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

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Abstract

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.

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Acknowledgements

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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Authors and Affiliations

  1. Department of Applied Mathematics, Huainan Normal University, Huainan, 232038, China

    Guanjun Li

  2. School of Mathematics, Southeast University, Nanjing, 210096, China

    Guanjun Li & Jinde Cao

  3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Jinde Cao

  4. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Ahmed Alsaedi & Bashir Ahmad

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  1. Guanjun Li
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  2. Jinde Cao
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  4. Bashir Ahmad
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Correspondence to Jinde Cao.

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Li, G., Cao, J., Alsaedi, A. et al. Limit cycle oscillation in aeroelastic systems and its adaptive fractional-order fuzzy control. Int. J. Mach. Learn. & Cyber. 9, 1297–1305 (2018). https://doi.org/10.1007/s13042-017-0644-1

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