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Multi-UAV trajectory planning for 3D visual inspection of complex structures (2204.10070v4)

Published 21 Apr 2022 in math.OC, cs.MA, cs.RO, cs.SY, and eess.SY

Abstract: The application of autonomous UAVs to infrastructure inspection tasks provides benefits in terms of operation time reduction, safety, and cost-effectiveness. This paper presents trajectory planning for three-dimensional autonomous multi-UAV volume coverage and visual inspection of infrastructure based on the Heat Equation Driven Area Coverage (HEDAC) algorithm. The method generates trajectories using a potential field and implements distance fields to prevent collisions and to determine UAVs' camera orientation. It successfully achieves coverage during the visual inspection of complex structures such as a wind turbine and a bridge, outperforming a state-of-the-art method by allowing more surface area to be inspected under the same conditions. The presented trajectory planning method offers flexibility in various setup parameters and is applicable to real-world inspection tasks. Conclusively, the proposed methodology could potentially be applied to different autonomous UAV tasks, or even utilized as a UAV motion control method if its computational efficiency is improved.

Citations (45)

Summary

  • The paper introduces a novel multi-UAV trajectory planning method using a 3D HEDAC algorithm for collision-free visual inspections of complex structures.
  • It employs a potential field method and finite element analysis to adapt 2D HEDAC for optimizing 3D ergodic coverage and coordinated UAV motion.
  • Experimental results on varied structures demonstrate superior surface coverage compared to receding horizon planners despite notable computational demands.

Multi-UAV Trajectory Planning for 3D Visual Inspection of Complex Structures

The paper "Multi-UAV trajectory planning for 3D visual inspection of complex structures" introduces an advanced method for devising trajectories for multiple Unmanned Aerial Vehicles (UAVs) tasked with inspecting complex infrastructure. This is achieved through the application of the Heat Equation Driven Area Coverage (HEDAC) algorithm, which facilitates a three-dimensional (3D) ergodic coverage approach. The proposed methodology primarily addresses the challenge of efficiently generating collision-free trajectories in 3D spaces, taking into account the complexities of multi-agent coordination and the operational constraints of UAVs.

Methodology

The authors present an innovative trajectory planning approach centered around the potential field method to manage UAV motion within a 3D domain. HEDAC is employed to produce these potential fields by solving the Helmholtz partial differential equation, which integrates obstacle avoidance and optimizes coverage. Specifically, the paper extends the HEDAC algorithm—which originally found applications in 2D space coverage tasks—to 3D environments. This adaptation involves modeling the environment as a 3D mesh and utilizing the finite element method (FEM) to efficiently solve the governing equations.

A key component of the methodology is the design of a spatial target density, which ensures that all UAVs collectively cover the structure's surface at a desired inspection distance. This drives the UAVs to maintain an appropriate distance from the structure, enhancing the quality and completeness of the visual inspection.

Experiments and Results

The efficacy of the proposed method is evaluated through simulations on various case studies, including a synthetic portal, a wind turbine, and a bridge structure. These test cases illustrate the algorithm's ability to maintain a balance between local exploitation and global exploration, essential for comprehensive surface coverage.

  • In terms of performance, the proposed method exceeded a state-of-the-art receding horizon planner when inspecting a bridge structure, achieving higher surface coverage in reduced spatial volumes.
  • The computational demands, however, are notable, necessitating a significant processing time per time step due to the complexity of the calculations involved, especially the coverage and potential fields.

Implications and Future Research

The results demonstrate that the proposed methodology is robust and can be effective in diverse inspection tasks using UAVs. The trajectory planning method is notable for its adaptability, permitting alterations in setup parameters, thus allowing its application across various real-world inspection environments.

Despite its strengths, the computational intensity of the method poses a challenge, limiting its application in real-time scenarios. Future advancements could focus on optimizing the computational aspects of the algorithm, potentially employing adaptive mesh refinement or parallel computation utilizing GPUs. Moreover, integrating advanced camera models could enhance the practical applicability of the methodology, ensuring that it can be seamlessly integrated with UAV systems of varying specifications.

In conclusion, this paper contributes significantly to the field of UAV trajectory planning for infrastructure inspection, presenting a comprehensive framework for multi-UAV cooperation. The adoption of advanced mathematical models and numerical methods exemplifies a cutting-edge approach to overcoming the unique challenges presented by 3D visual inspection tasks in complex environments. Continued research and development in this area hold the promise of further enhancing the efficiency and applicability of autonomous UAV systems in inspection and beyond.

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