Analytical Design of IMC-PID Controller for Ideal Decoupling Embedded in Multivariable Smith Predictor Control System
In this paper, the analytical tuning rules of IMC-PID controller are presented for the multivariable Smith predictor that involved the ideal decoupling. Accordingly, the decoupler is first introduced into the multivariable Smith predictor control system by a well-known approach of ideal decoupling, which is compactly extended for general nxn multivariable processes and the multivariable Smith predictor controller is then obtained in terms of the multiple single-loop Smith predictor controllers. The tuning rules of PID controller in series with filter are found by using Maclaurin approximation. Many multivariable industrial processes are employed to demonstrate the simplicity and effectiveness of the presented method. The simulation results show the superior performances of presented method in compared with the other methods.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1125405Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 969
 W .L. Luyben, “Simple method for tuning SISO controllers in multivariable systems,” Ind. Eng. Chem. Process Des. Dev. vol.25, pp. 654-660, 1986.
 P. J. Campo and M. Morari, “Achievable closed-Loop properties of systems under decentralized control: conditions involving the steady-state gain,” IEEE Trans. Autom. Control, vol. 39, pp. 932-943, 1994.
 J. Lee, W. Cho and T.F. Edgar, “Multi-loop PI controller tuning for interacting multivariable processes,” Comp. Chem. Eng., vol. 22, pp. 1711-1723, 1998.
 N.L.V, Truong and M. Lee, “Independent design of multi-loop PI/PID controllers for interacting multivariable processes,” J. Process Control, vol. 20, pp. 922-933, 2010.
 N.L.V. Truong and M. Lee, “Analytical design of multi-loop PI controllers for interactive multivariable processes,”JCEJ., vol 43, pp.196-208, 2010.
 N.L.V Truong and M. Lee, “Multi-loop PI controller design based on the direct synthesis for interacting multi-time delay processes,” ISA Trans., vol. 49, pp.79-86, 2010.
 Q. C. Wang, T. H. Lee, and C. Liu, Relay feedback: Analysis, identification and control. London, UK: Springer, 2003.
 Q. C. Wang, Y. Zhang, and M. S. Chiu, “Non-interacting control design for multivariable industrial processes,” J. Process Control. vol. 13, pp. 253-265, 2013.
 W. L. Luyben, “Distillation decoupling,” AIChE J., vol. 16, pp.198–203, 1970.
 M. Waller, J. B. Waller, and K. V. Waller, “Decoupling revisited,” Ind. Eng. Chem. Res., vol. 42, pp. 4575–4577, 2003.
 W. J. Cai, W. Ni, M. J. He, and C. Y. Ni, “Normalized decoupling–A new approach for MIMO processes control system design,” Ind. Eng. Chem. Res., vol. 47, pp. 7347–7356, 2008.
 J. Garrido, F. Vázquez, and F. Morilla, “An extended approach of inverted decoupling,” J. Process Control., vol. 21, pp. 55-68, 2011.
 M. Morari and E. Zafiriou, Robust Process Control. NJ, USA: Englewood Cliffs, Prentice Hall, 1989.
 S.L. William, Control System Fundamentals. NY, USA: CRC Press, 1999.
 R.K. Wood, and M.W. Berry, “Terminal composition control of binary distillation column,” Chem. Eng. Sci., vol. 28, pp. 1707-1717, 1973.
 A.P. Loh, C.C. Hang, C.K. Quek, and V.U. Vasnani, “Autotuning of multi-loop proportional - integral controllers using relay feedback,” Ind. Eng. Chem. Res., vol. 32, no. 6, pp. 1102-1107, 1993.
 M. Lee, K. Lee, C. Kim, and J. Lee, “Analytical design of multi-loop PID controllers for desired closed-loop responses,” AIChE J., vol. 50, pp. 1631-1635, 2004.
 W. H. Ho, T.H. Lee, and O.P. Gan, “Tuning of multi-loop PID controllers based on gain and phase margin specifications,” Ind. Eng. Chem. Res., vol. 36, pp. 2231-2238, 1997.