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Research PaperResearchia:202609.09099

Online, Reachability-Aware, Sampling-Based Motion Planning

Brendan Gould

Abstract

Sampling-Based Model-Predictive Control (MPC) algorithms are a flexible class of controllers used for navigation on a wide range of robotic systems. Historically, such approaches have lacked hard safety guarantees, a shortcoming which we remedy in this work by computing guaranteed reachable-set overapproximations online with a fast, interval-based pipeline. We show that our method achieves similar performance to a state-of-the-art reachability-based planner without the need for the expensive pre...

Submitted: September 9, 2026Subjects: Robotics; Robotics

Description / Details

Sampling-Based Model-Predictive Control (MPC) algorithms are a flexible class of controllers used for navigation on a wide range of robotic systems. Historically, such approaches have lacked hard safety guarantees, a shortcoming which we remedy in this work by computing guaranteed reachable-set overapproximations online with a fast, interval-based pipeline. We show that our method achieves similar performance to a state-of-the-art reachability-based planner without the need for the expensive pre-computation step, and can be scaled to systems that are infeasible using existing approaches. Finally, we demonstrate that our technique reduces safety violations by over 99% in a racing simulation and successfully controls a model racecar on real hardware experiments without crashes.


Source: arXiv:2609.09073v1 - http://arxiv.org/abs/2609.09073v1 PDF: https://arxiv.org/pdf/2609.09073v1 Original Link: http://arxiv.org/abs/2609.09073v1

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Date:
Sep 9, 2026
Topic:
Robotics
Area:
Robotics
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