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Visual Monitoring of Industrial Operation States Based on Kernel Fisher Vector and Self-organizing Map Networks

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  • Control Theory and Applications
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Abstract

As industrial process becomes increasingly complicated and the correlation between industrial process variables tends to exhibit strong nonlinear characteristics, how to effectively and visually monitor industrial operation states is challenging. A method based on kernel Fisher vector and self-organizing map networks (KFV-SOM) is proposed to improve the visualization of process monitoring. In KFV-SOM, kernel Fisher discriminant analysis is first employed to map data into high-dimensional space by using a nonlinear function, and the optimal Fisher feature vector, which can represent industrial operation states fittingly, is extracted. That is, the normal state and different kinds of faults can be distinguished well in the Fisher feature vector space. The topological structure of the Fisher feature vector space is then visualized intuitively on the two-dimensional output map of self-organizing map (SOM) with the Fisher feature vector as the input of the SOM network. Thus, the KFV-SOM can effectively realize the visualization of monitoring. Continuous stirred tank reactor process is applied to illustrate the capability of KFV-SOM. Result shows that KFV-SOM can effectively visualize monitoring, and it is better in showing the operation states of normal state and different kinds of faults on the output map of the SOM network than SOM, SOM integrated with principal component analysis, SOM integrated with correlative component analysis, SOM integrated with Fisher discriminant analysis, and SOM integrated with canonical variable analysis.

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References

  1. D. H. Zhou and Y. Y. Hu, “Fault diagnosis techniques for dynamic systems,” Acta Automatica Sinica, vol. 35, no. 6, pp. 748–758, July 2009.

    Article  Google Scholar 

  2. A. T. James, O. P. Gandhi, and S. G. Deshmukh, “Fault diagnosis of automobile systems using fault tree based on digraph modeling,” International Journal of System Assurance Engineering and Management, vol. 9, no. 2, pp. 494–508, April 2018.

    Article  Google Scholar 

  3. Y. Zhu and, L. Geng, “Research on SDG fault diagnosis of ocean shipping boiler system based on fuzzy granular computing under data fusion,” Polish Maritime Research, vol. 25, no. s2, pp. 92–97, September 2018.

    Article  Google Scholar 

  4. W. P. Wagner, “Trends in expert system development: a longitudinal content analysis of over thirty years of expert system case studies,” Expert Systems with Applications, vol. 76, pp. 85–96, June 2017.

    Article  Google Scholar 

  5. H. Ma, H. J. Liang, H. J. Ma, and Q. Zhou, “Nussbaum gain adaptive backstepping control of non-linear strict-feedback systems with unmodeled dynamics and unknown dead zone,” International Journal of Robust and Nonlinear Control, vol. 28, no. 17, pp. 5326–5343, September 2018.

    Article  MathSciNet  MATH  Google Scholar 

  6. Y. H. Zhang, H. J. Liang, H. Ma, Q. Zhou, and Z. D. Yu, “Distributed adaptive consensus tracking control for nonlinear multi-agent systems with state constraints,” Applied Mathematics and Computation, vol. 326, pp. 16–32, June 2018.

    Article  MathSciNet  Google Scholar 

  7. Y. H. Zhang, J. Sun, H. J. Liang, and H. Y. Li, “Event-triggered adaptive tracking control for multi-agent systems with unknown disturbances,” IEEE Transactions on Cybernetics, pp. 1–12, September 2018. DOI: 10.1109/TCYB.2018.2869084

    Google Scholar 

  8. X. H. Chang and G. H. Yang, “Nonfragile filtering of continuous-time fuzzy systems,” IEEE Transactions on Signal Processing, vol. 59, no. 4, pp. 1528–1538, April 2011.

    Article  MathSciNet  MATH  Google Scholar 

  9. M. Q. Shen and D. Ye, “Improved fuzzy control design for nonlinear Markovian-jump systems with incomplete transition descriptions,” Fuzzy Sets and Systems, vol. 217, pp. 80–95, April 2013.

    Article  MathSciNet  MATH  Google Scholar 

  10. J. L. Liu, S. M. Fei, E. G. Tian, and G. Zhou, “Co-design of event generator and filtering for a class of TS fuzzysystems with stochastic sensor faults,” Fuzzy Sets and Systems, vol. 273, pp. 124–140, August 2015.

    Article  MathSciNet  MATH  Google Scholar 

  11. C. Yang, T. Teng, B. Xu, Z. Li, J. Na, and C. Y. Su, “Global adaptive tracking control of robot manipulators using neural networks with finite-time learning convergence,” International Journal of Control Automation & Systems, vol. 15, no. 11, pp. 1916–1924, August 2017.

    Article  Google Scholar 

  12. M. Hamadache and D. Lee, “Principal component analysis based signal-to-noise ratio improvement for inchoate faulty signals: application to ball bearing fault detection,” International Journal of Control Automation & Systems, vol. 15, no. 2, pp. 506–517, April 2017.

    Article  Google Scholar 

  13. S. E. Calce, H. K. Kurki, D. A. Weston, and L. Gould, “Principal component analysis in the evaluation of osteoarthritis,” American Journal of Physical Anthropology, vol. 162, no. 3, pp. 476–490, March 2017.

    Article  Google Scholar 

  14. B. Wang, H. Pan, and W. Yang, “Robust bearing degradation assessment method based on improved CVA,” IET ScienceMeasurement & Technology, vol. 11, no. 5, pp. 637–645, July 2017.

    Article  Google Scholar 

  15. D. Borek, R. Bromberg, J. Hattne, and Z. Otwinowski, “Real-space analysis of radiation-induced specific changes with independent component analysis,” Journal of Synchrotron Radiation, vol. 25, no. 2, pp. 451–467, February 2018.

    Article  Google Scholar 

  16. H. Wang, X. Lu, Z. Hu, and W. Zheng, “Fisher discriminant analysis with Ll-norm,” IEEE Transactions on Cybernetics, vol. 44, no. 6, pp. 828–842, July 2017.

    Article  Google Scholar 

  17. A. F. Silva, M. C. Sarraguça, P. R. Ribeiro, A. O. Santos, B. T. De, and J. A. Lopes, “Statistical process control of cocrystallization processes: a comparison between OPLS andPLS,” International Journal of Pharmaceutics, vol. 520, no. 1-2, pp. 29–38, March 2017.

    Article  Google Scholar 

  18. J. W. Tang and X. F. Yan, “Neural network modeling relationship between inputs and state mapping plane obtained by FDAt-SNE forvisual industrial process monitoring,” Applied Soft Computing, vol. 60, pp. 577–590, November, 2017.

    Article  Google Scholar 

  19. F. An, X. Zhang, L. Chen, and H. J. Mattausch, “A memory-based modular architecture for SOM and LVQ withdynamic configuration,” IEEE Transactions on Multi-scale Computing Systems, vol. 2, no. 4, pp. 234–241, October 2016.

    Article  Google Scholar 

  20. T. Chopraand J. Vajpai, “Classification of faults in damadics benchmark process control system using self-organizing maps,” International Journal of Soft Computing & Engineering, vol. 1, no. 3, pp. 22312307, March 2011.

    Google Scholar 

  21. F. Corona, M. Mulas, R. Baratti, and J. A. Romagnoli, “On the topological modeling and analysis of industrial process data using the SOM,” Computers & Chemical Engineering, vol. 34, no. 12, pp. 2022–2032, December 2010.

    Article  Google Scholar 

  22. H. Y. Yu, F. Khan, V. Garaniya, and A. Ahmad, “Self-organizing map based fault diagnosis technique for non-gaussian processes,” Industrial & Engineering Chemistry Research, vol. 53, no. 21, pp. 8831–8843, May 2014.

    Article  Google Scholar 

  23. J. Q. Hu, L. B. Zhang, and W. Liang, “Dynamic degradation observer for bearing fault by MTSSOM system,” Mechanical Systems and Signal Processing, vol. 36, no. 2, pp. 385–400, April 2013.

    Article  Google Scholar 

  24. Z. G. Feng and T. Xu, “Comparison of SOM andPCA-SOM infault diagnosis of ground-testing bed,” Procedia Engineering, vol. 15, no. 1, pp. 1271–1276, December 2011.

    Article  Google Scholar 

  25. X. Y. Chen and X. F. Yan, “Using improved self-organizing map for fault diagnosis in chemical industry process,” Chemical Engineering Research and Design, vol. 90, no. 12, pp. 2262–2277, December 2012.

    Article  Google Scholar 

  26. X. Y. Chen and X. F. Yan, “Fault diagnosis in chemical process based on self-organizing map integrated with Fisher discriminant analysis,” Chinese Journal of Chemical Engineering, vol. 21, no. 4, pp. 382–387, July 2013.

    Article  Google Scholar 

  27. Y Song, Q. C. Jiang, X. F. Yan, and M. J. Guo, “A multi-SOM withcanonical variate analysis for chemical process monitoring and fault diagnosis,” Journal of Chemical Engineering of Japan, vol. 47, no. 1, pp. 40–51, January 2014.

    Article  Google Scholar 

  28. W. Chu and X. Li, “On the asymptotic behavior of the kernel function in the generalized langevin equation: a one-dimensional lattice model,” Journal of Statistical Physics, vol. 170, no. 2, pp. 378–398, November 2018.

    Article  MathSciNet  MATH  Google Scholar 

  29. H. Ishibashi and T. Furukawa, “Hierarchical tensor SOM networkfor multilevel-multigroup analysis,” Neural Process Letter, no. 1, pp. 1–15, June 2017.

    Google Scholar 

  30. G. Abaei, A. Selamat, and H. Fujita, “An empirical study based on semi-supervised hybrid self-organizing map for software fault prediction,” Knowledge-based Systems, vol. 74, pp. 28–39, January 2015.

    Article  Google Scholar 

  31. Y Yang, W. Sheng, Y Han, and X. Ma, “Multi-beam pattern synthesis algorithm based on kernel principal component analysis and semi-definite relaxation,” IET Communications, vol. 12, no. 1, pp. 82–95, January 2018.

    Article  Google Scholar 

  32. J. D. A. Santos and G. A. Barreto, “An outlier-robust kernel RLS algorithmfor nonlinear system identification,” Nonlinear Dynam, vol. 90, no. 3, pp. 1707–1726, Novembe 2017.

    Article  MathSciNet  Google Scholar 

  33. N. D. Hoang and D. T. Bui, “Predicting earthquake-induced soil liquefaction based on a hybridization of kernel Fisher discriminant analysis and a least squares support vector machine: a multi-dataset study,” Bulletin of Engineering Geology & the Environment, vol. 77, no. 1, pp. 191–204, February 2018.

    Article  Google Scholar 

  34. S. Mika, G. Ratsch, J. Weston, B. Scholkopf, and K. R. Mullers, “Fisher discriminant analysis with kernels,” Neural Networks for Signal Processing IX: Proceedings of the IEEE SignalProcessing Society Workshop, pp. 41–48, 1999.

    Google Scholar 

  35. X. Zhang, W. Yan, X. Zhao, and H. Shao, “Nonlinear biological batch process monitoring and fault identification based on kernel Fisher discriminant analysis,” Process Biochemistry, vol. 42, no. 8, pp. 1200–1210, August 2007.

    Article  Google Scholar 

  36. L. Cao and Y. Wang, “Fault-tolerant control for nonlinear systems with multiple intermittent faults and time-varying delays,” International Journal of Control Automation & Systems, vol 16, no. 2, pp. 609–621, March 2018.

    Article  Google Scholar 

Download references

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Correspondence to Xue-Feng Yan.

Additional information

Recommended by Associate Editor Mathiyalagan Kalidass under the direction of Editor Jay H. Lee. This work was supported by the National Natural Science Foundation of China (21878081) and Fundamental Research Funds for the Central Universities under Grant of China (222201917006).

Wei-Peng Lu received his B.S. degree in Automation from East China University of Science and Technology in 2017. He is currently studying for a master’s degree in the same graduate school. His research interests include fault diagnosis and visual process monitoring.

Xue-Feng Yan received his Ph.D. degree in Control Theory and Engineering from Zhejiang University in 2002. Heis now a professor of East China University of Science and Technology. His research interests include complex chemical process modeling, optimizing and controlling, process monitoring, fault diagnosis, and intelligent information processing. Heis a member of Chinese Association of Automation.

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Lu, WP., Yan, XF. Visual Monitoring of Industrial Operation States Based on Kernel Fisher Vector and Self-organizing Map Networks. Int. J. Control Autom. Syst. 17, 1535–1546 (2019). https://doi.org/10.1007/s12555-018-0338-9

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  • DOI: https://doi.org/10.1007/s12555-018-0338-9

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