On LMI-based optimization of vibration and stability in rotor system design

Journal of Engineering for Gas Turbines and Power

Volumn 128, Issue 3, 2006, Pages 677-684

  Cole, Matthew O T ^a   Wongratanaphisan, Theeraphong ^a   Keogh, Patrick S ^b  

^a CHIANG MAI UNIVERSITY   (Thailand)

^b University of Bath   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DESIGN; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; STABILITY; STIFFNESS; TIME VARYING SYSTEMS; VIBRATIONS (MECHANICAL);

LINEAR MATRIX INEQUALITIES; ROTOR SYSTEM DESIGN; SYSTEM FREQUENCY; VIBRATION RESPONSE;

ROTORS;

DAMPING; DESIGN; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; ROTORS; STABILITY; STIFFNESS; TIME VARYING SYSTEMS; VIBRATIONS (MECHANICAL);

EID: 33746271922     PISSN: 07424795     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2135818     Document Type: Article

References (16)

1. Shiau, T. N., and Hwang, J. L., 1988, "Minimum Weight Design of a Rotor Bearing System With Multiple Frequency Constraints," ASME J. Eng. Gas Turbines Power, 110, pp. 592-599.
2. Shiau, T. N., and Chang, J. R., 1993, "Multi-Objective Optimization of Rotor-Bearing System With Critical Speed Constraints," ASME J. Eng. Gas Turbines Power, 115, pp. 246-255.
3. Chen, T. Y., and Wang, B. P., 1993, "Optimal Design of Rotor-Bearing System With Eigenvalue Constraints," ASME J. Eng. Gas Turbines Power, 115, pp. 256-260.
4. Huang, S. C., and Lin, C. A., 2002, "Sensitivity Analysis and Optimization of Undamped Rotor Critical Speeds to Supports Sfiffness," ASME J, Vibr. Acoust., 124(1), pp. 296-301.
5. Choi, B. K., and Yang, B. S., 2001, "Multiobjective Optimum Design of Rotor-Bearing Systems With Dynamic Constraints Using Immune-Genetic Algorithm," ASME J. Eng. Gas Turbines Power, 123, pp. 78-81.
6. Shiau, T. N., Kang, C. H., and Liu, D. S., 2004, "Optimization Combines the Genetic Algorithms With Augmented Lagrange Multiplier Method for Rotor-Bearing Systems Under Dynamic Behavior Constraints," Proceeding of ASME Turbo Expo 2004, Vienna, ASME, New York, ASME Paper No. GT2004-54058.
7. Angantyr, A., 2004, "Constrained Optimization of Rotor-Bearing Systems by Evolutionary Algorithms," Licentiate thesis, Lulea University of Technology, Sweden.
8. Angantyr, A., Andersson, J., and Aidanpää, J.-O., 2003, "Constrained Optimization Based on a Multiobjective Evolutionary Algorithm," Proceedings of Congress on Evolutionary Computation, Canberra, IEEE, Piscataway, NJ, pp. 1560-1567.
9. Boyd, S., El Ghaoui, L., Feron, E., and Balakrishnan, V., 1994, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia.
10. VanAntwerp, J., and Braatz, R. D., 2000, "A Tutorial on Linear and Bilinear Matrix Inequalities," J. Process Control, 10, pp. 363-385.
11. Cole, M. O. T., Keogh, P. S., and Burrows, C. R., 1998, "Vibration Control of a Flexible Rotor/Magnetic Bearing System Subject to Direct Forcing and Base Motion Disturbances," Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 212(7), pp. 535-546.
12. Sivrioglu, S., and Nonami, K., 1996, "LMI Approach to Gain Scheduled Control Beyond PID Control for Gyroscopic Rotor Magnetic Bearing System," Proceedings of 35th Conference on Decision and Control, Kobe, IEEE, Piscataway, NJ, pp. 3694-3699.
13. Fujimori, A., 2004, "Optimization of Static Output Feedback Using Substitutive LMI Formulation," IEEE Trans. Autom. Control, 49(6), pp. 995-999.
14. Cao, Y.-Y., Lam, J., and Sun, Y.-X., 1998, "Static Output Feedback Stabilization: An ILMI Approach," Automatica, 34(12), pp. 1641-1645.
15. Nelson, H. D., and McVaugh, J. M., 1976, "The Dynamics of Rotor-Bearing Systems Using Finite Elements," ASME J. Eng. Ind., 98, pp. 593-699.
16. Gahinet, G., Nemirovski, A., Laub, A. J., and Chilali, M., 1995, LMI Control Toolbox, The Mathworks, Inc.