DOI QR코드

DOI QR Code

Design of Multivariable PID Controllers: A Comparative Study

  • Memon, Shabeena (Department of Electronic Engineering, Mehran University of Engineering and Technology) ;
  • Kalhoro, Arbab Nighat (Department of Electronic Engineering, Mehran University of Engineering and Technology)
  • Received : 2021.09.05
  • Published : 2021.09.30

Abstract

The Proportional Integral Derivative (PID) controller is the most popular industrial controller and more than 90% process industries use this controller. During the past 50 years, numerous good tuning methods have been proposed for Single Input Single Output Systems. However, design of PI/PID controllers for multivariable processes is a challenge for the researchers. A comparative study of three PID controllers design methods has been carried-out. These methods include the DS (Direct Synthesis) method, IMC (Internal model Control) method and ETF (Effective Transfer Function) method. MIMO PID controllers are designed for a number of 2×2, 3×3 and 4×4 process models with multiple delays. The performance of the three methods has been evaluated through simulation studies in Matlab/Simulink environment. After extensive simulation studies, it is found that the Effective Transfer Function (ETF) Method produces better output responses among two methods. In this work, only decentralized methods of PID controllers have been studied and investigated.

Keywords

References

  1. G.Hemanth Krishna ,R.Kiranmayi, and M.Rathaiah, " Control System Design for 3x3 Processes Based on Effective Transfer Function and Fractional Order Filter", International Journal of Engineering and Advanced Technology, Volume 8, Issue 6, pp. 637-642, August 2019. https://doi.org/10.35940/ijeat.f8088.088619
  2. Shamsuzzoha and Mohd, "A unified approach for proportional-integral-derivative controller design for time delay processes", Korean Journal of Chemical Engineering, Volume 32, pp. 583-596, April 2014 https://doi.org/10.1007/s11814-014-0237-6
  3. Diaz Rodriguez, Ivan D, Han, Sangjin, and Shankar P. Bhattacharyya, "Analytical Design of PID controllers", Springer Science and Business Media LLC, January 2019
  4. E.Bristol, "On a New Measure of Interactions for Multivariable Process Control", IEEE Transactions on Automatic Control, Volume 11, Issue 1, pp. 133-134, January 1966. https://doi.org/10.1109/TAC.1966.1098266
  5. Seborg, Dale E, Duncan A. Mellichamp, Thomas F. Edgar, and Francis J. Doyle III," Process dynamics and control", John Wiley & Sons, 2010.
  6. Garcia C.E and Morari M, "Internal Model Control. A Unifying Review and Some New Results", Industrial and Engineering Chemistry Process Design and Development, Volume 21, Issue 2, pp. 308-323, April 1982. https://doi.org/10.1021/i200017a016
  7. Rivera, Daniel E, Manfred Morari, and Sigurd Skogestad, "Internal model control: PID controller design", Industrial & engineering chemistry process design and development, Volume 25, Issue 1, pp. 252-265, January 1986. https://doi.org/10.1021/i200032a041
  8. Xiong Q, Cai W.J and He M.J, "Effective Transfer Function Method for Decentralized Control System Design of Multi-Input Multi-Output processes" , Journal of Process Control, Volume 16, Issue 8, pp.773-784, September 2006. https://doi.org/10.1016/j.jprocont.2006.04.001
  9. Wang Q.G, Hang C.C, and Zou B, "Multivariable Process Identification and Control from Decentralized Relay Feedback", International Journal of Modeling and Simulation, Volume 20, Issue 4, pp. 341-348, July 2015. https://doi.org/10.1080/02286203.2000.11442176
  10. Wood R.K and Berry M.W, "Terminal composition control of a binary distillation column", Chemical Engineering Science, Volume 28, issue 9, pp. 1707-1717, September 1973. https://doi.org/10.1016/0009-2509(73)80025-9
  11. W. Lubyen and C. Vinante,"Experimental studies of distillation decoupling", kem. Teollisuus, Volume 29, pp. 499-514, 1972.
  12. Luyben W.L, "Simple Method for Tuning SISO Controllers in Multivariable Systems", Industrial and Engineering Chemistry Process Design and Development, Volume 25, Issue 3, pp. 654-600, July 1986. https://doi.org/10.1021/i200034a010
  13. Wardle, A.P, Wood and R.M, "Problems of Application of Theoretical Feed-forward Control Models to Industrial Scale Fractionating Plants", Institute of Chemical Engineers (IChemE) Symposium Series, Volume 32, pp. 68-81, 1969.
  14. Ogunnaike B.A and Ray W.H," Multivariable Controller Design for Linear Systems having Multiple Time Delays", AIChE Journal, Volume 25, pp. 1043-1060, November 1979. https://doi.org/10.1002/aic.690250616
  15. Shen Y, Cai W. J, and Li S. ,"Normalized Decoupling Control for High-Dimensional MIMO Processes for Application in Room Temperature Control HVAC Systems", Control Engineering Practice, Volume 18, Issue 6, pp. 652-664,2010. https://doi.org/10.1016/j.conengprac.2010.03.006