A Study on the LQG Precision Tension Control of a Dancer System for a Production of Printed Electronics in Roll-to-roll Systems

Roll-to-roll 시스템에서 인쇄전자 생산을 위한 댄서 시스템의 LQG 정밀 장력 제어에 대한 연구

  • Published : 2009.10.01

Abstract

For mass production of printed electronics in roll-to-roll fashion, precision tension control is important to reduce register errors. Register error should be minimized within several to tens of microns for many electronic devices to be manufactured through printing technology. In order to achieve this goal, tension disturbance must be attenuated before printing process within a certain range. In this paper, a certain tension range which allows maintaining register error within 10 micron was defined with specific operating conditions. A LQG controller was proposed instead of the conventional PI controller for precision tension control using a multivariable feedback. A guideline to determine design parameters for calculating LQ gain was proposed. The proposed LQG controller was compared to both PI controller and LQ regulator with white noise by numerical simulations. Results showed that the proposed LQG controller was effective for attenuating tension disturbance with white noise.

Keywords

References

  1. Mildner, W., "OE-A The international network for the organic and printed electronics industry," 1st Int. Conference on R2R Printed Electronics 2008, Vol. 1,pp. 49-67, 2008
  2. Brandenburg, G., "New mathematical models for web tension and register error," Proc. of 3rd Int. IFAC Conf. Instrumentation and Automation in the Paper, Rubber and Plastics Industries (PRP 3), Vol. 1, pp. 411-438, 1976
  3. Ebler, N. A., Arnason, R., Michaelis, G. and D'Sa, N., "Tension Control: Dancer Rolls or Load Cells," IEEE Trans. on Industry Applications, Vol. 29, No. 4, pp. 727-739, 1993 https://doi.org/10.1109/28.231986
  4. Pagilla, P. R., Dwivedula, R. V., Zhu, Y. and Perera, L. P., "Periodic Tension Disturbance Attenuation in Web Process Lines using Active Dancers," Journal ofDynamic Systems, Measurement, and Control, Vol. 125, No. 3, pp. 361-371, 2003 https://doi.org/10.1115/1.1590678
  5. Pagilla, P. R., Perera, L. P. and Dwivedula, R. V., "The Role of Active Dancers in Tension Control of Webs," Proc. of the 6th International Conference on Web Handling, Vol. 1, pp. 227-242, 2001
  6. Kang, H. K., Shin, K. H. and Kim, S. C, "Modeling and Analysis of a Pendulum Dancer in Industrial Converting Machines," Trans. of the KSME(A), Vol. 33, No. 5, pp. 482-488, 2009 https://doi.org/10.3795/KSME-A.2009.33.5.482
  7. Kang, H. K. and Shin, K. H., "Matching Design of a Tension Controller with Pendulum Dancer in Roll-toroll Systems," Journal of the KSPE, Vol. 26, No. 6, pp. 81-89, 2009
  8. Shin, K. H., "Tension Control," Tappi Press, pp. 35-42, 2000
  9. Shin, K. H., "Distributed Control of Tension in Multi-Span Web Transport Systems," Ph. D. Thesis of Automatic Control, Oklahoma State University, pp. 18-90, 1991
  10. Skogestad, S. and Postlethwaite, I., "Multivariable feedback control analysis and design," John Wiley & Sons, pp. 344-349, 2005
  11. Grewal, M. S. and Andrews, A. P., "Kalman Filtering Theory and Practice using MATLAB 2nd Edition," Wiley Interscience, pp. 114-125, 2001