Collision-Free Navigation of Mobile Robots via Quadtree-Based Model Predictive Control

Fuente: arXiv
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Main Authors: Ali, Osama Al Sheikh, Koutsoftas, Sotiris, Zhang, Ze, Akesson, Knut, Dean, Emmanuel
Format: Preprint
Published: 2025
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author Ali, Osama Al Sheikh
Koutsoftas, Sotiris
Zhang, Ze
Akesson, Knut
Dean, Emmanuel
author_facet Ali, Osama Al Sheikh
Koutsoftas, Sotiris
Zhang, Ze
Akesson, Knut
Dean, Emmanuel
contents This paper presents an integrated navigation framework for Autonomous Mobile Robots (AMRs) that unifies environment representation, trajectory generation, and Model Predictive Control (MPC). The proposed approach incorporates a quadtree-based method to generate structured, axis-aligned collision-free regions from occupancy maps. These regions serve as both a basis for developing safe corridors and as linear constraints within the MPC formulation, enabling efficient and reliable navigation without requiring direct obstacle encoding. The complete pipeline combines safe-area extraction, connectivity graph construction, trajectory generation, and B-spline smoothing into one coherent system. Experimental results demonstrate consistent success and superior performance compared to baseline approaches across complex environments.
format Preprint
id arxiv_https___arxiv_org_abs_2511_13188
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Collision-Free Navigation of Mobile Robots via Quadtree-Based Model Predictive Control
Ali, Osama Al Sheikh
Koutsoftas, Sotiris
Zhang, Ze
Akesson, Knut
Dean, Emmanuel
Robotics
Systems and Control
This paper presents an integrated navigation framework for Autonomous Mobile Robots (AMRs) that unifies environment representation, trajectory generation, and Model Predictive Control (MPC). The proposed approach incorporates a quadtree-based method to generate structured, axis-aligned collision-free regions from occupancy maps. These regions serve as both a basis for developing safe corridors and as linear constraints within the MPC formulation, enabling efficient and reliable navigation without requiring direct obstacle encoding. The complete pipeline combines safe-area extraction, connectivity graph construction, trajectory generation, and B-spline smoothing into one coherent system. Experimental results demonstrate consistent success and superior performance compared to baseline approaches across complex environments.
title Collision-Free Navigation of Mobile Robots via Quadtree-Based Model Predictive Control
topic Robotics
Systems and Control
url https://arxiv.org/abs/2511.13188