Regular Papers

International Journal of Control, Automation, and Systems 2025; 23(3): 860-868

https://doi.org/10.1007/s12555-024-0209-5

© The International Journal of Control, Automation, and Systems

Reduced-order Observer Based Trajectory Tracking Control of Quadrotor Subject to Noises and Disturbances

Nigar Ahmed, Meng Joo Er*, and Syed Awais Ali Shah

Dalian Maritime University

Abstract

This paper presents a control technique to achieve trajectory tracking for a quadrotor subject to internal noises and external disturbance. The methodology involves designing a nonlinear disturbance observer to estimate and reject six different types of disturbances within the quadrotor model, followed by employing state transformation using tracking error and backstepping state space variables to formulate a robust control algorithm. In addition, adaptive laws are obtained using Lyapunov criteria to achieve online control gain tuning. Furthermore, a state observer technique utilizing a reduced-order observer is designed to estimate only the rotational and translational rates using measurable outputs. Finally, the control algorithm is finalized by using the estimated states and disturbances, and adaptive laws. The developed robust adaptive control technique relies solely on desired trajectory information and measurable rotational and translational outputs, thereby reducing the number of onboard sensors required for measurements of rotational and translational rates. The stability analysis is carried out using Lyapunov theory proving asymptotic convergence to the neighbourhood of origin. Simulations are performed on a DJI F450 quadrotor, demonstrating effectiveness and tracking performance of controller for two desired reference trajectories.

Keywords Adaptive control, disturbance observer, quadrotor, reduced order observer, robust control.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2025; 23(3): 860-868

Published online March 1, 2025 https://doi.org/10.1007/s12555-024-0209-5

Copyright © The International Journal of Control, Automation, and Systems.

Reduced-order Observer Based Trajectory Tracking Control of Quadrotor Subject to Noises and Disturbances

Nigar Ahmed, Meng Joo Er*, and Syed Awais Ali Shah

Dalian Maritime University

Abstract

This paper presents a control technique to achieve trajectory tracking for a quadrotor subject to internal noises and external disturbance. The methodology involves designing a nonlinear disturbance observer to estimate and reject six different types of disturbances within the quadrotor model, followed by employing state transformation using tracking error and backstepping state space variables to formulate a robust control algorithm. In addition, adaptive laws are obtained using Lyapunov criteria to achieve online control gain tuning. Furthermore, a state observer technique utilizing a reduced-order observer is designed to estimate only the rotational and translational rates using measurable outputs. Finally, the control algorithm is finalized by using the estimated states and disturbances, and adaptive laws. The developed robust adaptive control technique relies solely on desired trajectory information and measurable rotational and translational outputs, thereby reducing the number of onboard sensors required for measurements of rotational and translational rates. The stability analysis is carried out using Lyapunov theory proving asymptotic convergence to the neighbourhood of origin. Simulations are performed on a DJI F450 quadrotor, demonstrating effectiveness and tracking performance of controller for two desired reference trajectories.

Keywords: Adaptive control, disturbance observer, quadrotor, reduced order observer, robust control.

IJCAS
March 2025

Vol. 23, No. 3, pp. 683~972

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