Balanced model reduction and control of rotor-bearing systems

Journal of Engineering for Gas Turbines and Power

Volumn 119, Issue 2, 1997, Pages 456-463

  Gawronski, W K ^b  

^a Cleveland State University   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001328104     PISSN: 07424795     EISSN: 15288919     Source Type: Journal    
DOI: 10.1115/1.2815596     Document Type: Article

References (29)

1. Adams, M. L., and Padovan, J., 1981, “Insights Into Linearized Rotor Dynamics,“Journal of Sound and Vibration, Vol. 76(1), pp. 129-142.
2. Anderson, B. D. O., and Moore, J. B., 1990, Optimal Control, Prentice Hall, Englewood Cliffs, NJ.
3. Balas, M. J., 1978, “Feedback Control of Flexible Structures,” IEEE Transactions on Automatic Control, Vol. AC-23, pp. 673-679.
4. Bendat, J. S., and Piersol, A. G., 1993, Engineering Applications of Correlation and Spectral Analysis, Wiley, New York.
5. Blelioch, P. A., Mingori, D. L., and Wei, J. D., 1987, “Perturbation Analysis of Internal Balancing for Lightly Damped Mechanical Systems With Gyroscopic and Circulatory Forces,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 10, pp. 406-410.
6. Childs, D., 1975, “Two Jeffcott-Based Simulation Models for Flexible Rotating Equipment,” ASME Journal for Industry, Vol. 97, pp. 1000-1014.
7. Fan, G. W., Nelson, H. D., Crouch, P. E., and Mignolet, M. P., 1993, “LQG-Based Least-Squares Output Feedback Control of Rotor Vibrations Using the Complex Mode and Balanced Realization Methods,” ASME Journal of Engineering for Gas Turbines and Power, Vol. 115, pp. 314-323.
8. Gawronski, W., and Juang, J. N., 1990, “Model Reduction in Limited Time and Frequency Intervals,” International Journal of Systems Science, Vol. 21, pp. 349-376.
9. Gawronski, W., 1994, “A Balanced LQG Compensator for Flexible Structures,” Automatica, Vol. 30
10. Gawronski, W., and Sawicki, J. T., 1996, “Response Errors of Non-proportionally Lightly Damped Structures,” accepted for publication in Journal of Sound and Vibration.
11. Gawronski, W., 1996, Balanced Control of Flexible Structures, Lecture Notes in Control and Information Sciences 211, Springer-Verlag, London.
12. Genta, G., 1985, “Consistent Matrices in Rotor Dynamics,” Meccanica, Vol. 20, pp. 235-248.
13. Glasgow, D. A., and Nelson, H. D., 1980, “Stability Analysis of Rotor Bearing Systems Using Component Mode Synthesis,” ASME Journal of Mechanical Design, Vol. 102, pp. 352-359.
14. Gregory, Jr., C. Z., 1984, “Reduction of Large Flexible Spacecraft Models Using Internal Balancing Theory,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 7, pp. 725-732.
15. Jonckheere, A., and Silverman, L. M., 1983, “A New Set of Invariants for Linear Systems-Application to Reduced Order Controller Design,” IEEE Trans. Autom. Control, Vol. AC-28, pp. 953-964.
16. Jonckheere, A., 1984, “Principal Component Analysis of Flexible Systems-Open Loop Case,” IEEE Trans. Autom. Control, Vol. 27, pp. 1095-1097.
17. Kane, K., and Torby, B. J., 1991, “The Extended Modal Reduction Method Applied to Rotor Dynamic Problems,” ASME Journal of Vibration and Acoustics, Vol. 113, pp. 79-84.
18. Kwakernaak, H., and Sivan, R., 1972, Linear Optimal Control Systems, Wiley-Interscience, New York.
19. Li, D. F., and Gunter, E. J., 1982, “Component Mode Synthesis of Large Rotor Systems,” ASME Journal, of Engineering for Power, Vol. 104, pp. 525-532.
20. Maciejowski, J. M., 1989, Multivariable Feedback Design, Addison-Wesley, Wokingham, England.
21. Meirovitch, L., 1974, “A New Method of Solution of the Eigenvalue Problem for Gyroscopic Systems,” AIAA Journal, Vol. 12, pp. 1337-1342.
22. Moore, B. C., 1981, “Principal Component Analysis in Linear Systems, Controllability, Observability and Model Reduction,” IEEE Transactions on Auto-matic Control, Vol. 26, pp. 17-32.
23. Opdenacker, P., and Jonckheere, E. A., 1985, “LQG Balancing and Reduced LQG Compensation of Symmetric Passive Systems,” Int. J. Control, Vol. 41, No. 1, pp. 73-109, 1985.
24. Palazzolo, A. B., Lin, R. R., Kascak, A. F., and Alexander, R. M., 1989, “Active Control of Transient Rotordynamic Vibration by Optimal Control Methods,” ASME Journal of Engineering for Gas Turbines and Power, Vol. 111, pp. 264-270.
25. Rouch, K. E., and Kao, J. S., 1980, “Dynamic Reduction in Rotor Dynamics by the Finite Element Method,” ASME Journal of Mechanical Design, Vol. 102, pp. 360-368.
26. Salm, J., and Schweitzer, G., 1984, “Modelling and Control of a Flexible Rotor With Magnetic Bearings,” Proc. Conference on Vibrations in Rotating Machinery, York, United Kingdom, C277.
27. Skelton, R. E., 1988, Dynamic System Control: Linear System Analysis and Synthesis, Wiley, New York.
28. Tasaltin, R., 1992, “Active Vibration Control Strategies for a Flexible-Rotor Bearing System,” PhD Thesis, University of Bath, United Kingdom.
29. Williams, T., 1990, “Closed Form Grammians and Model Reduction for Flexible Space Structures,” IEEE Transactions on Automatic Control, Vol. 35, pp. 379-382.