Issue
Korean Journal of Chemical Engineering,
Vol.26, No.6, 1512-1518, 2009
Iterative learning controller synthesis using FIR models for batch processes
Adaptive iterative learning control based on the measured input-output data is proposed to solve the traditional iterative learning control problem in the batch process. It produces a control law with self-tuning capability by combining a batch-to-batch model estimation procedure with the control design technique. To build the unknown batch operation system, the finite impulse response (FIR) model with the lifted system is constructed for easy construction of a recursive least squares algorithm. It can identify the pattern of the current operation batch. The proposed model reference control method is applied to feedback control of the lifted system. It finds an appropriate control input so that the desired performance of the batch output can track the prescribed finite-time trajectory by iterative trials. Furthermore, on-line tracking control is developed to explore the possible adjustments of the future input trajectories within a batch. This can remove the disturbances in the current batch rather than the next batch trial and keep the product specifications consistent at the end of each batch. To validate the theoretical findings of the proposed strategies, two simulation problems are investigated.
[References]
  1. Boning DS, Moyne WP, Smith TH, Moyne J, Telfeyan R, Hurwitz A, Shellamn S, Taylor J, IEEE Transactions on Components, Packaging, and Manufacturing Technology, Part C, 19, 307, 1996
  2. Lee KS, Chin IS, Lee HJ, Lee JH, AIChE J., 45(10), 2175, 1999
  3. Mezghani M, Roux G, Cabassud M, Le Lann MV, Dahhou B, Casamatta G, IEEE Transactions on Control Systems Technology, 10, 822, 2002
  4. Phan MA, Longman RW, A mathematical theory of learning control for linear discrete multivariable systems, Proceedings of the AIAA/AAS Astrodynamics Conference, AIAA Publishers, Minneapolis, MN, 1988
  5. Moore KL, Multi-loop control approach to designing iteratively learning controllers, Proceedings of the 37th IEEE Conference on Decision and Control, Tampa, Florida, 1998
  6. Amann N, Owens DH, Rogers E, Int. J. Control, 65(2), 277, 1996
  7. Cho WH, Edgar TF, Lee JT, Korean J. Chem. Eng., 26(2), 307, 2009
  8. Han K, Park KJ, Chae H, Yoon ES, Korean J. Chem. Eng., 24, 921, 2007
  9. Xiong ZH, Zhang J, J. Process Control, 15(1), 11, 2005
  10. Balakrishnan KS, Edgar TF, Thin Solid Films, 365(2), 322, 2000
  11. Huzmezan M, Gough B, Kovac S, Advanced control of batch reactor temperature, American Control Conference, 2002
  12. Bonvin D, Srinivasan B, Ruppen D, AIChE Symposium Series, 326, 255, 2002
  13. Goodwin GC, Sin KS, Adaptive filtering prediction and control, Prentice-Hall Inc., Englewood Cliffs, NJ, 1984
  14. Ljung L, System identification: Theory for the user, Prentice-Hall Inc., Englewood Cliffs, NJ, 1987
  15. Ray WH, Szelely S, Process optimization, Wiley, New York, 1973