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NDO-Based Dual Quaternion Control of a Drone with a Cable-suspended Load

Yuxia Yuan, Junjie Kang, Jinjun Shan, Markus Ryll

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A novel NDO-based dual quaternion control framework enables robust, singularity-free trajectory tracking and load swing suppression for cargo drones under dynamic coupling and external disturbances.
dual quaternion nonlinear disturbance observer cable-suspended load cargo drone robust control hybrid dynamics

Problem

Cable-suspended cargo drones suffer from complex nonlinear coupling between the drone and load, making them highly vulnerable to parametric uncertainties and external disturbances that destabilize flight and degrade tracking accuracy.

Approach

The authors derive a hybrid dual quaternion dynamic model that unifies translational and rotational motion while handling both taut and slack cable states, then integrate decoupled nonlinear disturbance observers to estimate and compensate for real-time uncertainties.

Key results

  • Hybrid dual quaternion model unifies drone-load dynamics across taut and slack cable conditions
  • Three decoupled NDOs accurately estimate and compensate for load, cable, and drone disturbances
  • Robust trajectory tracking and swing suppression achieved under parametric uncertainties and wind gusts
  • Framework validated through simulations and real-world cargo drone experiments

Why it matters

Provides a reliable, computationally efficient control solution for deploying cargo drones in complex logistics and disaster relief operations where ground access is limited.

Abstract

This paper proposes a novel nonlinear disturbance observer (NDO) based dual quaternion dynamics modeling and control framework for a drone with a cable-suspended load. Leveraging dual quaternions, a compact and singularity- free mathematical representation, we derive a unified dynamic model that captures the coupled translational and rotational dynamics of both the drone and the slung load. NDOs are designed to estimate and compensate for uncertainties and external disturbances affecting the drone and the load. Building on this framework, we develop a robust control strategy that ensures precise trajectory tracking of the slung load while maintaining stable drone attitude control. The effectiveness of the proposed approach is validated through comprehensive simulations and real-world experiments on a cargo drone platform. The results highlight the robustness and reliability of the system in practical scenarios, demonstrating its potential application in cargo transportation.

Index terms

Aerial Systems: Applications Aerial Systems: Mechanics and Control

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