conventional method which usually applies variance-covariance or correlation measure in developing the multivariate scores is found to be inappropriately used especially in modelling nonlinear processes, where a high number of principal components will be typically required. Alternatively, the proposed method utilizes the inter-dissimilarity scales in describing the relationships among the monitored variables instead of variance-covariance measure for the multivariate scores development. However, the scores are plotted in terms of variable structure, thus providing different formulation of statistics for monitoring. Nonetheless, the proposed statistics still correspond to the conceptual objective of Hotelling’s T2 and Squared Prediction Errors (SPE). The first framework corresponds to the original CMDS framework, whereas the second utilizes Procrustes Analysis (PA) functions which is analogous to the concept of loading factors in PCA for score projection. Lastly, the final framework employs dynamic mechanism of PA functions as an alternative for enhancing the procedures of the second approach. A simulated system of Continuous Stirred Tank Reactor with Recycle (CSTRwR) has been chosen for the demonstration and the fault detection results were comparatively analyzed to the outcomes of PCA on the grounds of false alarm rates, total number of detected cases and also total number of fastest detection cases. The last two performance factors are obtained through fault detection time. The overall outcomes show that the three CMDS-based systems give almost comparable performances to the linear PCA based monitoring systemwhen dealing the abrupt fault events, whereas the new systems have demonstrated significant improvement over the conventional method in detecting incipient fault cases. More importantly, this monitoring accomplishment can be efficiently executed based on lower compressed dimensional space compared to the PCA technique, thus providing much simpler solution. All of these evidences verified that the proposed approaches are successfully developed conceptually as well as practically for monitoring while complying fundamentally with the principles and technical steps of the conventional MSPM system.
机译:提出了一个新的多元统计过程监控(MSPM)系统,该系统包括三个主要框架,该系统利用经典多维标度(CMDS)作为主要多元数据压缩技术,而不是使用基于线性的主成分分析(PCA)。发现通常在开发多元得分中应用方差-协方差或相关性度量的常规方法被不适当地使用,尤其是在建模非线性过程时,其中通常需要大量的主成分。可替代地,所提出的方法利用相异量表来描述所监测的变量之间的关系,而不是使用方差-协方差量度来进行多元评分的发展。但是,分数是根据变量结构绘制的,因此可以提供不同的统计公式来进行监控。尽管如此,建议的统计数据仍然符合Hotelling的T2和平方预测误差(SPE)的概念目标。第一个框架与原始CMDS框架相对应,而第二个框架则使用Procrustes Analysis(PA)功能,该功能类似于PCA中的加载因子以进行分数预测的概念。最后,最终框架采用了PA功能的动态机制作为增强第二种方法的过程的替代方法。选择了带有循环的连续搅拌釜反应器(CSTRwR)的模拟系统进行演示,并基于误报率,检测到的案例总数以及故障总数,对故障检测结果与PCA的结果进行了比较分析。最快的检测案例。通过故障检测时间可以获得最后两个性能因素。总体结果表明,在处理突发故障事件时,这三种基于CMDS的系统与基于线性PCA的监视系统几乎具有可比的性能,而新系统已证明在检测早期故障情况方面比传统方法有了显着改进。更重要的是,与PCA技术相比,可以基于较低的压缩尺寸空间有效地执行此监视完成,因此提供了更为简单的解决方案。所有这些证据证明,所提出的方法在概念上和实践上都已成功开发,并且在监视方面基本从根本上遵守了常规MSPM系统的原理和技术步骤。

著录项

  • 作者

    Mohd Yunus Mohd Yusri;

  • 作者单位
  • 年度 2012
  • 总页数
  • 原文格式 PDF
  • 正文语种 English
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