Simulation and Analysis of Fractional Order PID Controller

Authors

  • A. Asokan  Department of Instrumentation Engineering, Faculty of Engineering and Technology, Annamalai University, Annamalainagar, India
  • E. Sivaraman  Department of Instrumentation Engineering, Faculty of Engineering and Technology, Annamalai University, Annamalainagar, India
  • S. Mourouga Pragash  Department of EIE, Pondicherry Engineering College, Pondicherry, India

Keywords:

Fractional order PID controller, Zeigler-Nichols method, Astrom-Hagglund method, PID Controller

Abstract

This work presents the development of a new tuning method and performance of the fractional order PID controller includes the integer order PID controller parameter. The tuning of the PID controller is mostly done using Zeigler and Nichols tuning method. All the parameters of the controller, namely Kp (Proportional gain), Ki (integral gain), Kd (derivative gain) can be determined by using Zeigler and Nichols method. Fractional order PID (FOPID) is a special kind of PID controller whose derivative and integral order are fractional rather than integer. To design FOPID controller is to determine the two important parameters ? (integrator order) and ? (derivative order). In this paper it is shown that the response and performance of FOPID controller is much better than integer order PID controller for the same system.

References

  1. J.G. Zeigler and N.B. Nichols,” Optimum setting for automatic controller’, ASME Trans., pp. 759-768, 1942
  2. S.Manabe, “The non – integer integral and its application to control systems,” ETJ of Japan, vol.6, no.3-4, pp.83-87, 1961.4.
  3. K.J.Astrom, CC.Hang, P.Pearson and W.K Ho:” A self tuning controller with PID structure.” Inst.J.of Control, 38, pp. 401-417(1983)
  4. K.J.Astrom and T. Haggland;” Automatic tuning of PID controllers”, Instrument Society of America (1988).
  5. G. Maione and P. Lino, “New Tuning Rules for Fractional PIλDμ controllers”, Nonlinear Dynamics, 2006.
  6. M. Zhuang and D P Atherton, “Automatic tunning of Optimum PID controllers,” in IEEE Proceeding- Control theory and Application , vol. 140, 1993,pp.216-224
  7. K.J.Astrom and T. Haggland, “PID Controllers: Theory, Design and Tuning.” Research Triangle Park, NC: International Society for Measurement and Controls, 1995
  8. I.Petras, “The fractional-order controllers: Methods for their synthesis and application”, J.Elect.Eng, vol.50, no.9-10, pp.284-288, 1999.
  9. I.Podlubny, “Fractional-order systems and PIλDμ- CONTROLLERS,” IEEE Trans. Automat. Contr., vol.44, pp.208-214, Jan.1999.
  10. Podlubny,I.: “Fractional – order Systems and fractional order controllers.”Inst.Exp.Phys. Slovak Academy of Science N-1UEF-03-94,Kosice
  11. O. Lequin , M. Gevers, M.Mossberg, E.Bosmans and L. Triest , “ Iterative Feedback tuning of PID parameters : Comprision with classical tuning rules,” Control engineering Practice, vol. 11,2003,pp. 1023-1033.
  12. YangQuan Chen , Ivo Petras and Dingyu Xue ,” Fractional order Control – A Tutorial” American Control Conference , June 10-12, 2009 , pp. 1397-1411
  13. W. Jifeng, L. Yuankai, “Frequncy domain Analysis and Applications for Fractional Order Control System”, IOP,Journal of Physics:Conf. 13, pp.268- 273, 2005.
  14. K. Bettou, A. Charef, F. Mesquine, “A new design method for fractional PIλDμ controller”, IJ-STA, vol. 2, pp.414-429, 2008.
  15. B. Vinagre, I. Podlubny, L Dorcak and V. Feliu, “On fractional PID controllers: A frequency domain approach”,IFAC workshop on digital control. Past, present and future of PID control, pp. 53–58, Terrasa, Spain, 2000.
  16. Subhransu Padhee, Abhinav Gautam, Yaduvir Singh, and Gagandeep Kaur “A Novel Evolutionary Tuning Method For Fractional Order PID Controller”, International Journal of soft computing and Engineering(IJSCE),Issue-3,July 2011
  17. S.E. Hamamci “An algorithm for stabilization of fractional order time delay systems using fractional-order PID controllers”, IEEE Trans. On Automatic Control, vol. 52,pp. 1964-1969, 2007
  18. R. S. Barbosa, J. A. Tenerio, Machado and Isabel. M. Ferreira, “Tuning of PID controllers based Bode’s Ideal transfer function, Nonlinear Daynamics, vol. 38, pp.305 - 321, 2004.
  19. W. Jifeng, L. Yuankai, “Frequncy domain Analysis and Applications for Fractional Order Control System”, IOP,Journal of Physics:Conf. 13, pp.268- 273, 2005.
  20. D. Xue, Y.Q. Chen, D. P. Atherton “Linear Feedback Control Analysis and Design with MATLAB”, Advance sin Design and Control, Siam, 2007.
  21. Valerio, “Ninteger v. 2.3 Fractional control toolbox for MatLab”, http://web.ist.utl.pt/~duarte.valerio, 2005.
  22. K. Ogata, “Modern Control Engineering”, Prentice Hall,New Jersey, 2002.
  23. Mohd Fua’ad Rahmat , Amir Mehdi Yazdani , Mohammad Ahmadi Movahed and Somaiyeh Mahmoudzadeh ,” Temperature control of continuous stirred tank reactor by means of two different Intelligent Strategies” IJSSIS, Vol. 4.

International Journal of Scientific Research in Science, Engineering and Technology

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Published

2016-06-30

Issue

Volume 2, Issue 1, January-February-2016

Section

Research Articles

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How to Cite

[1]
A. Asokan, E. Sivaraman, S. Mourouga Pragash, " Simulation and Analysis of Fractional Order PID Controller, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 2, Issue 1, pp.671-676, January-February-2016.