“Multiple Property Cross Direction Control of Paper Machines”

Authors: Markku Ohenoja and Kauko Leiviskä,
Affiliation: University of Oulu
Reference: 2011, Vol 32, No 3, pp. 103-112.

Keywords: cross direction control, paper machine, multiple properties, interactions, imaging measurements, automated tuning

Abstract: Cross direction (CD) control in sheet-forming process forms a challenging problem with high dimensions. Accounting the interactions between different properties and actuators, the dimensionality increases further and also computational issues arise. We present a multiple property controller feasible to be used especially with imaging measurements that provide high sampling frequency and therefore enable short control interval. The simulation results state the benefits of multiple property CD control over single property control and single property control using full feedforward compensation. The controller presented may also be tuned in automated manner and the results demonstrate the effect of tuning on input saturation.

PDF PDF (860 Kb)        DOI: 10.4173/mic.2011.3.2

DOI forward links to this article:
[1] Wenjuan Shan and Bing Liu (2020), doi:10.3390/sym12010149
[2] Zhe Mo (2022), doi:10.1088/1742-6596/2183/1/012019
[3] Wen-juan Shan and Wei Tang (2019), doi:10.7584/JKTAPPI.2019.04.51.2.76
[4] Wen-juan Shan, Wei Tang and Yunzhu Shen (2021), doi:10.7584/JKTAPPI.2021.10.53.5.54
[5] Andrey V. Bakhtin and Marina O. Slyuta (2023), doi:10.1109/CTS59431.2023.10289075
References:
[1] Backström, J., Gheorghe, C., Stewart, G., Vyse, R. (2001). Constrained model predictive control for cross directional multi-array processes - a look at its implementation on a linerboard machine, Pulp and Paper Canada, 102:33--36.
[2] Backstrom, J. He, P. (2004). Model predictive controller for coordinated cross direction and machine direction control, U.S. Pat. No. 6807510B1.
[3] Chang, D., Yu, C., Chien, I. (2001). Arrangement of multi-sensor for spatio-temporal systems: Application to sheet-forming processes, Chemical Engineering Science, 56:5709--5717 doi:10.1016/S0009-2509(01)00290-1
[4] Chen, S. (1997). Two-dimensional process modeling and control with wavelet decomposition, In XIV IMEKO World Congress - Volume XB, International CD Symposium ´97. Tampere, Finland.
[5] Chen, S. (1999). Two-dimensional web property variation modeling and control, U.S. Pat. No. 5893055.
[6] Duncan, S. Heath, W. (2008). A new approach to multi-array cross-directional control, In Control Systems. Vancouver, Canada.
[7] Duncan, S. Heath, W. (2010). The robustness of multi-array cross-directional control systems, In Control Systems. Stockholm, Sweden.
[8] Fan, J. (2003). Model predictive control for multiple cross-directional processes: analysis, tuning and implementation, Ph.D. thesis, The University of British Columbia, Vancouver, Canada.
[9] Ferguson, K. (1997). Full sheet imaging system becomes control reality, Pulp and Paper, 71:75--81.
[10] Francis, K. (1991). Paper weight sensor with stationary optical sensors calibrated by a scanning sensor, U.S. Pat. No. 5071514.
[11] Fu, C., Ollanketo, J., Makinen, J. (2006). Multivariable cd control and tools for control performance improvement, In Control Systems. Tampere, Finland.
[12] Garcia, C. Morari, M. (1985). Internal model control, 2. design procedure for multivariable systems. Industrial and Engineering Chemistry Process Design and Development, 24:472--484 doi:10.1021/i200029a043
[13] Hall, R. (1991). Coordinated cross-machine control, Paperi ja Puu, 73:241--248.
[14] Haznedat, B. Arkun, Y. (2002). Single and multiple property cd control of sheet forming processes via reduced order infinite horizon mpc algorithm, Journal of Process Control, 12:175--192 doi:10.1016/S0959-1524(01)00009-9
[15] Heath, W. Wills, A. (2004). Design of cross-directional controllers with optimal steady state performance, European Journal of Control, 10:15--27 doi:10.3166/ejc.10.15-27
[16] Heaven, E., Jonsson, I., Kean, T., Mannes, M., Vyse, R. (1994). Recent advances in cross machine profile control, IEEE Control Systems Magazine, 14:35--46 doi:10.1109/37.320885
[17] Kuusisto, R., Kosonen, M., Shakespeare, J., Huhtelin, T. (2002). Multivariable control of paper machine grade changes, Pulp and Paper Canada, 103:T260--263.
[18] Lahouaoula, A. Gheoghe, C. (2010). Advanced cross direction control using multiple multivariable mpc controllers, In Control Systems. Stockholm, Sweden.
[19] Lang, D., Kosonen, M., Kuusisto, R. (2001). Coordinating wet end and dry end controls on a fine paper machine, Pulp and Paper Canada, 102:T214--218.
[20] Ohenoja, M., Ylisaari, J., Leiviskä, K., Ritala, R. (2010). Analyzing 2-dimensional variation based on scanning and imaging measurements, In TAPPI PaperCon. Atlanta, GA, USA.
[21] Raunio, J., Tirronen, V., Ritala, R., Lehtoranta, I. (2010). 2d basis weight estimation based on light transmittance imaging, In Control Systems. Stockholm, Sweden.
[22] Rojas, O., Goodwin, G., Johnston, G. (2002). Spatial frequency antiwindup strategy for cross-directional control problems, IEE Proceedings - Control Theory and Applications, 149:414--422 doi:10.1049/ip-cta:20020249
[23] Shakespeare, J., Pajunen, J., Nieminen, V., Metsälä, T. (2003). Robust optimal control of profiles using multiple cd actuator systems, Pulp and Paper Canada, 104:T261--264.
[24] Söderberg, D., Wiberg, A., Jonhed, L. (2010). Real-time measurements of basis-weight variations across the full machine-width of individual plies in board production, In Control Systems. Stockholm, Sweden.
[25] Tyler, M. Morari, M. (1995). Estimation of cross-directional properties: Scanning vs stationary sensors, AIChE Journal, 41:846--854 doi:10.1002/aic.690410412
[26] Williams, P., Domin, T., Green, E., Holmes, R. (1996). Measurement/control of sheet material using at least one sensor array, U.S. Pat. No. 5563809.
[27] Ylisaari, J., Konkarikoski, K., Ritala, R., Kokko, T., Mäntylä, T. (2009). Simulator for testing measurement, estimation and control methods in 2d processes, In Proceedings of the MATHMOD Vienna - Vienna International Conference on Mathematical Modelling. Vienna, Austria.


BibTeX:
@article{MIC-2011-3-2,
  title={{Multiple Property Cross Direction Control of Paper Machines}},
  author={Ohenoja, Markku and Leiviskä, Kauko},
  journal={Modeling, Identification and Control},
  volume={32},
  number={3},
  pages={103--112},
  year={2011},
  doi={10.4173/mic.2011.3.2},
  publisher={Norwegian Society of Automatic Control}
};