MAPS$^2$: Multi-Robot Autonomous Motion Planning under Signal Temporal Logic Specifications

Fuente: arXiv
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Autores principales: Sewlia, Mayank, Verginis, Christos K., Dimarogonas, Dimos V.
Formato: Preprint
Publicado: 2023
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author Sewlia, Mayank
Verginis, Christos K.
Dimarogonas, Dimos V.
author_facet Sewlia, Mayank
Verginis, Christos K.
Dimarogonas, Dimos V.
contents This article presents MAPS$^2$ : a distributed algorithm that allows multi-robot systems to deliver coupled tasks expressed as Signal Temporal Logic (STL) constraints. Classical control theoretical tools addressing STL constraints either adopt a limited fragment of the STL formula or require approximations of min/max operators, whereas works maximising robustness through optimisation-based methods often suffer from local minima, relaxing any completeness arguments due to the NP-hard nature of the problem. Endowed with probabilistic guarantees, MAPS$^2$ provides an anytime algorithm that iteratively improves the robots' trajectories. The algorithm selectively imposes spatial constraints by taking advantage of the temporal properties of the STL. The algorithm is distributed, in the sense that each robot calculates its trajectory by communicating only with its immediate neighbours as defined via a communication graph. We illustrate the efficiency of MAPS$^2$ by conducting extensive simulation and experimental studies, verifying the generation of STL satisfying trajectories.
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id arxiv_https___arxiv_org_abs_2309_05632
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle MAPS$^2$: Multi-Robot Autonomous Motion Planning under Signal Temporal Logic Specifications
Sewlia, Mayank
Verginis, Christos K.
Dimarogonas, Dimos V.
Robotics
This article presents MAPS$^2$ : a distributed algorithm that allows multi-robot systems to deliver coupled tasks expressed as Signal Temporal Logic (STL) constraints. Classical control theoretical tools addressing STL constraints either adopt a limited fragment of the STL formula or require approximations of min/max operators, whereas works maximising robustness through optimisation-based methods often suffer from local minima, relaxing any completeness arguments due to the NP-hard nature of the problem. Endowed with probabilistic guarantees, MAPS$^2$ provides an anytime algorithm that iteratively improves the robots' trajectories. The algorithm selectively imposes spatial constraints by taking advantage of the temporal properties of the STL. The algorithm is distributed, in the sense that each robot calculates its trajectory by communicating only with its immediate neighbours as defined via a communication graph. We illustrate the efficiency of MAPS$^2$ by conducting extensive simulation and experimental studies, verifying the generation of STL satisfying trajectories.
title MAPS$^2$: Multi-Robot Autonomous Motion Planning under Signal Temporal Logic Specifications
topic Robotics
url https://arxiv.org/abs/2309.05632