Robust eigenvalue analysis using the structured singular value: The μ-p flutter method

AIAA Journal

Volumn 46, Issue 11, 2008, Pages 2806-2813

  Borglund, Dan ^a,b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b Division of Flight Dynamics   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

AEROELASTIC ANALYSES; BASIC PRINCIPLES; COMPLEX PLANES; EIGENVALUE; EIGENVALUE ANALYSIS; EIGENVALUES; EXTREME EIGENVALUES; FLIGHT CONDITIONS; FLUTTER ANALYSES; FLUTTER POINTS; NEW TECHNIQUES; STRUCTURED SINGULAR VALUES; SYSTEM UNCERTAINTIES; TUNNEL MODELS;

DAMPING; EIGENVALUES AND EIGENFUNCTIONS; FLUTTER (AERODYNAMICS); WIND TUNNELS;

UNCERTAINTY ANALYSIS;

EID: 55749090977     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.35859     Document Type: Article

References (28)

1. Lind, R., and Brenner, M., Robust Aeroservoelastic Stability Analysis, Springer-Verlag, London, 1999.
2. Lind, R., "Match-Point Solutions for Robust Flutter Analysis," Journal of Aircraft, Vol. 39, No. 1, 2002, pp. 91-99. doi:10.2514/2.2900
3. Zhou, K., Doyle, J. C., and Glover, K., Robust and Optimal Control, Prentice-Hall, Upper Saddle River, NJ, 1996, Chap, 11.
4. Borglund, D., "The μ-k Method for Robust Flutter Solutions," Journal of Aircrqft, Vol. 41, No. 5, 2004, pp. 1209-1216. doi:10.2514/1.3062
5. Borglund, D., "Upper-Bound Flutter Speed Estimation Using the μ-k Method," Journal of Aircraft, Vol. 42, No. 2, 2005, pp. 555-557. doi:10.2514/1.7586
6. Borglund, D., and Ringertz, U., "Efficient Computation of Robust Flutter Boundaries Using the μ-k Method," Journal of Aircraft, Vol. 43, No. 6, 2006, pp. 1763-1769. doi:10.2514/1.20190
7. Baldelli, D. H., Lind, R., and Brenner, M., "Robust Match-Point Solutions Using Describing Function Method," Journal of Aircraft, Vol. 42, No. 6, 2005, pp. 1596-1604. doi:10.2514/1.11853
8. Moulin, B., "Modeling of Aeroservoelastic Systems with Structural and Aerodynamic Variations," AIAA Journal, Vol. 43, No. 12, 2005, pp. 2503-2513. doi:10.2514/1.15023
9. Heinze, S., "Assessment of Critical Fuel Configurations Using Robust Flutter Analysis," Journal of Aircraft, Vol. 44, No. 6, 2007, pp. 2034-2039. doi:10.2514/1.30500
10. Heinze, S., and Borglund, D., "Robust Flutter Analysis Considering Mode Shape Variations," Journal of Aircraft, Vol. 45, No. 3, 2008, pp. 1070-1074. doi:10.2514/1.28728
11. Back, P., and Ringertz, U., "Convergence of Methods for Nonlinear Eigenvalue Problems," AIAA Journal, Vol. 35, No. 6, 1997, pp. 1084-1087. doi:10.2514/2.200
12. Chen, P. C., "Damping Perturbation Method for Flutter Solution: The g-Method," AIAA Journal, Vol. 38, No. 9, 2000, pp. 1519-1524. doi:10.2514/2.1171
13. Wilkinson, J. H., The Algebraic Eigenvalue Problem, Oxford Univ. Press, New York, 1965, Chap. 2.
14. Kuttenkeuler, J., and Ringertz, U., "Aeroelastic Design Optimization with Experimental Verification," Journal of Aircraft, Vol. 35, No. 3, 1998, pp. 505-507. doi:10.2514/2.2330
15. Becus, G. A., "Automated Search for the Most Critical Flutter Configuration in Models with Uncertainty," Mathematical and Computer Modelling, Vol. 14, 1990, pp. 977-982. doi:10.1016/0895-7177(90)90324-G
16. Zhou, K., Doyle, J. C., and Glover, K., Robust and Optimal Control, Prentice-Hall, Upper Saddle River, NJ, 1996, Chap. 10.
17. Zhou, K., Doyle, J. C., and Glover, K., Robust and Optimal Control, Prentice-Hall, Upper Saddle River, NJ, 1996, Chap. 2.
18. Young, P., Newlin, M., and Doyle, J., "Practical Computation of the Mixed μ Problem," Proceedings of the American Control Conference, Vol. 3, Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 1992, pp. 2190-2194.
19. Hayes, M. J., Bates, D. G., and Postlethwaite, I., "New Tools for Computing Tight Bounds on the Real Structured Singular Value," Journal of Guidance, Control, and Dynamics, Vol. 24, No. 6, 2001, pp. 1204-1213. doi:10.2514/2.4836
20. Balas, G., Chiang, R., Packard, A., and Safonov, M., MATLAB Robust Control Toolbox User's Guide, Release 2007a, The MathWorks, Inc., Natick, MA, 2007.
21. Gill, P. E., Murray, W., and Wright, M. H., Practical Optimization, Academic Press, London, 1981.
22. Kumar, A., and Balas, G. J., "An Approach to Model Validation in the μ Framework," Proceedings of the American Control Conference, Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 1994, pp. 3021-3026.
23. Brenner, M., "Aeroservoelastic Model Uncertainty Bound Estimation from Flight Data," Journal of Guidance, Control, and Dynamics, Vol. 25, No. 4, 2002, pp. 748-754.
24. Carlsson, M., and Karlsson, A., "Robust Aeroelastic Analysis of the Gripen Fighter Including Flight Test Model Validation," CEAS/AIAA/KTH International Forum on Aeroelasticity and Structural Dynamics (IFASD 2007), Royal Inst. of Technology Paper IF-019, Stockholm, Sweden, June 2007.
25. Borglund, D., and Kuttenkeuler, J., "Active Wing Flutter Suppression Using a Trailing Edge Flap," Journal of Fluids and Structures, Vol. 16, No. 3, 2002. pp. 271-294. doi:10.1006/jfls.2001.0426
26. Albano, E., and Rodden, W. P., "A Doublet-Lattice Method for Calculating Lift Distributions on Oscillating Surfaces in Subsonic Flows," AIM Journal, Vol. 7, No. 2, 1969, pp. 279-285. doi:10.2514/3.5086
27. Chen, P. C., Lee, H. W., and Liu, D. D., "Unsteady Subsonic Aerodynamics for Bodies and Wings with External Stores Including Wake Effect," Journal of Aircraft, Vol. 30, No. 5, 1993, pp. 618-628. doi:10.2514/3.46390
28. De Boor, C., A Practical Guide to Splines, Springer-Verlag, New York, 2001, Chap. 9.