Adaptive Control of Aircraft Wing Oscillations with Stiffness and Damping Nonlinearities in Pitching Mode

  • L. Prabhu
  • J. Srinivas
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 701)


This paper presents an adaptive control strategy for aircraft wing structure based on a nonlinear aeroelastic model with plunge and pitch degrees of freedom. System nonlinearities in terms of pitching degree of freedom are accounted in stiffness and damping terms of the model. The closed-loop response of the model is studied under two cases: (i) polynomial form of nonlinearities and (ii) combined free play and polynomial form of nonlinearities. The adaptive control strategy with wing flap based on partial feedback linearization is designed to suppress the instabilities occurring at certain freestream velocities. Objective of controller is to stabilize the system within the flutter boundary. A neural network based observer is used to estimate the uncertain parameters in control law. The designed control system with neural network estimator is effective in suppressing the limit cycle oscillations considerably.


  1. 1.
    Fung, Y.C.: An Introduction to the Theory of Aeroelasticity. Dover Publications, Inc (2008)Google Scholar
  2. 2.
    Woolston, D.S.: An investigation of effects of certain types of structural nonlinearities on wing and control surface flutter. J. Aeronaut. Sci. 24, 57–63 (1957)CrossRefGoogle Scholar
  3. 3.
    Xu, X., Gao, Y., Zhang, W.: Aeroelastic dynamic response and control of an aeroelastic system with hysteresis nonlinearities. J. Control Sci. Eng. (2015)Google Scholar
  4. 4.
    Ko, J., Kurdila, A., Strganac, T., Ko, J., Kurdila, A., Strganac, T.: Nonlinear control theory for a class of structural nonlinearities in a prototypical wing section. In: 35th Aerospace Sciences Meeting and Exhibit. AIAA Paper 97–0580. American Institute of Aeronautics and Astronautics, Reno, Nevada (1997)Google Scholar
  5. 5.
    Ko, J., Kurdila, A., Stragnac, T., Ko, J., Kurdila, A., Stragnac, T.: Nonlinear dynamics and control for a structurally nonlinear aeroelastic system. In: 38th Structures, Structural Dynamics, and Materials Conference. AIAA Paper 97–1024. American Institute of Aeronautics and Astronautics, Kissimmee, FL, USA (1997)Google Scholar
  6. 6.
    Monahemi, M.M., Krstic, M.: Control of wing rock motion using adaptive feedback linearization. J. Guid. Control Dyn. 19, 905–912 (1996)CrossRefGoogle Scholar
  7. 7.
    Li, N., Balas, M.J.: Aeroelastic vibration suppression of a rotating wind turbine blade using adaptive control. In: 32nd ASME Wind Energy Symposium. American Institute of Aeronautics and Astronautics (2014)Google Scholar
  8. 8.
    Ko, J., Strganac, T.W., Kurdila, A.J.: Adaptive feedback linearization for the control of a typical wing section with structural nonlinearity. Nonlinear Dyn. 18, 289–301 (1999)CrossRefGoogle Scholar
  9. 9.
    Strganac, T.W., Ko, J., Thompson, D.E.: Identification and control of limit cycle oscillations in aeroelastic systems. J. Guid. Control Dyn. 23, 1127–1133 (2000)CrossRefGoogle Scholar
  10. 10.
    Platanitis, G., Strganac, T.W.: Control of a nonlinear wing section using leading- and trailing-edge surfaces. J. Guid. Control Dyn. 27, 52–58 (2004)CrossRefGoogle Scholar
  11. 11.
    Block, J.J., Strganac, T.W.: Applied active control for a nonlinear aeroelastic structure. J. Guid. Control Dyn. 21, 838–845 (1998)CrossRefGoogle Scholar
  12. 12.
    Wang, Z., Behal, A., Marzocca, P.: Adaptive and robust aeroelastic control of nonlinear lifting surfaces. Int. J. Aeronaut. Space Sci. 11, 285–302 (2010)Google Scholar
  13. 13.
    Chen, C.-L., Chang, C.-W., Yau, H.-T.: Terminal sliding mode control for aeroelastic systems. Nonlinear Dyn. 70, 2015–2026 (2012)MathSciNetCrossRefGoogle Scholar
  14. 14.
    Gujjula, S., Singh, S.N., Yim, W.: Adaptive and neural control of a wing section using leading- and trailing-edge surfaces. Aerosp. Sci. Technol. 9, 161–171 (2005)CrossRefGoogle Scholar
  15. 15.
    Prabhu, L., Srinivas, J.: Robust control of a three degrees of freedom aeroelastic model using an intelligent observer. In: 2015 International Conference on Robotics, Automation, Control and Embedded Systems (RACE), pp. 1–5, Chennai, India (2015)Google Scholar
  16. 16.
    Li, D., Xiang, J., Guo, S.: Adaptive control of a nonlinear aeroelastic system. Aerosp. Sci. Technol. 15, 343–352 (2011)CrossRefGoogle Scholar
  17. 17.
    Schalkoff, R.J.: Artificial Neural Networks. Tata McGraw-Hill Education, New Delhi (2011)zbMATHGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringNational Institute of TechnologyRourkelaIndia

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