Useful nonlinearities and global stabilization of bifurcations in a model of jet engine surge and stall

IEEE Transactions on Automatic Control

Volumn 43, Issue 12, 1998, Pages 1739-1745

  Krstić, Miroslav ^a   Fontaine, Dan ^b   Kokotović, Petar V ^b   Paduano, James D ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b University of California   (United States)

^c Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

Axial flow compressors; Backstepping; Bifurcation control; Jet engines; Rotating stall; Surge

Indexed keywords

BIFURCATION (MATHEMATICS); FEEDBACK CONTROL; JET ENGINES; LYAPUNOV METHODS; MATHEMATICAL MODELS; SYSTEM STABILITY;

AXIAL FLOW COMPRESSOR; BACKSTEPPING; ROTATING STALL; SURGE;

CONTROL NONLINEARITIES;

EID: 0032290723     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.736075     Document Type: Article

References (19)

1. E. H. Abed and J.-H. Fu, "Local feedback stabilization and bifurcation control, I. Hopf bifurcation," Syst. Contr. Lett., vol. 7, pp. 11-17, 1986.
2. _,"Local feedback stabilization and bifurcation control - II: Stationary bifurcation," Syst. Contr. Lett., vol. 8, pp. 467-473, 1987.
3. O. O. Badmus, S. Chowdhury, K. M. Eveker, C. N. Nett, and C. J. Rivera, "A simplified approach for control of rotating stall - Parts I and II," in Proc. 29th Joint Propulsion Conf., Monterey CA, AIAA papers 93-2229 and 93-2234, June 1993.
4. O. O. Badmus, C. N. Nett, and F. J. Schork, "An integrated, full-range surge control/rotating stall avoidance compressor control system," in Proc. 1991 ACC, pp. 3173-3180.
5. J. Baillieul, S. Dahlgren, and B. Lehman "Nonlinear control designs for systems with bifurcations with applications to stabilization and control of compressors," in Proc. 14th IEEE Conf. Control Applications, 1995, pp. 3062-3067.
6. R. L. Behnken, R. D'Andrea, and R. M. Murray, "Control of rotating stall in a low-speed axial flow compressor using pulsed air injection: Modeling, simulations, and experimental validation," in Proc. 34th IEEE Conf. Decision and Control, 1995, pp. 3056-3061.
7. K. M. Eveker, D. L. Gysling, C. N. Nett, and O. P. Sharma, "Integrated control of rotating stall and surge in aeroengines," SPIE Conf. Sensing, Actuation, and Control in Aeropropulsion, Orlando, FL, Apr. 1995.
8. R. A. Freeman and P. V. Kokotović, Robust Nonlinear Control Design. Boston, MA: Birkhäuser, 1996.
9. E. M. Greitzer, "Surge and rotating stall in axial flow compressors - Parts I and II," J. Engineering for Power, pp. 190-217, 1976.
10. _, "The stability of pumping systems - The 1980 Freeman Scholar lecture," ASME J. Fluid Dynamics, pp. 193-242, 1981.
11. Z. P. Jiang, A. R. Teel, and L. Praly, "Small-gain theorem for ISS systems and applications," Math. Contr., Signals, and Syst., vol. 7, pp. 95-120, 1995.
12. M. Krstić, I. Kanellakopoulos, and P. V. Kokotović, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
13. M. Krstić, J. M. Protz, J. D. Paduano, and P. V. Kokotović, "Backstepping designs for jet engine stall and surge control," in Proc. 34th IEEE Conf. Decision and Control, 1995.
14. D. C. Liaw and E. H. Abed, "Active control of compressor stall inception: A bifurcation-theoretic approach," Automatica, vol. 32, pp. 109-115, 1996,
15. also in Proc. IFAC Nonlinear Contr. Syst. Design Symp., Bordeaux, France, June 1992.
16. F. E. McCaughan, "Bifurcation analysis of axial flow compressor stability," SIAM J. Appl. Math., vol. 20, pp. 1232-1253, 1990.
17. F. K. Moore and E. M. Greitzer, "A theory of post-stall transients in axial compression systems - Part I: Development of equations," J. Eng. Gas Turbines and Power, vol. 108, pp. 68-76, 1986.
18. J. D. Paduano, L. Valavani, A. H. Epstein, E. M. Greitzer, and G. R. Guenette, "Modeling for control of rotating stall," Automatica, vol. 30, pp. 1357-1373, 1966.
19. R. Sepulchre, M. Janković, and P. V. Kokotović, Constructive Nonlinear Control. New York: Springer-Verlag, 1997.