Design and Simulation of IMC based PI Controller for a MIMO Process

Authors(2) :-C. Ravikumar, Dr. D. Sivakumar

The objective of this paper is to develop the Internal Model Control (IMC) based PI Controller for a MIMO (SISO) Process. The controller thus developed is implemented on Laboratory interacting coupled tank process through simulation. This can be regarded as the relevant process control in petrol and chemical industries. These industries involve controlling the liquid level and the flow rate in the presence of nonlinearity and disturbance which justifies the use of IMC based PI Controller scheme. For this purpose, mathematical models are obtained for each of the input-output combinations using white box approach and the respective controllers are developed. A detailed analysis on the performance of the chosen process with these controllers is carried out. Simulation studies reveal the effectiveness of proposed controller for MIMO process that exhibits nonlinear behaviour.

Authors and Affiliations

C. Ravikumar
Department of Instrumentation and Control Engineering, A.V.C. College of Engineering, Mannampandal, India
Dr. D. Sivakumar
Department of Electronics & Instrumentation Engineering, Annamalai University, Chidambaram, India

Interacting coupled tank system, IMC, PI controller, MIMO.

  1. Arjun Numsomran, Tianchai Suksri and Maitree Thumma, “Design of 2-DOF PI Controller with Decoupling for Coupled-Tank Process,” in Proc. International Conference on Control, Automation and Systems, Korea, pp.339-344, October 17-20, 2007.
  2. Chatchaval pornpatkul and Tianchai suksri, “Decentralized Fuzzy Logic Controller for TITO Coupled Tank Process”, in Proc. ICROS-SICE International Joint Conference, Japan, pp.2862-2866, August 18-21, 2009
  3. Morari, M. and E. Zafiriou Robust Process Control, Prentice-Hall, Englewood Cliffs, NJ (1989).
  4. S.Vadivazhagi,Dr.N.Jaya, Modelling and Simulation of Interacting Conical Tank Systems, International Journal of Innovative Research in Science,Engineering and Technology,Vol.3,Issue 6,2014.
  5. Rivera, D.E., M. Morari and S. Skogestad “Internal Model Control. 4. PID Controller Design,” Ind. Eng. Chem. Proc. Des. Dev., 25, 252-265 (1986).
  6. Rotstein, G.E. and D.R. Lewin “Simple PI and PID Tuning for Open-Loop Unstable Systems,”Ind. Eng. Chem. Res., 30, 1864-1869 (1991).
  7. Rathikarani Duraisamy and Sivakumar Dakshinamuthy, “An adaptive optimization scheme for controlling air flow process with satisfactory transient performance”, Maejo International Journal of Science and Technology, vol.4, no.2, pp.221-234, 2010.
  8. George Stephanopoulos, Chemical Process Control – An introduction to Theory and Practice, PHI Private limited, New Delhi, 2005.
  9. Daniel E. Rivera, Manfred Morari, and Sigurd Skogestad, Internal Model Control. 4. PID Controller Design, Ind. Eng. Chem. Process Des. Dev,Vol 25, pp.252-265,1986.
  10.  S.Nithya, N.Sivakumaran, T.Balasubramanian and N.Anantharaman, Model based controller design for a Spherical Tank Process in real time ,Proceedings of International journal of Simulation,System,Science and Technology, Vol.9, No.A4, pp.247-252,2008.
  11. P. Manikandan, M. Geeta, “Real time Implementation and Performance Analysis of an Intelligent Fuzzy Logic Controller for Level Process”, Proc. of Int. Conf. on Computing, Communications and Networking Technologies, Tiruchengode, July, 2013.

Publication Details

Published in : Volume 4 | Issue 11 | November-December 2018
Date of Publication : 2018-11-30
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 57-63
Manuscript Number : IJSRSET1841116
Publisher : Technoscience Academy

Print ISSN : 2395-1990, Online ISSN : 2394-4099

Cite This Article :

C. Ravikumar, Dr. D. Sivakumar, " Design and Simulation of IMC based PI Controller for a MIMO Process, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 4, Issue 11, pp.57-63, November-December-2018. Available at doi :
Journal URL :

Article Preview

Follow Us

Contact Us