Concurrent quality and process monitoring with canonical correlation analysis

Qinqin ZHU, Qiang LIU, S. Joe QIN*

*Corresponding author for this work

Research output: Journal PublicationsJournal Article (refereed)peer-review

89 Citations (Scopus)


Canonical correlation analysis (CCA) is a well-known data analysis technique that extracts multidimensional correlation structure between two sets of variables. CCA focuses on maximizing the correlation between quality and process data, which leads to the efficient use of latent dimensions. However, CCA does not focus on exploiting the variance or the magnitude of variations in the data, making it rarely used for quality and process monitoring. In addition, it suffers from collinearity problems that often exist in the process data. To overcome this shortcoming of CCA, a modified CCA method with regularization is developed to extract correlation between process variables and quality variables. Next, to handle the issue that CCA focuses only on correlation but ignores variance information, a new concurrent CCA (CCCA) modeling method with regularization is proposed to exploit the variance and covariance in the process-specific and quality-specific spaces. The CCCA method retains the CCA's efficiency in predicting the quality while exploiting the variance structure for quality and process monitoring using subsequent principal component decompositions. The corresponding monitoring statistics and control limits are then developed in the decomposed subspaces. Numerical simulation examples and the Tennessee Eastman process are used to demonstrate the effectiveness of the CCCA-based monitoring method.
Original languageEnglish
Pages (from-to)95-103
Number of pages9
JournalJournal of Process Control
Early online date23 Jul 2017
Publication statusPublished - Dec 2017
Externally publishedYes

Bibliographical note

Financial support to this research was provided by the Natural Science Foundation of China (61304107, 61490704, 61573022, 61673097), the Fundamental Research Program of the Shenzhen Committee on Science and Innovations (Ji20160207), the Texas-Wisconsin-California Control Consortium, the International Postdoctoral Exchange Fellowship Program (20130020), the China Postdoctoral Science Foundation (2013M541242), and the Fundamental Research Funds for the Central Universities (N130108001).


  • Concurrent canonical correlation analysis
  • Canonical correlation analysis
  • Quality-relevant monitoring
  • Process monitoring


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