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An Efficient Real-Time Planning Method for Swarm Robotics Based on an Optimal Virtual Tube (2505.01380v1)

Published 2 May 2025 in cs.RO, cs.SY, and eess.SY

Abstract: Swarm robotics navigating through unknown obstacle environments is an emerging research area that faces challenges. Performing tasks in such environments requires swarms to achieve autonomous localization, perception, decision-making, control, and planning. The limited computational resources of onboard platforms present significant challenges for planning and control. Reactive planners offer low computational demands and high re-planning frequencies but lack predictive capabilities, often resulting in local minima. Long-horizon planners, on the other hand, can perform multi-step predictions to reduce deadlocks but cost much computation, leading to lower re-planning frequencies. This paper proposes a real-time optimal virtual tube planning method for swarm robotics in unknown environments, which generates approximate solutions for optimal trajectories through affine functions. As a result, the computational complexity of approximate solutions is $O(n_t)$, where $n_t$ is the number of parameters in the trajectory, thereby significantly reducing the overall computational burden. By integrating reactive methods, the proposed method enables low-computation, safe swarm motion in unknown environments. The effectiveness of the proposed method is validated through several simulations and experiments.

Summary

An Efficient Real-Time Planning Method for Swarm Robotics Based on an Optimal Virtual Tube

The paper "An Efficient Real-Time Planning Method for Swarm Robotics Based on an Optimal Virtual Tube" by Pengda Mao et al. addresses critical challenges in the field of swarm robotics, particularly related to autonomous navigation in unknown obstacle environments. It proposes a novel method that integrates centralized trajectory planning with distributed control to optimize swarm movement efficiency while minimizing computational burdens.

Overview of the Proposed Method

The research presents a planning method that utilizes optimal virtual tubes to guide swarm robotics in obstacle-rich settings. The virtual tube concept is employed as a safety guide, facilitating the safe navigation of drones or robots by defining motion boundaries and directions.

Key Features:

  • Trajectory Planning: Trajectories within the virtual tube are parameterized using B-spline curves, thereby leveraging the convex hull property for safety assurance. This representation guarantees the trajectory remains within defined boundaries, critical for avoiding obstacles.
  • Computational Efficiency: The paper introduces multi-parametric programming to achieve linear computational complexity, thereby significantly enhancing planning frequency compared to traditional methods, which often result in prohibitive computational costs due to non-linear optimization in multi-step prediction scenarios.
  • Adaptive Replanning Strategy: The framework adapts to unknown environments by planning a full virtual tube based on current information within the sensing range. This portion is designated as committed, and the procedure is repeated as robots move beyond these bounds. This strategy allows rapid responses to unexpected obstacles while ensuring overall swarm safety.

Simulation and Experimental Validation

The methodology was rigorously tested through simulations on MATLAB and real-world experiments using hardware-in-the-loop and outdoor/indoor flight setups. The results were promising, demonstrating reduced computation time by an order of magnitude compared to existing methods while maintaining trajectory optimization within constraints. This makes it possible to increase the swarm’s adaptability and responsiveness to dynamic environments, vital for tasks ranging from search and rescue operations to environmental monitoring.

  • Flight Simulations and Experiments: The drone swarm, when executed under the virtual tube planning framework, exhibited smoother navigation patterns and optimized inter-drone spacing, ensuring operational safety even when moving through constrained spaces.
  • Real-time Performance: In tests involving both sparse and dense obstacle environments, the proposed method achieved higher speeds and maintained a safe distance between drones, evidence of efficient trajectory and collision avoidance mechanisms working in tandem.

Implications and Future Directions

The implications of the research are substantial, impacting swarm robotics operations in real-world applications such as autonomous drone fleets in supply chain logistics, marine robotics swarms for ocean floor mapping, and space exploration deployments utilizing autonomous rover swarms.

For future exploration, the paper suggests extending the framework to accommodate scenarios without reliable communication, thereby enhancing the robustness of swarm operations under various environmental conditions, such as underground or disaster zones. Moreover, further development in distributed virtual tube planning could facilitate more efficient swarm functioning independent of centralized computation nodes.

This paper's contribution provides valuable insights into effective swarm robotics planning, setting the stage for enhanced real-time navigation capabilities in dynamically evolving environments.

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