Multivariable three-term optimal controller design for large-scale systems

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 940-945

  Davison, Edward J ^a   Davison, Daniel E ^b   Lam, Simon ^a  

^a UNIVERSITY OF TORONTO   (Canada)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

DESIGN; LARGE SCALE SYSTEMS; LINEAR CONTROL SYSTEMS; MIMO SYSTEMS; MULTIPLEXING EQUIPMENT;

ASYMPTOTIC REGULATION; ASYMPTOTIC TRACKING; CONSTANT DISTURBANCES; LINEAR TIME INVARIANT; MULTI INPUT MULTI OUTPUT SYSTEMS; MULTIVARIABLE CONTROL; OUTPUT FEEDBACK CONTROLLER; SERVOMECHANISM PROBLEM;

CONTROLLERS;

EID: 77950809467     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5399957     Document Type: Conference Paper

References (24)

1. K. K. Tan, Q. G. Wang, and C. C. Hang, Advances in PID Control. London: Springer, 1999.
2. A. Datta, M.-T. Ho, and S. P. Bhattacharyya, Structure and Synthesis of PID Controllers. New York: Springer, 2000.
3. M. T. Söylemez, N. Munro, and H. Baki, "Fast calculation of stabilizing PID controllers," Automatica, vol.39, no.1, pp. 121-126, 2003.
4. "Special issue on PID," in IEEE Control Syst. Mag., vol.26, no.1, February 2006.
5. L. H. Keel and S. P. Bhattacharyya, "Controller synthesis free of analytical models: Three terms controllers," IEEE Trans. Automat. Contr., vol.53, no.6, pp. 1353-1369, July 2008.
6. E. J. Davison and H. W. Smith, "Pole assignment in linear time invariant multivariable systems with constant disturbances," Automatica, vol.7, no.4, pp. 489-498, July 1971.
7. H. W. Smith and E. J. Davison, "The design of industrial regulators: integral feedback and feedforward control," Proc IEE, vol.119, no.8, pp. 1210-1216, August 1972.
8. E. J. Davison, "The feedforward control of linear multivariable time-invariant systems," Automatica, vol.9, no.5, pp. 561-573, September 1973.
9. -,E. J. Davison, "The feedforward and feedback control of a general servomechanism problem, part I," in 11th Annual Allerton Conference on Circuits & System Theory, October 1973, pp. 343-352.
10. -,E. J. Davison, "The feedforward and feedback control of a general servomechanism problem, part II," in 11th Annual Allerton Conference on Circuits & System Theory, October 1973, pp. 353-362.
11. Q. G. Wang, B. Zou, T. H. Lee, and Q. Bi, "Auto-tuning of multivariable PID controllers from decentralized relay feedback," Automatica, vol.33, no.3, pp. 319-330, 1997.
12. H. Seraji and M. Tarokh, "Design of PID controllers for multivariable systems," Int. J. of Control, vol.26, no.1, pp. 75-83, 1977.
13. S. Fukata, A. Mohri, and M. Takata, "On the determination of the optimal feedback gains for multivariable linear systems incorporating integral action," Int. J. of Control, vol.31, no.6, pp. 1027-1040, June 1980.
14. J. Medanić and Z. Uskoković, "The design of optimal output regulators for linear multivariable systems with constant disturbances," Int. J. of Control, vol.37, no.4, pp. 809-830, 1983.
15. F. Zheng, Q. G. Wang, and T. H. Lee, "On the design of multivariable PID controllers via LMI approach," Automatica, vol.28, no.3, pp. 517-526, 2002.
16. C. Lin, Q. G. Wang, and T. H. Lee, "An improvement on multivariable PID controller design via iterative LMI approach," Automatica, vol.40, no.3, pp. 519-525, 2004.
17. E. J. Davison, "Multivariable tuning regulators: the feedforward and robust control of a general servomechanism problem," IEEE Trans. Automat. Contr., vol.AC-21, no.1, pp. 35-47, February 1976.
18. E. J. Davison and I. Ferguson, "The design of controllers for the multivariable robust servomechanism problems using parameter optimization methods," IEEE Trans. Automat. Contr., vol.AC-26, no.1, pp. 93-110, February 1981.
19. E. J. Davison and T. N. Chang, "Decentralized controller design using parameter optimization methods," Control: Theory and Advanced Technology, Special Issue on Large Scale and Complex Systems, vol.2, no.2, pp. 131-154, June 1986, (invited paper).
20. E. J. Davison and A. Goldenberg, "The robust control of a general servomechanism problem: the servo compensator," Automatica, vol.11, pp. 461-471, 1975.
21. D. E. Davison and E. J. Davison, "Optimal transient response shaping of the servomechanism problem," J. Optimization Theory & Applications (JOTA), vol.115, no.3, pp. 491-515, December 2002.
22. L. Qiu, B. Bernhardsson, A. Rantzer, E. J. Davison, P. M. Young, and J. C. Doyle, "A formula for computation of the real stability radius," Automatica, vol.31, no.6, pp. 879-890, 1996.
23. T. J. Williams and R. E. Otto, "A generalized chemical model for the investigation of computer control," AIEE Trans. Part I (Comm. & Electronics), vol.79, pp. 458-473, November 1960.
24. E. J. Davison, "Control of a distillation column with pressure variation," Trans. Instn. Chem. Engineering, vol.45, no.6, pp. 228-250, 1967.