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Stability Analysis Of A Fractional Ordered Quadrotor Unmanned Aerial Vehicle Chaotic System

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  • LAMIA LOUDAHI

    (School of Computer Science and Technology, Zhejiang Normal University, Jinhua 321004, Zhejiang, P. R. China†Zhejiang Institute of Photoelectronics, Jinhua, Zhejiang 321004, China)

  • JING YUAN

    (School of Computer Science and Technology, Zhejiang Normal University, Jinhua 321004, Zhejiang, P. R. China)

  • FATENE DIOUBI

    (School of Computer Science and Technology, Zhejiang Normal University, Jinhua 321004, Zhejiang, P. R. China)

Abstract

A Caputo fractional-order derivative is used in a Quadrotor Unmanned Aerial Vehicle (QUAV) chaotic system to transform it into fractional ordered QUAV (FoQUAV) chaotic system for the first time. Therefore, this study explores three control (adaptive, active, and passive) strategies applied on the FoQUAV system. Further, utilizing Lyapunov theory, we established global stability around the equilibrium point and conducted numerical simulations for validation and comparison. In this work, adaptive control technique is used by considering af, ag, and ah as unknown parameters and are derived using updated law. Similarly, active control technique is derived using two sub-controllers including μ̂i = Ai + Ni with Ai; linear and Ni; nonlinear controllers, respectively. Finally, a feedback linearization-based, passive controller is used, which has predefined control input and converges to a stable equilibria. Moreover, this work also revealed, during performing numerical simulations, that the open loop system stabilizes at times t ≈ 4 s, t ≈ 60 s, and t ≈ 90 s, respectively, for adaptive, active, and passive controllers. Finally, the passive controller face several challenges during stabilizing the yaw of a considered system and overall is proved that adaptive controller perform best with respect to time consumption and quick performance in comparison.

Suggested Citation

  • Lamia Loudahi & Jing Yuan & Fatene Dioubi, 2025. "Stability Analysis Of A Fractional Ordered Quadrotor Unmanned Aerial Vehicle Chaotic System," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(01), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:01:n:s0218348x25500057
    DOI: 10.1142/S0218348X25500057
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