Issue
Korean Journal of Chemical Engineering,
Vol.26, No.3, 622-630, 2009
Analytical design of PID controller cascaded with a lead-lag filter for time-delay processes
An analytical method for the design of a proportional-integral-derivative (PID) controller cascaded with a second-order lead-lag filter is proposed for various types of time-delay process. The proposed design method is based on the IMC-PID method to obtain a desired, closed-loop response. The process dead time is approximated by using the appropriate Pade expansion to convert the ideal feedback controller to the proposed PID·filter structure with little loss of accuracy. The resulting PID·filter controller efficiently compensates for the dominant process poles and zeros and significantly improves the closed-loop performance. The simulation results demonstrate the superior performance of the proposed PID·filter controller over the conventional PID controllers. A guideline for the closed-loop time constant, λ, is also suggested for the FOPDT and SOPDT models.
[References]
  1. Ziegler JG, Nichols NB, Trans. ASME, 64, 759, 1942
  2. Rivera DE, Morari M, Skogestad S, Ind. Eng. Proc. Des. Deu., 25, 252, 1986
  3. Morari M, Zafiriou E, Robust process control, Prentice Hall, Englewood Cliffs, NJ, 1989
  4. Chien IL, Fruehauf PS, Chem. Eng. Prog., 86, 33, 1990
  5. Horn IG, Arulandu JR, Gombas CJ, Vanantwerp JG, Braatz RD, Ind. Eng. Chem. Res., 35(10), 3437, 1996
  6. Lee Y, Park S, Lee M, Brosilow C, AIChE J., 44(1), 106, 1998
  7. Lee Y, Park S, Lee M, Hydrocarbon Processing, 87, 2006
  8. Shamsuzzoha M, Lee M, AIChE J., 54, 1526, 2008
  9. Shamsuzzoha M, Moonyong Lee M, Korean J. Chem. Eng., 25(4), 637, 2008
  10. Shamsuzzoha M, Lee M, Ind. Eng. Chem. Res., 46(7), 2077, 2007
  11. Dwyer AO, Handbook of PI and PID controller tuning rules, Imperial College Press, London, 2003
  12. Astrom KJ, Panagopoulos H, Hagglund T, Automatica, 34(5), 585, 1998
  13. Seborg DE, Edgar TF, Mellichamp DA, Process dynamics and control, John Wiley & Sons, Second edition, New York, 2004
  14. Shamsuzzoha M, Lee M, J. Chem. Eng. Jap., 40, 50, 2007
  15. Smith CL, Corripio AB, Martin Jr. J, Instrum. Technol., 22, 39, 1975