Estimating nonlinearity using Volterra kernels in feedback with linear models

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 1, Issue , 2003, Pages 56-66

  Lind, Rick ^a   Prazenica, Richard J ^b   Brenner, Martin J ^b  

^a University of Florida   (United States)

^b NASA DRYDEN FLIGHT RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; AIRCRAFT; EQUIPMENT TESTING; FLIGHT DYNAMICS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; WIND TUNNELS; WINGS;

LINEAR MODELS; NONLINEAR PITCH PLUNGE SYSTEM; VOLTERRA KERNELS;

AEROSPACE ENGINEERING;

EID: 0042514853     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. Bedrosian, E. and Rice, S.O., "The Output Properties of Volterra Systems (Nonlinear Systems with Memory) Driven By Harmonic and Gaussian Inputs," Proceedings of the IEEE, Vol. 59, No. 12, 1971, pp. 1688-1707.
2. Boyd, S. and Chua, L.O., "Fading Memory and the Problem of Approximating Nonlinear Operators with Volterra Series," IEEE Transactions on Circuits and Systems, Vol. CAS-32, No. 11, 1985, pp. 1150-1161.
3. Bunton, R.W. and Denegri, C.M., "Limit Cycle Oscillation Characteristics of Fighter Aircraft," Journal of Aircraft, Vol. 37, No. 5, September-October 2000, pp. 916-918.
4. Chen, P.C., Sarhaddi, D. and Liu, D.D., "Limit Cycle Oscillation Studies of a Fighter with External Stores," AIAA-98-1727.
5. Denegri, C.M., "Limit Cycle Oscillation Flight Test Results of a Fighter with External Stores," Journal of Aircraft, Vol. 37, No. 5, September-October 2000, pp. 761-769.
6. Donovan, G., Geronimo, J., and Hardin, D., "Intertwining Multiresolution Analyses and the Construction of Piecewise-Polynomial Wavelets", SIAM Journal of Mathematical Analysis, Vol. 27, No. 6, Nov 1996, pp. 1791-1815.
7. Ko, J., Strganac, T.W. and Kurdila, A.J., "Stability and Control of a Structurally Nonlinear Aeroelastic System," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 5, September-October 1998, pp. 718-725.
8. Lee, Y.W. and Schetzen, M., "Measuring of the Weiner Kernels of a Non-Linear System by Cross-Correlation," International Journal of Control, Vol. 2, No. 3, 1965, pp. 237-254.
9. O'Neil, T. and Strganac, T.W., "Aeroelastic Response of a Rigid Wing Supported by Nonlinear Springs," Journal of Aircraft, Vol. 23, No. 4, July-August 1998, pp. 616-622.
10. Prazenica, R.J., "Wavelet-Based Volterra Series Representations of Nonlinear Dynamical Systems", Ph.D. Dissertation, University of Florida, Gainesville, FL, 2002.
11. Prazenica, R.J., Lind, R., and Kurdila, A.J., "Uncertainty Estimation from Volterra Kernels for Robust Flutter Analysis," Journal of Guidance, Control, and Dynamics, in review.
12. Reisenthel, P., "Prediction of Unsteady Aerodynamic Forces via Nonlinear Kernel Identification," International Forum on Aeroelasticity and Structural Dynamics, 1999.
13. Rugh, W.J., Nonlinear System Theory: The Volterra-Wiener Approach, John Wiley & Sons, 1980.
14. Schetzen, M., The Volterra and Wiener Theories of Nonlinear Systems, John Wiley & Sons, 1980.
15. Silva, W., "Application of Nonlinear Systems Theory to Transonic Unsteady Aerodynamic Responses," Journal of Aircraft, Vol. 30, No. 5, 1993, pp. 660-668.
16. Strganac, T.W., Ko, J., Thompson, D.E. and Kurdila, A.J., "Identification and Control of Limit Cycle Oscillations in Aeroelastic System," Journal of Guidance, Control, and Dynamics, Vol. 23, No. 6, November-December 2000, pp. 1127-1133.
17. Wemhoff, E., Packard, A. and Poolla, K., "On the Identification of Nonlinear Maps in a General Interconnected System," Proceedings of the American Control Conference, June 1999, pp. 3456-3461.
18. Wolodkin, G., Rangan, S. and Poolla, K., "An LFT Approach to Parameter Estimation," Proceedings of the American Control Conference, June 1997, pp. 2088-2092.