Advertisement

Model Predictive Controllers for Nonminimum-phase Quadruple-tank Process

  • Keerthi Chacko
  • Lakshmi Ponnusamy
  • Sangapillai Sutha
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 324)

Abstract

Predictive controllers are used in many in many industries recently. In this paper, a comparison between conventional Proportional plus integral (PI) controller using Ziegler–Nichols tuning method (Z–N) and predictive controllers such as dynamic matrix controller (DMC) and receding horizon control (RHC) are designed. Above-mentioned controllers are applied to a bench mark process quadruple-tank process (QTP) which is operated in nonminimum phase. The simulation for the process and above-mentioned controllers are obtained from MATLAB. Proposed controllers’ performance is supported with better tracking, disturbance rejection, and performance indices in terms of integral time absolute error (ITAE), integral absolute error (IAE) integral square error (ISE).

Keywords

Ziegler–Nichols tuning method Quadruple-tank process Dynamic matrix controller Receding horizon control Relative gain array Nonminimum phase 

References

  1. 1.
    S. Skogestad, I. Postlethwaite, Multivariable Feedback Control Analysis and Design, vol. 2 (Wiley, New York, 2000)Google Scholar
  2. 2.
    B. Wayne Bequette, Process Control Modeling, Design and Simulation (Prentice Hall of India, 2004)Google Scholar
  3. 3.
    K.H. Johansson, The quadruple-tank process: a multivariable laboratory process with an adjustable zero. IEEE Trans. Control Syst. Technol. 8, 456–465 (2000)Google Scholar
  4. 4.
    M. Zhuang, D.P. Atherton, PID controller design for a TITO system. IEE Proc. Control Theory Appl. 141, 111–120 (1994)CrossRefMATHGoogle Scholar
  5. 5.
    M. Ma et al, Non linear receding horizon control of quadruple tank system and real time implementation. Int. J. Innovative Comput. Inf. Control 8, 7083–7093 (2012)Google Scholar
  6. 6.
    M. Bahrami, B. Ebrahimi, M. Asadi, Robust control of a non linear non minimum phase supersonic flight vehicle based on stable system center. Aerosp. Sci. Technol. 25, 283–291 (2013)CrossRefGoogle Scholar
  7. 7.
    L. Wang, Model Predictive Control System Design (Springer, New York, 2009)Google Scholar
  8. 8.
    E.F. Camacho, C. Bordons, Model Predictive Control, 2nd ed. (Springer, New York, 2004)Google Scholar
  9. 9.
    S. Esaghi, H. Khauati, M.A. Badamchizadeh, I. Hasanzadeh, A predictive controller based on dynamic matrix control for a non-minimum phase robot manipulator. Int. J. Control Autom. Syst. 10, 574–581 (2012)Google Scholar
  10. 10.
    A. O’Dwyer, Handbook of PI and PID Controller Tuning Rules, 2nd ed (Imperial College Press, London, 2006)Google Scholar
  11. 11.
    S. Skogestad, Simple analytical rules for model reduction and PID controller tuning. J. Process. Control 13, 291–309 (2003)CrossRefGoogle Scholar
  12. 12.
    K.J. Astrom, T. Hagglund, PID Controllers: Theory, Design and Tuning, 2nd edn. (Instrument society of America, Research Triangle Park, 1995)Google Scholar
  13. 13.
    R. Viknesh, N. Sivakumaran, J.S. Chandra, T.K. Radhakrishnan, A critical study of decentralized controllers for a multivariable system. Chem. Eng. Technol. 27, 880–889 (2004)Google Scholar
  14. 14.
    H. Michalska, D.Q. Mayne, Robust receding horizon control of constrained nonlinear systems. Trans. Control Syst. 38, 1623–1633 (2002)MathSciNetGoogle Scholar
  15. 15.
    T. Raff, Nonlinear model predictive control of a four tank system—an experimental stability study, in Proceedings of the 2006 IEEE International Conference on Control Applications (2006)Google Scholar
  16. 16.
    N. Sivakumaran, T.K. Radhakrishnan, Predictive controller design for non-linear chemical processes. Indian J. Chem. Technol. 14, 341–349 (2007)Google Scholar
  17. 17.
    Y. Zou, Y. Niu, B. Chen, T. Jia, Networked predictive control of constrained linear systems with input quantization. Int. J. Syst. Sci. 1970–1982 (2013)Google Scholar

Copyright information

© Springer India 2015

Authors and Affiliations

  • Keerthi Chacko
    • 1
  • Lakshmi Ponnusamy
    • 1
  • Sangapillai Sutha
    • 1
  1. 1.Department of EEECollege of Engineering GuindyChennaiIndia

Personalised recommendations