A novel multimode process monitoring method integrating LDRSKM with Bayesian inference*

Ren Shi-jin; Liang Yin; Zhao Xiang-jun; Yang Mao-yun

doi:10.1631/FITEE.1400263

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A novel multimode process monitoring method integrating LDRSKM with Bayesian inference*

Computer & Automation | Updated：2022-06-14

- A novel multimode process monitoring method integrating LDRSKM with Bayesian inference*
- 一种融合贝叶斯推理与LDRSKM的多模态过程监测算法
- Frontiers of Information Technology & Electronic Engineering Vol. 16, Issue 8, Pages: 617-633(2015)
- Affiliations：
  
  1.National Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou 310027, China
  2.School of Computer Science & Technology, Jiangsu Normal University, Xuzhou 221116, China
- Author bio：
  
  †E-mail:sjren_phd@163.com
- Funds：
- DOI：10.1631/FITEE.1400263
  CLC：
- Received：20 July 2014，
  
  Revised：2015-07-08，
  
  Accepted：03 May 2015，
  
  Published：2015-08
- Accepted：
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Ren Shi-jin, Liang Yin, Zhao Xiang-jun, et al. A novel multimode process monitoring method integrating LDRSKM with Bayesian inference*[J]. Frontiers of Information Technology & Electronic Engineering, 2015, 16(8): 617-633.
DOI：

Ren Shi-jin, Liang Yin, Zhao Xiang-jun, et al. A novel multimode process monitoring method integrating LDRSKM with Bayesian inference*[J]. Frontiers of Information Technology & Electronic Engineering, 2015, 16(8): 617-633. DOI： 10.1631/FITEE.1400263.

摘要

目的

针对复杂多模态工业过程故障监测存在的问题，充分利用过程数据的局部和非局部几何信息，同时实现数据聚类和低维子空间选择，提高非线性、非高斯多模态过程监测性能。

创新点

提出融合局部鉴别正则化软

-均值与贝叶斯推理的多模态过程监测算法。该方法充分利用过程数据的局部和非局部几何信息，较好地发挥了无监督学习和有监督学习的优点，提高了模态数据的分离性和解释性，监测性能良好。

方法

该方法分为二个阶段：第一阶段，首先，考虑过程数据的局部和非局部几何信息，提出一种局部保持的正则化软

-均值聚类算法（LPRSKM）。然后，建立有监督学习与无监督学习的统一框架，提出融合LPRSKM与广义线性鉴别分析算法(GELDA)的局部鉴别正则化软

-均值算法(LDRSKM)(图1)。第二阶段，使用核支持向量数据描述(KSVDD)对各局部子空间建立监测统计量及控制限。然后，基于贝叶斯推理方法建立多模态过程全局监测统计量。最后，在TE仿真平台对所提方法进行仿真分析。

结论

针对非线性、非高斯的多模态过程监测，提出一种新的数据划分和最优低维子空间选择的迭代算法来提高不同模态数据的分离效果。在此基础上使用KSVDD和贝叶斯推理方法，较好地解决了多个非高斯和非线性的过程模态的监测准确性和可靠性问题。

Abstract

A local discriminant regularized soft

-means (LDRSKM) method with Bayesian inference is proposed for multimode process monitoring. LDRSKM extends the regularized soft

-means algorithm by exploiting the local and non-local geometric information of the data and generalized linear discriminant analysis to provide a better and more meaningful data partition. LDRSKM can perform clustering and subspace selection simultaneously

enhancing the separability of data residing in different clusters. With the data partition obtained

kernel support vector data description (KSVDD) is used to establish the monitoring statistics and control limits. Two Bayesian inference based global fault detection indicators are then developed using the local monitoring results associated with principal and residual subspaces. Based on clustering analysis

Bayesian inference and manifold learning methods

the within and cross-mode correlations

and local geometric information can be exploited to enhance monitoring performances for nonlinear and non-Gaussian processes. The effectiveness and efficiency of the proposed method are evaluated using the Tennessee Eastman benchmark process.

关键词

Keywords

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