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http://dx.doi.org/10.5139/IJASS.2012.13.2.210

A Continuous Robust Control Strategy for the Active Aeroelastic Vibration Suppression of Supersonic Lifting Surfaces  

Zhang, K. (Department of EECS at the University of Central Florida)
Wang, Z. (Department of EECS at the University of Central Florida)
Behal, A. (Department of EECS and NanoScience Technology Center at the University of Central Florida)
Marzocca, P. (Mechanical and Aeronautical Engineering at Clarkson University)
Publication Information
International Journal of Aeronautical and Space Sciences / v.13, no.2, 2012 , pp. 210-220 More about this Journal
Abstract
The model-free control of aeroelastic vibrations of a non-linear 2-D wing-flap system operating in supersonic flight speed regimes is discussed in this paper. A novel continuous robust controller design yields asymptotically stable vibration suppression in both the pitching and plunging degrees of freedom using the flap deflection as a control input. The controller also ensures that all system states remain bounded at all times during closed-loop operation. A Lyapunov method is used to obtain the global asymptotic stability result. The unsteady aerodynamic load is considered by resourcing to the non-linear Piston Theory Aerodynamics (PTA) modified to account for the effect of the flap deflection. Simulation results demonstrate the performance of the robust control strategy in suppressing dynamic aeroelastic instabilities, such as non-linear flutter and limit cycle oscillations.
Keywords
Nonlinear aeroelastic control; model-free control; robust and neural control; Supersonic aerodynamic;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Zhang, X., Behal, A., Dawson, D.M., and Xian, B., "Output Feedback Control for a Class of Uncertain MIMO Nonlinear Systems With Non-Symmetric Input Gain Matrix", in Proc. of IEEE Conference on Decision and Control, Seville, Spain, pp. 7762-7767, 2005.
2 Chen, J., Behal, A., and Dawson, D.M, "Robust Feedback Control for a Class of Uncertain MIMO Nonlinear Systems", IEEE Transactions on Automatic Control, vol. 53, no. 2, pp. 591-596, Mar. 2008.   DOI   ScienceOn
3 Xian, B., Dawson, D. M., "de Queiroz, M. S., and Chen, J., A Continuous Asymptotic Tracking Control Strategy for Uncertain Nonlinear Systems", IEEE Transactions on Automatic Control, vol. 49, no. 7, Jul. 2004, pp. 1206-1211.   DOI   ScienceOn
4 Ashley, H. and Zartarian, G., "Piston Theory - A New Aerodynamic Tool for the Aeroelastician", Journal of the Aerospace Sciences, vol. 23, no. 10, 1956, pp. 1109-1118.
5 Lighthill, M.J., "Oscillating Airfoils at High Mach Numbers", Journal of Aeronautical Science, vol. 20, no. 6, 1953, pp. 402-406.   DOI
6 Liu, D.D., Yao, Z.X., Sarhaddi, D., and Chavez, F.R., "From Piston Theory to a Unified Hypersonic-Supersonic Lifting Surface Method", Journal of Aircraft, vol. 34, no. 3, pp. 304-312, 1997.   DOI   ScienceOn
7 Rodden, W.P., Farkas, E.F., Malcom, H.A., and Kliszewski, A.M., Aerodynamic Influence Coefficients from Piston Theory: Analytical Development and Computational Procedure, Aerospace Corporation, TDR-169 (3230-11) TN-2, 1962.
8 Librescu, L., Chiocchia, G., Marzocca, P., "Implications of Cubic Physical/Aerodynamic Nonlinearities on the Character of the Flutter Instability Boundary", International Journal of Nonlinear Mechanics, 38, pp. 173-199, March 2003.   DOI   ScienceOn
9 Reddy, K.K., Chen, J., Behal, A., and Marzocca, P., "Multi-Input/Multi-Output Adaptive Output Feedback Control Design for Aeroelastic Vibration Suppression", Journal of Guidance, Control, and Dynamics, vol. 30, no. 4, pp. 1040-1048, July-August 2007.   DOI   ScienceOn
10 Wang, Z., Behal, A., and Marzocca, P., "Adaptive and Robust Aeroelastic Control of Nonlinear Lifting Surfaces with Single/Multiple Control Surfaces: A Review", International Journal of Aeronautical and Space Science, vol. 11, no. 4, pp. 285-302, December 2010.   DOI   ScienceOn
11 Wang, Z., Behal, A., and Marzocca, P., "Robust Adaptive Output Feedback Control Design for a MIMO Aeroelastic System", International Journal of Aeronautical and Space Science, vol. 12, no. 2, pp. 157-167, June 2011.
12 Zeng, J., Wang, J., de Callafon, R., and Brenner, M., "Suppression of the Aeroelastic/Aeroservoelastic Interaction Using Adaptive Feedback Control Instead of Notching Filters", AIAA Atmospheric Flight Mechanics Conference, Portland, OR, 2011.
13 Wang, Z., Behal, A., and Marzocca, P., "Continuous Robust Control for Two-Dimensional Airfoils with Leadingand Trailing-Edge Flaps", Journal of Guidance, Control, and Dynamics, vol. 35, no. 2, pp. 510-519, March-April 2012.   DOI   ScienceOn
14 Zhang, F. and Söffker, D., "Quadratic Stabilization of a Nonlinear Aeroelastic System Using a Novel Neural-Networkbased controller", Science China Technological Sciences, vol. 54, no. 5, pp. 1126-1133, May 2011.   DOI   ScienceOn
15 Wang, Z., Behal, A., Marzocca, P., "Model-Free Control Design for MIMO Aeroelastic System Subject to External Disturbance", J. of Guidance Control and Dynamics, vol. 34, pp. 446-458, 2011.   DOI   ScienceOn
16 Pak, C., Friedmann, P.P, and Livne, E., "Digital Adaptive Flutter Suppression and Simulation Using Approximate Transonic Aerodynamics", Journal of Vibration and Control, vol. 1, no. 4, Nov. 1995, pp. 363-388.   DOI
17 Rao, V. M., Behal, A., Marzocca, P., Rubillo, C.M., "Adaptive aeroelastic Vibration Suppression of a Supersonic Airfoil with Flap", J. Aerospace Science and Technology, vol. 10, Issue 4, pp. 309--315, May 2006.   DOI   ScienceOn
18 Librescu, L., "Aeroelastic Stability of Orthotropic Heterogeneous Thin Panels in the Vicinity of the Flutter Critical Boundary, Part One: Simply supported panels", Journal de Mecanique, Part I, vol. 4, no. 1, pp. 51-76, 1965.
19 Librescu, L., Aeroelastic Stability of Orthotropic Heterogeneous Thin Panels in the Vicinity of the Flutter Critical Boundary, Part Two Journal de Mecanique, Part II, vol. 6, no. 1, pp. 133-152, 1967.
20 Ko., J., Strganac, T.W., and Kurdila, A.J., "Adaptive Feedback Linearization for the Control of a Typical Wing Section with Structural Non-linearity", Non-linear Dynamics, vol. 18 pp. 289-301, 1999.   DOI
21 Xing, W. and Singh, S.N., "Adaptive Output Feedback Control of a Non-linear Aeroelastic Structure", J. Guidance, Control and Dynamics, vol. 23, no. 6, pp. 1109-1116, 2000.   DOI   ScienceOn
22 Zhang, R. and Singh, S.N., "Adaptive Output Feedback Control of an Aeroelastic System with Unstructured Uncertainties", J. Guidance, Control, and Dynamics, vol. no. 3, pp. 502-509, 2001.
23 Singh, S.N. and Wang, L., "Output Feedback form and Adaptive Stabilization of a Non-linear Aeroelastic System", J. Guidance, Control and Dynamics, vol. 25, no. 4, pp. 725-732, 2002.   DOI   ScienceOn
24 Behal, A., Marzocca, P., Rao V.M., Gnann, A., "Nonlinear adaptive Model Free Control of an Aeroelastic 2-D Lifting Surface", Journal of Guidance, Control and Dynamics, 29(2), pp. 382-390, March-April 2006.   DOI
25 Marzocca, P., Librescu L.,Silva W.A., "Flutter, Postflutter and Control of a Supersonic 2-D Lifting Surface", Journal of Guidance, Control, and Dynamics, vol. 25, no. 5, pp. 962-970, September - October 2002.   DOI   ScienceOn
26 Behal, A., Rao, V. M., Marzocca, P., and Kamaludeen, M., "Adaptive Control for a Nonlinear Wing Section with Multiple Flaps", Journal of Guidance, Control, and Dynamics, vol. 29, no. 3, pp. 744-749, May-June 2006.   DOI   ScienceOn
27 Librescu, L., Marzocca, P., and Silva, W.A., "Supersonic/ Hypersonic Flutter and Post-flutter of Geometrically Imperfect Circular Cylindrical Panels", Journal of Spacecraft and Rockets, Vol. 39, No. 5, 2002, pp. 802-812.   DOI   ScienceOn
28 Mukhopadhyay, V., "Benchmark Active Control Technology", Journal of Guidance, Control, and Dynamics, Part I 23 (2000) 913-960.
29 Breitbach, E.J., Effects of Structural Non-linearities on Aircraft Vibration and Flutter, AGARD TR-665, North Atlantic Treaty Organization, Neuilly sur Seine, France, 1978.
30 Librescu, L., "Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures", Aeroelastic Stability of Anisotropic Multilayered Thin Panels, 1st ed., Book series, edited by Leipholz, H., Noordhoff International Publishing, Leyden, The Netherlands, 1975, Chapter 1, pp. 53-63, 106-158, Appendix A, pp. 543-550.
31 Mukhopadhyay, V., "Benchmark Active Control Technology", Journal of Guidance, Control, and Dynamics, Part III 24 (2001) 146-192.   DOI   ScienceOn
32 Dowell, E.H., and Ilgamov, M., Studies in non-linear Aeroelasticity, 1st ed., Springer-Verlag, New York, 1988, Chapter 2, pp. 29-63, Chapter 6, pp. 206-277.
33 Thuruthimattam, B.J., Friedmann, P.P., McNamara, J.J., and Powell, K.G., "Aeroelasticity of a Generic Hypersonic Vehicle", 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA Paper no. 2002-1209, April 2002.
34 Hornik, K., Stinchombe, M. and White, H., "Multilayer Feedforward Networks are Universal Approximators", J. Neural Networks, vol. 2, pp. 359-366, March 1989.   DOI   ScienceOn
35 Krstic, M., Kanellakopoulos, I., and Kokotovic, P., Nonlinear and Adaptive Control Design, John Wiley & Sons, New York, 1995.
36 Mukhopadhyay, V., "Benchmark Active Control Technology", Journal of Guidance, Control, and Dynamics, Part II 23 (2000) 1093-1139.   DOI   ScienceOn