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Article

Robust Trajectory Inference for Quadrotor UAVs Under External Disturbances via a Sliding-Mode-Enhanced CLOE Approach

by
Fabrizio Ricardo Cahuas-Talledo
1,
Juan Eduardo Velázquez-Velázquez
2 and
Alberto Luviano-Juárez
1,*
1
Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Instituto Politécnico Nacional, Mexico City 07340, Mexico
2
Unidad Profesional Interdisciplinaria de Ingeniería Campus Hidalgo, Instituto Politécnico Nacional, San Agustín Tlaxiaca 42162, Mexico
*
Author to whom correspondence should be addressed.
Drones 2026, 10(8), 593; https://doi.org/10.3390/drones10080593
Submission received: 5 June 2026 / Revised: 29 July 2026 / Accepted: 30 July 2026 / Published: 2 August 2026
(This article belongs to the Special Issue Path Planning, Trajectory Tracking and Guidance for UAVs: 3rd Edition)

Abstract

This article examines the challenge of trajectory inference for an unknown system affected by external disturbances, with the objective of reconstructing the trajectory of a quadrotor using a reference model. The proposed methodology extends the Closed-Loop Output Error (CLOE) scheme through two complementary contributions: an identified gain, incorporated into the reference model to guarantee the Hurwitz condition of the closed-loop error dynamics, and a set of sliding-mode correction terms that further accelerate error convergence and enhance robustness against bounded disturbances. The stability of both contributions is formally established via Lyapunov-based analysis. The proposed approach is validated through realistic simulations carried out in the CoppeliaSim robotics environment, considering both constant and time-varying trajectory scenarios. Results show that the hybrid approach improves trajectory inference accuracy and convergence speed, maintaining resilience under adverse conditions, making it a promising alternative for autonomous quadrotor monitoring.
Keywords: trajectory inference; closed-loop output error; sliding mode; Lyapunov stability; disturbance; quadrotor trajectory inference; closed-loop output error; sliding mode; Lyapunov stability; disturbance; quadrotor

Share and Cite

MDPI and ACS Style

Cahuas-Talledo, F.R.; Velázquez-Velázquez, J.E.; Luviano-Juárez, A. Robust Trajectory Inference for Quadrotor UAVs Under External Disturbances via a Sliding-Mode-Enhanced CLOE Approach. Drones 2026, 10, 593. https://doi.org/10.3390/drones10080593

AMA Style

Cahuas-Talledo FR, Velázquez-Velázquez JE, Luviano-Juárez A. Robust Trajectory Inference for Quadrotor UAVs Under External Disturbances via a Sliding-Mode-Enhanced CLOE Approach. Drones. 2026; 10(8):593. https://doi.org/10.3390/drones10080593

Chicago/Turabian Style

Cahuas-Talledo, Fabrizio Ricardo, Juan Eduardo Velázquez-Velázquez, and Alberto Luviano-Juárez. 2026. "Robust Trajectory Inference for Quadrotor UAVs Under External Disturbances via a Sliding-Mode-Enhanced CLOE Approach" Drones 10, no. 8: 593. https://doi.org/10.3390/drones10080593

APA Style

Cahuas-Talledo, F. R., Velázquez-Velázquez, J. E., & Luviano-Juárez, A. (2026). Robust Trajectory Inference for Quadrotor UAVs Under External Disturbances via a Sliding-Mode-Enhanced CLOE Approach. Drones, 10(8), 593. https://doi.org/10.3390/drones10080593

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