Process control of paper web heating on the basis of dynamic programming method

Authors

  • Євгеній Сергійович Черьопкін National Technical University of Ukraine "Kyiv Polytechnic Institute", 37, Prospect Peremohy, 03056, Kyiv-56, Ukraine https://orcid.org/0000-0002-3610-005X
  • Анатолій Іванович Жученко National Technical University of Ukraine "Kyiv Polytechnic Institute", 37, Prospect Peremohy, 03056, Kyiv-56, Ukraine https://orcid.org/0000-0002-1552-8372

DOI:

https://doi.org/10.15587/2312-8372.2015.54908

Keywords:

paper web drying, dynamic programming, control system, disturbance, optimal control

Abstract

This paper deals with the use of dynamic programming method for the creation of optimal process control of paper web heating in the drying part of the paper machine, Results of the synthesized system are given. The main aim of research is to establish the efficiency of dynamic programming method under the influence of various sizes of disturbances on the control object. Using the method of simulation modeling it is conducted experimental researches of developed control system with the implementation of dynamic programming method adapted to this process. The proposed software solution allows effectively control the process of paper web heating in a wide range of disturbances. Dynamic programming method, which was implemented in the work, allows calculating the optimal values of control actions in each drying cylinder, which leads to solving the problem of process control while minimizing control criteria. The proposed solution can be used as part of the overall control process of the paper web drying in the drying part of the paper machine. The results will be used in the future to modify the dynamic programming method to integrate into it elements of prediction of perturbations and real-time correction of control actions.

Author Biographies

Євгеній Сергійович Черьопкін, National Technical University of Ukraine "Kyiv Polytechnic Institute", 37, Prospect Peremohy, 03056, Kyiv-56

Assistant

Department of Automation of Chemical Production

Анатолій Іванович Жученко, National Technical University of Ukraine "Kyiv Polytechnic Institute", 37, Prospect Peremohy, 03056, Kyiv-56

Doctor of Technical Sciences, Professor, Head of Department

Department of Automation of Chemical Production

References

  1. Lykov, A. V. (1968). Teoriia sushki. Moscow: Energiia, 472.
  2. Bellman, R. (2003). Dynamic Programming. Princeton University Press, 530.
  3. Bellman, R. (1952). On the Theory of Dynamic Programming. Princeton University Press, 343.
  4. Eddy, S. R. (2004). What is dynamic programming? Nature Biotechnology, Vol. 22, № 7, 909–910. doi:10.1038/nbt0704-909
  5. Nocedal, J., Wright, S. (2006). Numerical Optimization. New York: Springer-Verlag, 664. doi:10.1007/978-0-387-40065-5
  6. Powell, W. B. (2012). Perspectives of approximate dynamic programming. Annals of Operations Research Springer. Springer US, 38. doi:10.1007/s10479-012-1077-6
  7. Dobrovolskaia, T. (2014). The optimal algorithm of equipment operation determined by the dynamic programming method. Eastern-European Journal Of Enterprise Technologies, 5(8(71)), 53–58. doi:10.15587/1729-4061.2014.28017
  8. Borrelli, F., Baotića, A., Bemporad, A., Morari, M. (2005). Dynamic programming for constrained optimal control of discrete-time linear hybrid systems. Automatica, Vol. 41, 10, 1709–1721. doi:10.1016/j.automatica.2005.04.017
  9. Zhuchenko, A. I., Cheropkin, Ye. S. (2014). Matematycheskaia model prohreva bumazhnoho polotna v sushylnoi chasty bumahodelatelnoi mashyny. Visnyk Natsionalnoho tekhnichnoho universytetu Ukrainy «Kyivskyi politekhnichnyi instytut». Seriia «Khimichna inzheneriia, ekolohiia ta resursozberezhennia», 1 (12), 106–114.
  10. Zhuchenko, A., Cheropkin, E. (2015). Postanovka zadachy optymalnoho upravlenyia protsessom prohreva bumazhnoho polotna v sushylnoi chasty bumahodelatelnoi mashyny. Automation of technological and business-processes, Vol. 1, № 22, 25–31. doi:10.15673/2312-3125.21/2015.42859

Published

2015-11-26

How to Cite

Черьопкін, Є. С., & Жученко, А. І. (2015). Process control of paper web heating on the basis of dynamic programming method. Technology Audit and Production Reserves, 6(7(26), 6–10. https://doi.org/10.15587/2312-8372.2015.54908

Issue

Section

Information technology and control systems