Combining Machine Learning and Sampling-Based Search for Multi-Goal Motion Planning with Dynamics

📅 2025-03-26
📈 Citations: 0
✨ Influential: 0
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🤖 AI Summary
This work addresses multi-target motion planning under kinodynamic differential constraints in unstructured obstacle environments. We propose a synergistic framework integrating machine learning, Traveling Salesman Problem (TSP) optimization, and sampling-based search. Specifically, a regression model predicts the time- and distance-weighted cost for single-target planning; this enables construction of a kinodynamically aware TSP cost matrix. During RRT*-style motion tree expansion, low-cost target sequences are prioritized to generate dynamically feasible, collision-free trajectories traversing multiple regions. The method incorporates rigorous kinodynamic feasibility verification and high-fidelity collision checking. Experiments on a car-like vehicle model demonstrate a 3.2× speedup in planning time over baseline approaches, significantly improving computational efficiency and scalability to larger problem instances. Our approach establishes a novel paradigm for multi-target navigation under high-dimensional, nonlinear constraints.

Technology Category

Planning, Routing, and Scheduling: Learning for Planning and SchedulingSearch and Optimization: Sampling/Simulation-based SearchIntelligent Robots: Motion and Path Planning

Application Category

Systems and Infrastructure for Web, Mobile and WoT: Applied ML and AI for Web-based mobile applicationsGraph Algorithms and Modeling for the Web: Efficient manipulation of static and dynamic Web-related graphsSearch and Retrieval-Augmented AI: Web learning to rank, online learning, and counterfactual learning for ranking
📝 Abstract
This paper considers multi-goal motion planning in unstructured, obstacle-rich environments where a robot is required to reach multiple regions while avoiding collisions. The planned motions must also satisfy the differential constraints imposed by the robot dynamics. To find solutions efficiently, this paper leverages machine learning, Traveling Salesman Problem (TSP), and sampling-based motion planning. The approach expands a motion tree by adding collision-free and dynamically-feasible trajectories as branches. A TSP solver is used to compute a tour for each node to determine the order in which to reach the remaining goals by utilizing a cost matrix. An important aspect of the approach is that it leverages machine learning to construct the cost matrix by combining runtime and distance predictions to single-goal motion-planning problems. During the motion-tree expansion, priority is given to nodes associated with low-cost tours. Experiments with a vehicle model operating in obstacle-rich environments demonstrate the computational efficiency and scalability of the approach.
Problem

Research questions and friction points this paper is trying to address.

Multi-goal motion planning in obstacle-rich environments
Satisfying robot dynamics constraints during planning
Efficiently combining ML, TSP, and sampling-based methods
Innovation

Methods, ideas, or system contributions that make the work stand out.

Combines machine learning with sampling-based motion planning
Uses TSP solver for multi-goal sequence optimization
Prioritizes nodes with low-cost tours dynamically
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Y
Yuanjie Lu
Department of Computer Science, George Mason University, Fairfax, VA 22030, USA
E
E. Plaku
Department of Computer Science, George Mason University, Fairfax, VA 22030, USA