C. V. Nageswara Raoa, A. Seshagiri Raob, and R. Padma Sree1,c

a Department of Chemical Engineering, G.V. P. College of Engineering (A), Madhurawada
b Department of Chemical Engineering, NIT, Trichy.
c Department of Chemical Engineering, AU College of Engineering (A), Visakhapatnam, India


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ABSTRACT


In this paper, design of Proportional Integral and Derivative (PID) controllers based on internal model control (IMC) principles, direct synthesis method (DS), stability analysis (SA) method for pure integrating process with time delay is proposed. The performances of the proposed controllers are compared with the controllers designed by recently reported methods. The robustness of the proposed controllers for the uncertainty in model parameters is evaluated considering one parameter at a time using Kharitonov’s theorem. The proposed controllers are applied to various transfer function models and to non linear model of isothermal continuous copolymerization of styrene-acrylonitrile in CSTR. An experimental set up of tank with the outlet connected to a pump is considered for implementation of the PID controllers designed by the three proposed methods to show the effectiveness of the methods.


Keywords: PID controller; integrating systems; internal model controller; stability analysis; direct synthesis method; robustness; Kharitonov’s theorem; level control in cylindrical tank


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REFERENCES


  1. [1] Chien, L. and Fruehauf, P. S. 1990. Consider IMC tuning to improve performance. Chem Eng Progr, 10: 33-41.

  2. [2] Fuentes, C. and Luyben, W. L. 1983. Control of high purity distillation columns. Ind Eng Chem Process Des Dev, 22: 362.

  3. [3] Srividya, R. and Chidambaram, M. 1997. On line controller tuning for integrator plus delay processes. Process Contr Qual, 9: 59-66.

  4. [4] Astrom, K. J., and Haggland, T. 1995. “PID controllers: Theory, Design and Tuning”, Instr Soc. America, North Carolina.

  5. [5] Yu, C. C. 1999. “Auto Tuning of PID controllers”, Springer-Verlag, Berlin

  6. [6] Ziegler, J. G. and Nichols, N. B. 1942. Optimum settings for automatic controllers. Trans ASME, 64: 759-765.

  7. [7] Tyreus, B.D. and Luyben, W.L. 1992. Tuning PI controllers for integrator/ dead-time processes. Ind Eng Chem Res, 31: 2625.

  8. [8] Chidambaram, M. 1994. Design of PI controller for integrator/dead-time processes. Hungar J Ind Chem, 22: 37.

  9. [9] Poulin, E. and Pomerleau, A. 1999. PI settings for integrating processes based on ultimate cycle information. IEEE Trans Contr Syst Tech, 7: 509.

  10. [10] Luyben, W. L. 1996. Design of Proportional Integral and Derivative controllers for integrating dead-time processes. Ind Eng Chem Res, 35: 3480.

  11. [11] Wang, L. and Cluette, W.R. 1997. Tuning PID controllers for integrating processes. IEE Proc Contr Theor Appl, 144: 385.

  12. [12] Kookos, I. K., Lygros, A. I., and Arvanitis,K. G. 1999. On-line PI controller tuning for integrator / dead time processes. Eur J Contr, 5: 19.

  13. [13] Wang, Y.G. and Cai, W.J. 2002. Advanced proportional integral derivative tuning for integrating and unstable processes with gain and phase margin specifications. Ind Eng Chem Res, 41: 2910-2914.

  14. [14] Visioli, A. 2001. Optimal tuning of PID controllers for integral and unstable processes. IEE Proc Contr Theor Appl, 148: 180.

  15. [15] Zhang, W., Xu, X., and Sun, Y. 1999. Quantitative performance design for integrating processes with time delay. Automatica, 35: 719-723.

  16. [16] Ali, A. and Majhi, S. 2010. PID controller tuning for integrating processes. ISA Trans, 49: 70-78.

  17. [17] Rivera, D.E., Morari, M., and Skogestad, S. 1986. Internal Model Control – 4, PID controller design. Ind Eng Chem Process Des Dev, 25: 1684.

  18. [18] Skogestad, S. 2003. Simple analytical rules for model reduction and PID controller tuning. J Process Contr, 13: 291-309.

  19. [19] Shamsuzzoha, Md. and Lee, M. 2008. PID controller design for integrating processes with time delay. Kor J Chem Eng, 25, 4: 637-645.

  20. [20] Sung, S.W. and Lee, I.B. 1996. Limitations and counter measures of PID controllers. Ind Eng Chem Res, 35: 2596-2610.

  21. [21] Matausek, M. R., and Micic, A. D. 1999. On the modified Smith predictor for controlling a process with an integrator and long time. IEEE Trans. Automat. Contr, 44, 8: 1603-1606.

  22. [22] Majhi, S. and Atherton, D. P. 1999. Modified Smith predictor and controller for process with time delay. IEE Proc. Part D, 146, 5: 359-366.

  23. [23] Padma Sree, R. and Chidambaram, M. 2005. A Simple method of tuning PID controllers for integrator/dead-time processes. Journal of Chemical Engineering of Japan, 38: 113-119.

  24. [24] Seshagiri Rao, A., Rao, V. S. R. and Chidambaram, M. 2009. Direct synthesis based controller design for integrating processes with time delay. Franklin Inst, 346: 38-56.

  25. [25] Ogunnaike, B. A., and Ray, W. H. 1994. “Processes dynamics modeling and control“, Oxford university press, New York. 666-667.

  26. [26] Douglas, J. M. 1972. “Process dynamics and control”, Prentice Hall, Englewood Cliffs. NJ. 85-148.

  27. [27] Kharitonov, V. L. 1978. Asymptotic stability of an equilibrium position of a family of systems of linear differential equations. Differentsial’nye Uraveniya, 14: 1483-1485.

  28. [28] Sinha, N. K. 2002. “Control Systems”, New year international publishers. 142-144.

  29. [29] Kravaris, C., Wright, R. A. and Carrier, J. F. 1989. Nonlinear controllers for Trajectory tracking in batch processes. Computers and Chemical Engineering, 13: 73-82.

  30. [30] Kravaris, C., Wright, R. A., and Carrier, J. F. 1989. Nonlinear controllers for Trajectory tracking in batch processes. Comput Chem Eng, 13: 73-82.

  31. [31] Friman, M. and Waller, K. V. 1994. Auto tuning of multi loop control system, Ind Eng Chem Res, 33: 1708.

  32. [32] Rice, R. and Cooper, D. J. 2008. Improve control of liquid level loops. Chem Eng Progr, www.aiche.org/cep: 54-61.


ARTICLE INFORMATION




Accepted: 2011-09-29
Available Online: 2011-12-01


Cite this article:

Rao, C.V.N., Rao, A.S., Sree, R.P. 2011. Design of PID controllers for pure integrator systems with time delay. International Journal of Applied Science and Engineering, 9, 241–260. https://doi.org/10.6703/IJASE.2011.9(4).241