🤖 AI Summary
To address low computational efficiency, poor scalability, and insufficient safety in swarm robot trajectory planning under dense obstacle environments, this paper proposes a hierarchical generative framework. It represents the swarm’s macroscopic state via probability density functions and employs a conditional diffusion model to generate risk-aware macroscopic trajectory distributions, which guide microscopic individual trajectory optimization. Innovatively, we integrate Wasserstein optimal transport with conditional value-at-risk (CVaR) to establish an optimal transport–risk co-optimization mechanism. Furthermore, we design a Diffusion Transformer (DiT) architecture to enhance long-range dependency modeling and improve sampling efficiency. Experiments demonstrate that our method achieves a 2.3× speedup, improves trajectory validity by 18.7%, and enables real-time, safe, and robust navigation for swarms of up to 100 robots in both simulation and real-world scenarios.
📝 Abstract
Swarm robotic trajectory planning faces challenges in computational efficiency, scalability, and safety, particularly in complex, obstacle-dense environments. To address these issues, we propose SwarmDiff, a hierarchical and scalable generative framework for swarm robots. We model the swarm's macroscopic state using Probability Density Functions (PDFs) and leverage conditional diffusion models to generate risk-aware macroscopic trajectory distributions, which then guide the generation of individual robot trajectories at the microscopic level. To ensure a balance between the swarm's optimal transportation and risk awareness, we integrate Wasserstein metrics and Conditional Value at Risk (CVaR). Additionally, we introduce a Diffusion Transformer (DiT) to improve sampling efficiency and generation quality by capturing long-range dependencies. Extensive simulations and real-world experiments demonstrate that SwarmDiff outperforms existing methods in computational efficiency, trajectory validity, and scalability, making it a reliable solution for swarm robotic trajectory planning.