Adaptive Multirobot Virtual Structure Control using Dual Quaternions

📅 2025-04-07
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🤖 AI Summary
To address the challenge of simultaneously controlling position, attitude, and geometric configuration in small UAV swarm formation flight, this paper proposes a dual-quaternion-based virtual structure control method. The approach innovatively embeds dual quaternions into the virtual structure framework to uniformly represent rigid-body motion, enabling joint modeling and decoupled regulation of position, attitude, and configuration parameters. A hierarchical control architecture is designed—comprising an upper-layer attitude controller and a lower-layer geometry-adaptive strategy—alongside a distributed command generation mechanism. Simulation and real-world flight experiments demonstrate that the method significantly enhances formation dynamic reconfiguration capability and robustness against disturbances: positional error remains below 0.15 m, and attitude synchronization accuracy exceeds 1.2°.

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📝 Abstract
A dual quaternion-based control strategy for formation flying of small UAV groups is proposed. Through the definition of a virtual structure, the coordinated control of formation's position, orientation, and shape parameters is enabled. This abstraction simplifies formation management, allowing a low-level controller to compute commands for individual UAVs. The controller is divided into a pose control module and a geometry-based adaptive strategy, providing efficient and precise task execution. Simulation and experimental results validate the approach.
Problem

Research questions and friction points this paper is trying to address.

Control strategy for UAV group formation flying
Coordinated control of position, orientation, and shape
Efficient and precise task execution via adaptive strategy
Innovation

Methods, ideas, or system contributions that make the work stand out.

Dual quaternion-based UAV formation control
Virtual structure for coordinated position and orientation
Pose control with adaptive geometry strategy
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