Multimode process monitoring with Bayesian inference-based finite Gaussian mixture models


  • Jie Yu,

    Corresponding author
    1. Dept. of Chemical Engineering, The University of Texas at Austin, Austin, TX 78712
    Current affiliation:
    1. Shell Global Solutions (US) Inc., Houston, TX 77082
    • Shell Global Solutions (US) Inc., Houston, TX 77082
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  • S. Joe Qin

    1. The Mork Family Dept. of Chemical Engineering and Materials Science, Ming Hsieh Dept. of Electrical Engineering, and Daniel J. Epstein Dept. of Industrial and Systems Engineering, University of Southern California, Los Angeles, CA 90089
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For complex industrial processes with multiple operating conditions, the traditional multivariate process monitoring techniques such as principal component analysis (PCA) and partial least squares (PLS) are ill-suited because the fundamental assumption that the operating data follow a unimodal Gaussian distribution usually becomes invalid. In this article, a novel multimode process monitoring approach based on finite Gaussian mixture model (FGMM) and Bayesian inference strategy is proposed. First, the process data are assumed to be from a number of different clusters, each of which corresponds to an operating mode and can be characterized by a Gaussian component. In the absence of a priori process knowledge, the Figueiredo–Jain (F–J) algorithm is then adopted to automatically optimize the number of Gaussian components and estimate their statistical distribution parameters. With the obtained FGMM, a Bayesian inference strategy is further utilized to compute the posterior probabilities of each monitored sample belonging to the multiple components and derive an integrated global probabilistic index for fault detection of multimode processes. The validity and effectiveness of the proposed monitoring approach are illustrated through three examples: (1) a simple multivariate linear system, (2) a simulated continuous stirred tank heater (CSTH) process, and (3) the Tennessee Eastman challenge problem. The comparison of monitoring results demonstrates that the proposed approach is superior to the conventional PCA method and can achieve accurate and early detection of various types of faults in multimode processes. © 2008 American Institute of Chemical Engineers AIChE J, 2008