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Fast Motion Planning for Non-Holonomic Mobile Robots Via a Rectangular Corridor Representation of Structured Environments

Alejandro Gonzalez-Garcia, Sebastiaan Wyns, Sonia De Santis, Jan Swevers, Wilm Decré

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Key figure (auto-extracted from paper)
A corridor-based decomposition enables real-time, optimization-free motion planning for non-holonomic robots with over 10,000:1 spatial compression and near-time-optimal trajectories.
Motion planning Non-holonomic robots Corridor decomposition Real-time navigation Analytical trajectories Structured environments

Problem

Conventional grid-based planners scale poorly with map resolution, while sampling-based and convex-cover methods often lack deterministic guarantees, struggle in narrow passages, or ignore kinematic constraints. This leaves a gap for scalable, real-time motion planning for non-holonomic mobile robots in complex structured environments.

Approach

The framework decomposes the environment offline into a compact graph of overlapping rectangular corridors, then finds a corridor sequence online and generates kinematically feasible trajectories using analytical motion primitives without online optimization.

Key results

  • Deterministic free-space decomposition achieving >10,000:1 structural compression
  • Real-time planning complexity independent of map resolution
  • Near-time-optimal trajectories via analytical motion primitives
  • Extensive simulation and physical robot validation with open-source ROS 2 release

Why it matters

Provides a scalable, deterministic navigation solution for industrial autonomous mobile robots operating in complex, corridor-heavy environments like warehouses and factories.

Abstract

We present a complete framework for fast motion planning of non-holonomic autonomous mobile robots in highly complex but structured environments. Conventional grid-based planners struggle with scalability, while many kinematically- feasible planners impose a significant computational burden due to their search space complexity. To overcome these limitations, our approach introduces a deterministic free-space decomposition that creates a compact graph of overlapping rect- angular corridors. This method enables a significant reduction in the search space, without sacrificing path resolution. The framework then performs online motion planning by finding a sequence of rectangles and generating a near-time-optimal, kinematically-feasible trajectory using an analytical planner. The result is a highly efficient solution for large-scale navigation. We validate our framework through extensive simulations and on a physical robot. The implementation is publicly available as open-source software.

Index terms

Motion and Path Planning Nonholonomic Motion Planning Autonomous Vehicle Navigation

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