新方法统一软硬约束,自适应调度,让机器人在复杂环境中更安全高效地规划路径。
Motion Planning with Model-Based Diffusion via Constraint Optimization and Adaptive Scheduling

- 用软约束和硬投影统一处理安全问题,提升约束满足能力。
- 在2D环境和7自由度机械臂上,成功率更高、收敛更快、成本更低。
- 适合需要高安全性和动态可行性的复杂场景机器人规划任务。
在高度非凸的约束环境下,单机器人运动规划(SRMP)需同时满足避障、动态可行性及任务约束,在复杂约束与计算限制下极具挑战。现有基于模型的扩散(MBD)方法将SRMP重构为轨迹优化问题,利用已知动力学从后验采样,并通过滚动样本解析估计得分函数,引导扩散去噪生成低代价、无冲突的轨迹,无需示范学习。尽管已有工作将MBD扩展至约束环境并展现良好性能,但仍受限于:(1) 安全性仅通过软可行性扩散先验或硬投影算子实现,缺乏统一框架;(2) 安全约束固定执行,忽略扩散调度的动态变化。为此,本文提出基于约束优化与自适应调度的模型基扩散方法(MD-COAS),融合不精确增广拉格朗日法(iALM)软扩散先验与基于凸可行集(CFS)的硬投影算子,并自适应协同优化安全性与扩散调度。实验表明,该方法在随机生成的高度非凸2D基准与7自由度机械臂避障任务中,均优于基线规划器,具备更高的安全性与成功率、更快收敛速度及更低最终代价。
原文摘要 · Abstract (English)
Single-Robot Motion Planning (SRMP) in highly non-convex constrained environments, where robots must satisfy collision-free guarantees, dynamic feasibility, and task-related constraints, is challenging under complex constraints and computational limits. Recent Model-Based Diffusion (MBD) approaches recast the SRMP as trajectory optimization that samples from a posterior over trajectories, using known dynamics, and analytically estimates the score function from rollout samples to guide diffusion denoising toward a low-cost, clean trajectory without demonstration learning. While existing works further adapt MBD to constrained environments and showcase promising performance, they are still limited by (1) enforcing safety either via soft feasibility diffusion priors or hard projection operators, but lack a unified framework to integrate both, and (2) fixing safety enforcement to neglect the changing of diffusion scheduling. Therefore, we introduce Model-Based Diffusion via Constraint Optimization and Adaptive Scheduling (MD-COAS) for SRMP that unifies the inexact Augmented Lagrangian Method (iALM) soft diffusion prior with a Convex Feasible Set (CFS)-based hard projection operator, and adaptively schedules and co-optimizes safety enforcement, along with diffusion scheduling. Experiments demonstrate that our method achieves higher safety \& success rates, faster convergence, and lower final costs than baseline planners on randomly generated highly non-convex 2D benchmarks and a 7-DoF robot arm avoidance task.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。