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Integrated projection and regression models for monitoring multivariate autocorrelated cascade processes

机译:集成的投影和回归模型,用于监视多元自相关级联过程

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摘要

This dissertation presents a comprehensive methodology of dual monitoring for the multivariate autocorrelated cascade processes using principal component analysis and regression. Principle Components Analysis is used to alleviate the multicollinearity among input process variables and reduce the dimension of the variables. An integrated principal components selection rule is proposed to reduce the number of input variables. An autoregressive time series model is used and imposed on the time correlated output variable which depends on many multicorrelated process input variables. A generalized least squares principal component regression is used to describe the relationship between product and process variables under the autoregressive regression error model. The combined residual based EWMA control chart, applied to the product characteristics, and the MEWMA control charts applied to the multivariate autocorrelated cascade process characteristics, are proposed.;The dual EWMA and MEWMA control chart has advantage and capability over the conventional residual type control chart applied to the residuals of the principal component regression by monitoring both product and the process characteristics simultaneously. The EWMA control chart is used to increase the detection performance, especially in the case of small mean shifts. The MEWMA is applied to the selected set of variables from the first principal component with the aim of increasing the sensitivity in detecting process failures. The dual implementation control chart for product and process characteristics enhances both the detection and the prediction performance of the monitoring system of the multivariate autocorrelated cascade processes. The proposed methodology is demonstrated through an example of the sugar-beet pulp drying process. A general guideline for controlling multivariate autocorrelated processes is also developed.
机译:本文运用主成分分析和回归方法,提出了一种对多元自相关级联过程进行双重监测的综合方法。主成分分析用于缓解输入过程变量之间的多重共线性,并减小变量的维数。提出了一种集成的主成分选择规则,以减少输入变量的数量。使用自回归时间序列模型,并将其强加于时间相关的输出变量,该时间相关的输出变量取决于许多多相关的过程输入变量。广义最小二乘主成分回归用于描述自回归回归误差模型下产品与过程变量之间的关系。提出了基于残差的组合EWMA控制图,应用于产品特性,以及针对多元自相关级联过程特性的MEWMA控制图。EWMA和MEWMA双重控制图具有优于常规残差类型控制图的优势和能力。通过同时监视产品和过程特征,将其应用于主成分回归的残差。 EWMA控制图用于提高检测性能,尤其是在平均漂移较小的情况下。 MEWMA应用于从第一主成分中选择的一组变量,目的是提高检测过程故障的敏感性。产品和过程特征的双重实现控制图增强了多元自相关级联过程的监视系统的检测性能和预测性能。通过甜菜果肉纸浆干燥过程的实例证明了所提出的方法。还制定了控制多元自相关过程的通用指南。

著录项

  • 作者

    Khan, Anakaorn.;

  • 作者单位

    North Dakota State University.;

  • 授予单位 North Dakota State University.;
  • 学科 Industrial engineering.;Applied mathematics.;Engineering.
  • 学位 Ph.D.
  • 年度 2014
  • 页码 130 p.
  • 总页数 130
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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