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Robust Real-time UAV Replanning Using Guided Gradient-based Optimization and Topological Paths (1912.12644v2)

Published 29 Dec 2019 in cs.RO

Abstract: Gradient-based trajectory optimization (GTO) has gained wide popularity for quadrotor trajectory replanning. However, it suffers from local minima, which is not only fatal to safety but also unfavorable for smooth navigation. In this paper, we propose a replanning method based on GTO addressing this issue systematically. A path-guided optimization (PGO) approach is devised to tackle infeasible local minima, which improves the replanning success rate significantly. A topological path searching algorithm is developed to capture a collection of distinct useful paths in 3-D environments, each of which then guides an independent trajectory optimization. It activates a more comprehensive exploration of the solution space and output superior replanned trajectories. Benchmark evaluation shows that our method outplays state-of-the-art methods regarding replanning success rate and optimality. Challenging experiments of aggressive autonomous flight are presented to demonstrate the robustness of our method. We will release our implementation as an open-source package.

Citations (104)

Summary

  • The paper presents the Path-Guided Optimization (PGO) approach, integrating geometric path guidance into gradient-based methods to escape local minima.
  • It employs a novel topological path searching algorithm using Uniform Visibility Deformation to generate diverse 3D trajectories with improved smoothness.
  • Benchmark tests demonstrate a perfect success rate in replanning tasks, outperforming state-of-the-art methods in complex, obstacle-dense environments.

Robust Real-time UAV Replanning Using Guided Gradient-based Optimization and Topological Paths

The paper at hand provides a compelling examination of a novel method for real-time trajectory replanning of unmanned aerial vehicles (UAVs), integrating guided gradient-based optimization with topological path methodologies. The primary aim of this research is to address the pervasive issue of local minima in gradient-based trajectory optimization (GTO) which has hampered the efficacy of UAV navigation in complex environments.

Methodology and Innovations

A significant advancement proposed in the paper is the Path-Guided Optimization (PGO) approach. This system effectively mitigates the issue of local minima by incorporating geometric path guidance into the gradient-based optimization framework. By using a geometric path as a guide, the methodology ensures that UAVs avoid entrapment in non-feasible local minima, enhancing both the success rate and the optimality of replanning.

The research introduces a sophisticated topological path searching algorithm that generates multiple distinct paths within a 3D environment. This approach captures a diverse array of potential pathways, thus facilitating a more comprehensive exploration of the solution space. The algorithm employs a Uniform Visibility Deformation (UVD) equivalence relation, a nuanced qualitative measure that classifies paths into distinct topological categories more efficiently than conventional methods.

Key Results

Benchmarking against state-of-the-art methods such as Ewok and Teach-Repeat-Replan (TRR), this new PGO method demonstrated superior performance across a range of obstacle densities. Notably, it achieved a perfect success rate in trajectory replanning tasks, outperforming other methods that exhibited reduced efficacy in higher-density environments. The trajectories generated using PGO were also smoother, achieving lower values in the smoothness metric compared to benchmarks, although with a modest increase in computation time.

Experimental Validation

Experimental results further validated the robustness of this methodology through aggressive autonomous flight demonstrations in both indoor and outdoor environments. The real-world applicability of the algorithm was underscored by successful navigation through dynamically complex and constrained spaces using the proposed methods.

Implications and Future Work

The paper's contributions suggest several implications for both the practical application in UAV operations and the theoretical frameworks of optimization in robotics. Practically, the improvement in trajectory optimality and replanning success rates holds substantial promise for UAVs in real-time dynamic scenarios. Theoretically, this integrated approach may pave the way for new research into multi-path optimization and real-time adaptive systems within robotics.

Future work could focus on enhancing the completeness and theoretical optimality of the topological path searching algorithm. Further extensions might also consider dynamic obstacle environments, a key factor in evolving UAV applications, and the potential for integration with machine learning for adaptive path planning.

Overall, this research presents a robust composite framework that addresses critical challenges in UAV trajectory replanning, offering a foundation for future innovations in autonomous navigation and control.

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