Artificial Spacetimes for Reactive Control of Resource-Limited Robots

Fuente: arXiv
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Auteurs principaux: Reinhardt, William H., Miskin, Marc Z.
Format: Preprint
Publié: 2025
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author Reinhardt, William H.
Miskin, Marc Z.
author_facet Reinhardt, William H.
Miskin, Marc Z.
contents Field-based reactive control provides a minimalist, decentralized route to guiding robots that lack onboard computation. Such schemes are well suited to resource-limited machines like microrobots, yet implementation artifacts, limited behaviors, and the frequent lack of formal guarantees blunt adoption. Here, we address these challenges with a new geometric approach called artificial spacetimes. We show that reactive robots navigating control fields obey the same dynamics as light rays in general relativity. This surprising connection allows us to adopt techniques from relativity and optics for constructing and analyzing control fields. When implemented, artificial spacetimes guide robots around structured environments, simultaneously avoiding boundaries and executing tasks like rallying or sorting, even when the field itself is static. We augment these capabilities with formal tools for analyzing what robots will do and provide experimental validation with silicon-based microrobots. Combined, this work provides a new framework for generating composed robot behaviors with minimal overhead.
format Preprint
id arxiv_https___arxiv_org_abs_2503_13355
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Artificial Spacetimes for Reactive Control of Resource-Limited Robots
Reinhardt, William H.
Miskin, Marc Z.
Robotics
Systems and Control
Applied Physics
Field-based reactive control provides a minimalist, decentralized route to guiding robots that lack onboard computation. Such schemes are well suited to resource-limited machines like microrobots, yet implementation artifacts, limited behaviors, and the frequent lack of formal guarantees blunt adoption. Here, we address these challenges with a new geometric approach called artificial spacetimes. We show that reactive robots navigating control fields obey the same dynamics as light rays in general relativity. This surprising connection allows us to adopt techniques from relativity and optics for constructing and analyzing control fields. When implemented, artificial spacetimes guide robots around structured environments, simultaneously avoiding boundaries and executing tasks like rallying or sorting, even when the field itself is static. We augment these capabilities with formal tools for analyzing what robots will do and provide experimental validation with silicon-based microrobots. Combined, this work provides a new framework for generating composed robot behaviors with minimal overhead.
title Artificial Spacetimes for Reactive Control of Resource-Limited Robots
topic Robotics
Systems and Control
Applied Physics
url https://arxiv.org/abs/2503.13355