Abstract
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.
Similar content being viewed by others
References
J. G. Ziegler and N. B. Nichols, Trans. ASME, 64, 759 (1942).
D. E. Rivera, M. Morari and S. Skogestad, Ind. Eng. Proc. Des. Deu., 25, 252 (1986).
M. Morari and E. Zafiriou, Robust process control, Prentice Hall, Englewood Cliffs, NJ (1989).
I. L. Chien and P. S. Fruehauf, Chem. Eng. Prog., 86, 33 (1990).
I. G. Horn, J. R. Arulandu, J. G. Christopher, J. G. VanAntwerp and R. D. Braatz, Ind. Eng. Chem. Res., 35, 3437 (1996).
Y. Lee, S. Park, M. Lee and C. Brosilow, AIChE J., 44, 106 (1998).
Y. Lee, S. Park and M. Lee, Hydrocarbon Processing, 87 (2006).
M. Shamsuzzoha and M. Lee, AIChE J., 54, 1526 (2008).
M. Shamsuzzoha and M. Lee, Korean J. Chem. Eng., 25, 637 (2008).
M. Shamsuzzoha and M. Lee, Ind. Eng. Chem. Res. 46, 2077 (2007).
Aidan O. Dwyer, Handbook of PI and PID controller tuning rules, Imperial College Press, London (2003).
K. J. Åström, H. Panagopoulos and T. Hägglund, Automatica, 34, 585 (1998).
D. E. Seborg, T. F. Edgar and D. A. Mellichamp, Process dynamics and control, John Wiley & Sons, Second edition, New York (2004).
M. Shamsuzzoha and M. Lee, J. Chem. Eng. Jap., 40, 50 (2007).
C. L. Smith, A. B. Corripio and J. Jr. Martin, Instrum. Technol., 22, 39 (1975).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shamsuzzoha, M., Lee, S. & Lee, M. Analytical design of PID controller cascaded with a lead-lag filter for time-delay processes. Korean J. Chem. Eng. 26, 622–630 (2009). https://doi.org/10.1007/s11814-009-0104-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11814-009-0104-z