Stability and control of a structurally nonlinear aeroelastic system

Journal of Guidance, Control, and Dynamics

Volumn 21, Issue 5, 1998, Pages 718-725

  Ko, Jeonghwan ^a   Strganac, Thomas W ^a   Kurdila, Andrew J ^b  

^a Texas AandM University   (United States)

^b UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); CLOSED LOOP CONTROL SYSTEMS; CONTROL NONLINEARITIES; CONTROL SYSTEM ANALYSIS; EQUATIONS OF MOTION; FEEDBACK; LINEARIZATION; SYSTEM STABILITY;

HOPF BIFURCATION; PITCHFORK BIFURCATION; STRUCTURALLY NONLINEAR AEROELASTIC SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 0032166295     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/2.4317     Document Type: Article

References (22)

1. Tang, D. M., and Dowell, E. H., "Flutter and Stall Response of a Helicopter Blade with Structural Nonlinearity," Journal of Aircraft, Vol. 29, No. 5, 1992, pp. 953-960.
2. Conner, M. D., Tang, D. M., Dowell, E. H., and Virgin, L. N.,"Nonlinear Behavior of a Typical Airfoil Section with Control Surface Freeplay: A Numerical and Experimental Study," Journal of Fluids and Structures, Vol. 11, No. 1, 1997, pp. 89-109.
3. Dowell, E. H., Aeroelasticity of Plates and Shells, Noordhoff International, Leyden, The Netherlands, 1975, pp. 38-43.
4. Pak, C., Friedmann, P. P., and Livne, E., "Digital Adaptive Flutter Suppression and Simulations Using Approximate Transonic Dynamics," Journal of Vibration and Control, Vol. 1. No. 4, 1995, pp. 363-388.
5. Friedmann, P. P., Guillot, D., and Presente, E., "Adaptive Control of Aeroelastic Instabilities in Transonic Flow and Its Scaling," Journal of Guidance, Control, and Dynamics, Vol. 20, No. 6, 1997, pp. 1190-1199.
6. Ko, J., Kurdila, A. J., and Strganac, T. W., "Nonlinear Control of a Prototypical Wing Section with Torsional Nonlinearity," Journal of Guidance, Control, and Dynamics, Vol. 20, No. 6, 1997, pp. 1181-1189.
7. O'Neil, T., Gilliatt, H. C., and Strganac, T. W., "Investigations of Aeroelastic Response for a System with Continuous Structural Nonlinearity," AIAA Paper 96-1390, April 1996.
8. Fung, Y. C., An Introduction to the Theory of Aeroelasticity, Wiley, New York, 1955, pp. 207-215.
9. Lazarus, K., Crawley, E., and Lin, C. Y., "Fundamental Mechanisms of Aeroelastic Control with Control Surface and Strain Actuation," Journal of Guidance, Control, and Dynamics, Vol. 18. No. 1, 1995, pp. 10-17.
10. Slotine, J. E., and Li, W., Applied Nonlinear Control, Prentice-Hall, Englewood Cliffs, NJ, 1991, pp. 207-275.
11. Isidori, A., Nonlinear Control Systems, Springer-Verlag, New York, 1989, pp. 1-82.
12. Zhao, L. C., and Yang, Z. C., "Chaotic Motions of an Airfoil with Nonlinear Stiffness in Incompressible Flow," Journal of Sound and Vibration, Vol. 138, No. 2, 1990, pp. 245-254.
13. Block, J. J., and Strganac, T. W., "Applied Active Control for a Nonlinear Aeroelastic Structure," Journal of Guidance, Control, and Dynamics (to be published).
14. O'Neil, T., and Strganac, T. W., "An Experimental Investigation of Nonlinear Aeroelastic Response," Journal of Aircraft, Vol. 35, No. 4, 1998.
15. O'Neil, T., and Strganac, T. W., "Nonlinear Aeroelastic Response - Analyses and Experiments," AIAA Paper 96-0014, Jan. 1996.
16. Virgin, L. N., and Erickson, B. K., "A New Approach to the Overturning Stability of Floating Structures," Ocean Engineering, Vol. 21, No. 1, 1994, pp. 67-80.
17. Nayfeh, A. H., and Mook, D. T., Nonlinear Oscillations, Wiley, New York, 1978, pp. 75-102.
18. Dowell, E. H., and Pezeshki, C., "On the Understanding of Chaos in Duffings Equations Including a Comparison with Experiment," Journal of Applied Mechanics, Vol. 53, March 1986, pp. 5-9.
19. Guckenheimer, J., and Holmes, P., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag, New York, 1983, pp. 123-145.
20. Wiggins, S., Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, New York, 1990, pp. 193-237.
21. La Salle, J., and Lefschetz, S., Stability by Liapunov's Direct Method, Academic, New York, 1961, pp. 56-71.
22. Ko, J., Strganac, T. W., and Kurdila, A. J., "Adaptive Feedback Linearization for the Control of a Typical Wing Section with Structural Nonlinearity," Nonlinear Dynamics (to be published).