STABILITY ANALYSIS OF A FRACTIONAL ORDERED QUADROTOR UNMANNED AERIAL VEHICLE CHAOTIC SYSTEM

Lamia Loudahi, Jing Yuan and Fatene Dioubi
Additional contact information
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

FRACTALS (fractals), 2025, vol. 33, issue 01, 1-12

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.

Keywords: Fractional-Ordered Chaotic Systems; Quadrotor Unmanned Aerial Vehicle; Stability; Adaptive Control; Active Control; Passive Control (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X25500057
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:33:y:2025:i:01:n:s0218348x25500057

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X25500057

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().