Abstract
With the increasing complexity of industrial processes, many practical industrial processes have multimodal characteristics to meet production requirements. In addition to stable modes with different operating points, transition modes are also generated when mode switching occurs. To monitor the running state of the process in real-time, it is necessary to carry out online multimodal identification. At present, how to accurately identify the transition modes and unknown modes is still an open problem. In this paper, an online multimodal identification method based on the complex network is proposed, which identifies different modes by the difference of data distribution between samples. To identify transition modes, moving window technology is introduced to extract dynamic characteristics of the historical data. The multimodal data is mapped in a complex network with the mean vectors of windows as nodes and the Jensen–Shannon (JS) divergence between the mean vectors as edges. Then, the community clustering algorithm is applied to cluster the nodes, which can automatically determine the number of clustering and solve the problem of unknown modal numbers in historical data. On this basis, the Kernel Density Estimation method is used to introduce the JS divergence thresholds to realize a new online multimodal identification, including transition modes and unknown modes. The model can be updated by collecting samples of unknown modes from the online multimodal identification results. Finally, the effectiveness of the proposed method is verified by a numerical example and the Tennessee-Eastman process.
Similar content being viewed by others
References
Bathelt, A., Ricker, N. L., & Jelali, M. (2015). Revision of the tennessee eastman process model. IFAC-PapersOnLine, 48(8), 309–314.
Blondel, V. D., Guillaume, J.-L., Lambiotte, R., & Lefebvre, E. (2008). Fast unfolding of communities in large networks. Journal of statistical mechanics: Theory and experiment, 2008(10), P10008.
Chen, S., Jiang, Q., & Yan, X. (2020). Multimodal process monitoring based on transition-constrained gaussian mixture model. Chinese Journal of Chemical Engineering, 28(12), 3070–3078.
Downs, J. J., & Vogel, E. F. (1993). A plant-wide industrial process control problem. Computers & Chemical Engineering, 17(3), 245–255.
Gao, H., Wei, C., Huang, W., & Gao, X. (2022). Multimode process monitoring based on hierarchical mode identification and stacked denoising autoencoder. Chemical Engineering Science, 253, 117556.
Lin, J. (1991). Divergence measures based on the shannon entropy. IEEE Transactions on Information theory, 37(1), 145–151.
Newman, M. E. (2006). Modularity and community structure in networks. Proceedings of the National Academy of Sciences, 103(23), 8577–8582.
Quiñones-Grueiro, M., Prieto-Moreno, A., Verde, C., & Llanes-Santiago, O. (2019). Data-driven monitoring of multimode continuous processes: A review. Chemometrics and Intelligent Laboratory Systems, 189, 56–71.
Rashid, M. M., & Yu, J. (2012). Hidden markov model based adaptive independent component analysis approach for complex chemical process monitoring and fault detection. Industrial & Engineering Chemistry Research, 51(15), 5506–5514.
Ricker, N. (1995). Optimal steady-state operation of the tennessee eastman challenge process. Computers & Chemical Engineering, 19(9), 949–959.
Sales-Pardo, M., Guimera, R., Moreira, A. A., & Amaral, L. A. N. (2007). Extracting the hierarchical organization of complex systems. Proceedings of the National Academy of Sciences, 104(39), 15224–15229.
Scott, D. W. (2015). Multivariate density estimation: Theory, practice, and visualization. John Wiley & Sons.
Sun, Y.-N., Zhuang, Z.-L., Xu, H.-W., Qin, W., & Feng, M.-J. (2021). Data-driven modeling and analysis based on complex network for multimode recognition of industrial processes, Journal of Manufacturing Systems.
Sun, B., Yang, C., Wang, Y., Gui, W., Craig, I., & Olivier, L. (2020). A comprehensive hybrid first principles/machine learning modeling framework for complex industrial processes. Journal of Process Control, 86, 30–43.
Wang, L., Yang, C., & Sun, Y. (2018). Multimode process monitoring approach based on moving window hidden markov model. Industrial & Engineering Chemistry Research, 57(1), 292–301.
Wu, D., Zhou, D., Zhang, J., & Chen, M. (2020). Multimode process monitoring based on fault dependent variable selection and moving window-negative log likelihood probability. Computers & Chemical Engineering, 136, 106787.
Acknowledgements
This work was supported by National Natural Science Foundation of China (U21A20475, U1908213), Natural Science Foundation of Hebei Province of China (E2022501017), Fundamental Research Funds for the Central Universities (N2223001), Colleges and Universities in Hebei Province Science Research Program (QN2020504).
Author information
Authors and Affiliations
Contributions
LD: Data curation, Formal analysis, Investigation, Methodology, Software, Validation, Visualization, Writing - original draft, Writing - review & editing. QZ: Conceptualization, Funding acquisition, Project administration, Resources, Supervision, Writing – review & editing. LC Data curation, Formal analysis, Software, Visualization. YH: Conceptualization, Resources, Supervision, Writing - review & editing.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported text in this paper.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Dong, L., Zhao, Q., Chen, L. et al. A Data-Driven Online Multimodal Identification Method for Industrial Processes Based on Complex Network. J Control Autom Electr Syst 34, 276–288 (2023). https://doi.org/10.1007/s40313-022-00971-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40313-022-00971-6