A method for PID controller tuning using nonlinear control techniques

Proceedings of the American Control Conference

Volumn 4, Issue , 2004, Pages 2925-2930

  Mhaskar, Prashant ^a   El Farra, Nael H ^a   Christofides, Panagiotis D ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Nonlinear Control; PID controller; Process control; Tuning methods

Indexed keywords

APPROXIMATION THEORY; CHEMICAL REACTORS; CLOSED LOOP CONTROL SYSTEMS; NONLINEAR CONTROL SYSTEMS; PROBLEM SOLVING; PROCESS CONTROL; SYSTEM STABILITY; TUNING;

PROCESS DYNAMICS; PROCESS STATES; TUNING METHODS; TUNING PARAMETER;

THREE TERM CONTROL SYSTEMS;

EID: 8744252322     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/acc.2004.1384356     Document Type: Conference Paper

References (25)

1. J. G. Ziegler and N. B. Nichols, "Optimum settings for automatic Controllers," Trans. ASME, vol. 64, pp. 759-768, 1942.
2. D. E. Rivera, M. Morari, and S. Skogestad, "Internal model control. 4. PID controller design," Ind. Eng. Chem. Proc. Des. & Dev., vol. 25, pp. 252-265, 1986.
3. J. T. Lee, W. Cho, and T. F. Edgar, "Control system design based on a first order plus time delay model," J. Proc. Contr., vol. 7, pp. 65-73, 1997.
4. W. L. Luyben, "Effect of derivative algorithm and tuning selection on the PID control of dead-time processes," Ind. & Eng. Chem. Res., vol.40, pp. 3605-3611, 2001.
5. H. Panagopoulos, K. J. Astrom, and T. Hagglund, "Design of PID controllers based on constrained optimization," IEEE Proc. Contr. Theory Appl., vol. 149, pp. 32-40, 2002.
6. S. Skogestad, "Simple analytic rules for model reduction and PID controller tuning," J. Proc. Contr., vol. 13, pp. 291-309, 2003.
7. K. J. Astrom and T. Hagglund, "Revisiting the Ziegler-Nichols step response method for PID control," J. Proc. Contr., in press, vol. 11, 2004.
8. K. J. Astrom, T. Hagglund, C. C. Hang, and W. K. Ho, "Automatic tuning and adaption for PID controllers- A survey," Contr. Eng. Pract., vol. 1, pp. 699-714, 1993.
9. P. Cominos and N. Munro, "PID controllers: recent tuning methods and design to specifications," IEEE Proc. Contr. Theory Appl., vol. 149, pp. 17-25, 2002.
10. M. Morari and E. Zafiriou, Robust Process Control. New Jersey: Prentice Hall, 1989.
11. S. Skogestad and I. Postelethwaite, Multivariable Feedback Control. New Jersey: Wiley, 1996.
12. T. E. Marlin, Process Control. New Jersey: McGraw Hill, 2000.
13. M. Arcak, A. R. Teel, and P. Kokotovic, "Robust nonlinear control of feedforward systems with unmodeled dynamics," Automatica, vol. 37, pp. 265-272, 2001.
14. N. H. El-Farra and P. D. Christofides, "Coordinating feedback and switching for control of hybrid nonlinear processes," AIChE Journal, vol. 49, pp. 2079-2098, 2003.
15. _, "Bounded robust control of constrained multivariabe nonlinear processes," Chem. Eng. Sci., vol. 58, pp. 3025-3047, 2003.
16. Y. Lin and E. D. Sontag, "A universal formula for stabilization with bounded controls," Syst. & Contr. Lett., vol. 16, pp. 393-397, 1991.
17. C. Antoniades and P. D. Christofides, "Feedback control of nonlinear differential difference equation systems," Chem. Eng. Sci., vol. 54, pp. 5677-5709, 1999.
18. R. Sepulchre, M. Jankovic, and P. Kokotovic, Constructive Nonlinear Control. Berlin-Heidelberg: Springer-Verlag, 1997.
19. R. A. Freeman and P. V. Kokotovic, Robust Nonlinear Control Design: State-Space and Lyapunov Techniques. Boston: Birkhauser, 1996.
20. H. K. Khalil, Nonlinear Systems, 2nd ed. New York, NY: Macmillan Publishing Company, 1996.
21. A. Isidori, Nonlinear Control Systems: An Introduction. Berlin-Heidelberg: Springer-Verlag., 2nd edition, 1989.
22. R. A. Wright, C. Kravaris, and N. Kazantzis, "Model based synthesis of nonlinear PI and PID controllers," AIChE J., vol. 47, pp. 1805-1818, 2001.
23. A. R. Benaskeur and A. Desbiens, "Backstepping-based adaptive PID control," IEEE Proc. Contr. Theory Appl., vol. 149, pp. 54-59, 2002.
24. R. H. Chang, W and J. Hsieh, "A self tuning PID control for a class of nonlinear systems based on the Lyapunov approach," J. Proc. Contr., vol. 12, pp. 233-242, 2002.
25. K. J. Astrom and T. Hagglund, "Automatic tuning of simple regulators with specification on the gain and phase margins," Automatica, vol. 20, pp. 645-651, 1984.