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This research advances safe motion planning in robotics by integrating Signal Temporal Logic constraints directly into Model Predictive Path Integral controllers via control barrier functions. The study demonstrates that this framework maintains high efficiency while satisfying complex time-critical specifications, validated through Mars Rover simulations and quadcopter experiments. By bridging formal logic with sampling-based optimization, the work offers a practical solution for deploying autonomous systems in environments requiring rigorous safety guarantees.
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Safety-aware Model Predictive Path Integral Control with Signal Temporal Logic

arXiv2 min read

arXiv:2608.23972v1 Announce Type: new Abstract: Safety-aware motion planning remains a challenge in robotics, especially when missions are time-critical and are under complex specifications. In this paper, we propose safety-aware-stl-mppi, a computationally efficient sampling-based receding-horizon planning framework designed to promote satisfaction of constraints expressed in Signal Temporal Logic (STL). Our approach encodes discrete-time STL formulas into candidate time-varying control barrier functions (CBF), which are integrated into a model predictive path integral (MPPI) controller. Our method inherits the benefits of low computational cost from an efficiently parallelizable sampling based planner and utilizes CBF for constraints expressed in STL. We compare against several MPPI baselines using four artificial Mars Rover planning case studies with a diverse environment and cost setups, where we show our method consistently achieving high safety and efficiency. We show a quadcopter planning experiment with NVIDIA Isaac Lab.

Abstract:Safety-aware motion planning remains a challenge in robotics, especially when missions are time-critical and are under complex specifications. In this paper, we propose safety-aware-stl-mppi, a computationally efficient sampling-based receding-horizon planning framework designed to promote satisfaction of constraints expressed in Signal Temporal Logic (STL). Our approach encodes discrete-time STL formulas into candidate time-varying control barrier functions (CBF), which are integrated into a model predictive path integral (MPPI) controller. Our method inherits the benefits of low computational cost from an efficiently parallelizable sampling based planner and utilizes CBF for constraints expressed in STL. We compare against several MPPI baselines using four artificial Mars Rover planning case studies with a diverse environment and cost setups, where we show our method consistently achieving high safety and efficiency. We show a quadcopter planning experiment with NVIDIA Isaac Lab.

Robotics (cs.RO); Systems and Control (eess.SY)

arXiv:2608.23972 [cs.RO]

(or arXiv:2608.23972v1 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2608.23972 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 230 words

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