Limit cycle oscillation in aeroelastic systems and its adaptive fractional-order fuzzy control

  • Guanjun Li
  • Jinde CaoEmail author
  • Ahmed Alsaedi
  • Bashir Ahmad
Original Article


Alaeroelastic system is a complex system which can produce limit cycles oscillation. In this paper, an adaptive fractional-order fuzzy controller is presented to suppress flutter in an alaeroelastic system. The studied system is a kind of nonlinear system with two freedoms (the plunge displacement and the pitch angle). A terminal sliding mode control is proposed, the fuzzy system parameters are updated by fractional-order differential equations and the stability of the closed-loop system is discussed by means of Lyapunov stability theory. Finally, numerical simulations are demonstrated to verify the effectiveness of proposed method.


Alaeroelastic system Limit cycle oscillation Terminal sliding mode control Adaptive fractional-order fuzzy control 



This work is supported by the National Natural Science Foundation of China (Grant No. 61403157), the Natural Science Foundation for the Higher Education Institutions of Anhui Province of China (Grant No. KJ2016A665), the Foundation for Distinguished Young Talents in Higher Education of Anhui of China (Grant No. GXFXZD2016204), and the Natural Science Foundation of Huainan Normal University (Grant No. 2014XK19ZD, 2016xj52 ).


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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  • Guanjun Li
    • 1
    • 2
  • Jinde Cao
    • 2
    • 3
    Email author
  • Ahmed Alsaedi
    • 4
  • Bashir Ahmad
    • 4
  1. 1.Department of Applied MathematicsHuainan Normal UniversityHuainanChina
  2. 2.School of MathematicsSoutheast UniversityNanjingChina
  3. 3.Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia
  4. 4.Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

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