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TECHNICAL BRIEFS

Using Controller Reduction Techniques for Efficient PID Controller Synthesis

[+] Author and Article Information
Ukpai I. Ukpai

Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123

Suhada Jayasuriya

Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123

J. Dyn. Sys., Meas., Control 126(3), 692-696 (Dec 03, 2004) (5 pages) doi:10.1115/1.1790541 History: Received December 26, 2003; Online December 03, 2004
Copyright © 2004 by ASME
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References

Keel,  L. H., and Bhattacharyya,  S. P., 1997, “Robust, Fragile or Optimal?” IEEE Trans. Autom. Control, AC-42, pp. 1098–1105.
Nwokah, O. D. I., Ukpai, U. I., Gastineau, Z., and Happawana, G. S., 1997, “Catastrophes in Modern Optimal Controllers,” in Proceedings of the American Control Conference, Albuquerque, NM.
Nwokah,  O. D. I., Borzova,  E., Happawana,  G. S., and Afolabi,  D., 1999, “Catastrophes in Optimal Control,” J. Dyn. Syst., Meas., Control, 121, pp. 577–582.
Nwokah,  O. D. I., Happawana,  G. S., and Afolabi,  D., 1999, “The Design of Quality Engineered Control Systems,” J. Dyn. Syst., Meas., Control, 121, pp. 583–593.
Moore,  B. C., 1981, “Principal Component Analysis in Linear Systems: Controllability, Observability, and Model Reduction,” IEEE Trans. Autom. Control, AC-26, pp. 17–32.
Pernebo,  L., and Silverman,  L. M., 1982, “Model Reduction via Balanced State Space Representations,” IEEE Trans. Autom. Control, AC-27, pp. 382–387.
Enns, D. F., 1984, “Model Reduction With Balanced Realizations: An Error Bound and a Frequency Weighted Generalization,” in Proceedings of the 23rd Conference on Decision and Control, No. 1, Las Vegas, NV, pp. 127–132.
Gawronski, W., and Juang, J.-N., 1990, “Model Reduction for Flexible Structures,” Advances in Large Scale Systems Dynamics, Academic Press, San Diego, CA, Vol. 36, pp. 143–222.
Doyle,  J. C., and Stein,  G., 1981, “Multivariable Feedback Design: Concepts for a Classical/Modern Synthesis,” IEEE Trans. Autom. Control, AC-26, pp. 4–16.
Anderson,  B. D. O., and Liu,  Yi, 1989, “Controller Reduction: Concepts and Approaches,” IEEE Trans. Autom. Control, 34, pp. 802–812.
Nwokah,  O. D. I., Jayasuriya,  S., and Chait,  Y., 1992, “Parametric Robust Control by Quantitative Feedback Theory,” AIAA J., 15, pp. 207–214.
Ukpai, U. I., 2002, “Quantitative Feedback Design of PID Controllers,” Ph.D. dissertation, Department of Mechanical Engineering, Texas A&M University, College Station, TX.

Figures

Grahic Jump Location
Two controllers with similar low frequency asymptotes
Grahic Jump Location
Compensated Bode plot of illustrative example
Grahic Jump Location
Plot of reduction indices for several iterations
Grahic Jump Location
Unit step response plots for uncompensated, QFT-controller compensated and PID-controller compensated uncertain plant

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