Adaptive Control of Nonlinear Systems Peer reviewed

Fast terminal sliding mode control for a quadrotor using triple-loop recurrent neural network and disturbance observer

Luning Wang, Fengdong Shi, FANXIAO ZHANG, Jie Sun and 2 more

The Aeronautical Journal | Jun 1, 2026

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The closed-loop stability of the quadrotor system is ensured based on Lyapunov theory, and the outperformance of the proposed flight control scheme is clearly demonstrated through a comparative study with other techniques.

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Abstract In this article, a new triple-loop recurrent neural network and observer-based two-stage fast terminal sliding mode controller (TRNNO-TFTSMC) is proposed for a quadrotor unmanned aerial vehicle (UAV) with nonlinear dynamics and external disturbances. The two-stage fast terminal sliding mode control scheme is designed to guarantee fast convergence of trajectory tracking within a finite time. In the architecture of the flight control system, the triple-loop recurrent neural network (TRNN) is designed to approximate the nonlinear dynamics, which include system uncertainties and known nominal terms. Furthermore, to mitigate the impact of external disturbances and the approximation error of TRNN on the performance of the control system, an observer is employed. Finally, the closed-loop stability of the quadrotor system is ensured based on Lyapunov theory, and the outperformance of the proposed flight control scheme is clearly demonstrated through a comparative study with other techniques.

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Researchers on this paper

Luning Wang

first | Tiangong University | ORCID 0009-0004-5394-4459

Fengdong Shi

middle | Tiangong University | ORCID 0000-0001-6961-1270

FANXIAO ZHANG

middle | Gannan Normal University

Jie Sun

middle | Tiangong University

Qiyue He

middle | Qingdao University

Zhanshan Zhao

last | Tiangong University | ORCID 0000-0002-2177-3980

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BibTeX

@article{Wang2026Fast,
  title = {Fast terminal sliding mode control for a quadrotor using triple-loop recurrent neural network and disturbance observer},
  author = {Luning Wang and Fengdong Shi and FANXIAO ZHANG and Jie Sun and Qiyue He and Zhanshan Zhao},
  journal = {The Aeronautical Journal},
  year = {2026},
  doi = {10.1017/aer.2026.10178},
  url = {https://doi.org/10.1017/aer.2026.10178}
}

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