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TECHNICAL PAPERS

Robustness of Rotating Stall Control for Axial-Flow Compressors*

[+] Author and Article Information
Ali Tahmasebi, Xiang Chen

Department of Electrical and Computer Engineering, University of Windsor, Windsor, Ontario, Canada N9B 3P4

J. Dyn. Sys., Meas., Control 125(3), 424-428 (Sep 18, 2003) (5 pages) doi:10.1115/1.1589028 History: Received January 30, 2002; Revised December 27, 2002; Online September 18, 2003
Copyright © 2003 by ASME
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References

McCaughan,  F. E., 1990, “Bifurcation analysis of axial flow compressor stability,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math., 20, pp. 1232–1253.
Behnken, R. L., D’Andrea, R., and Murray, R. M., 1995, “Control of rotating stall in a low-speed axial flow compressor using pulsed air injection: Modeling, simulations, and experimental validation,” Proc. of 34th IEEE Conf. Dec. and Contr., 3056–3061.
Chen,  X., Gu,  G., Martin,  P., and Zhou,  K., 1998, “Rotating stall control via bifurcation stabilization,” Automatica, 34, 4, pp. 437–443.
Gu,  G., Chen,  X., Sparks,  A. G., and Banda,  S. S., 1999, “Bifurcation stabilization with local output feedback,” SIAM J. Control Optim., 37, No. 3, pp. 934–956.
Gravdahl, Jan T., and Egeland, O., Compressor surge and rotating stall: modeling and control, Springer, New York, 1999.
Xiao,  MingQing, and Basar,  Tamer, 2000, “Analysis and control of multi-mode axial flow compression system models,” ASME J. Dyn. Syst., Meas., Control, 122, pp. 393.
Wang, H. O., Adomaitis, R. A. and Abed, E. H., 1994, “Nonlinear analysis and control of rotating stall in axial flow compressors,” in American Control Conference, 2317–2321.
Chen,  X., Sparks,  A. G., Zhou,  K., and Gu,  G., 2001, “Local robustness of stationary bifurcation control,” Latin American Applied Research, 31, No. 3, pp. 163–170.
Moore,  F. K., and Greitzer,  E. M., 1986, “A theory of post-stall transients in axial compressors: Part I-development of the equations,” ASME J. Eng. Gas Turbines Power, 108, pp. 68–76.
Abed,  E. H., and Fu,  Jyun-Horng, 1986, “Local feedback stabilization and bifurcation control, II. Stationary bifurcation,” Syst. Control Lett., 8, pp. 467–473.
Wiggins, S., Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, New York, NY, 1990.
Kailath, T., Linear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1980.
Liaw,  D.-C., and Abed,  E. H., 1996, “Active control of compressor stall inception: A bifurcation theoretical approach,” Automatica, 32, pp. 109–116.

Figures

Grahic Jump Location
Nonlinear control system in robust consideration
Grahic Jump Location
Acceptable uncertainty region
Grahic Jump Location
Acceptable uncertainty region for controller u=kR.R=0.5R

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