Energy-Optimal Multi-Agent Navigation as a Strategic-Form Game

Fuente: arXiv
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Autore principale: Beaver, Logan
Natura: Preprint
Pubblicazione: 2024
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author Beaver, Logan
author_facet Beaver, Logan
contents This extended abstracts presents a method to generate energy-optimal trajectories for multi-agent systems as a strategic-form game. Using recent results in optimal control, we demonstrate that an energy-optimal trajectory can be generated in milliseconds if the sequence of constraint activations is known a priori. Thus, rather than selecting an infinite-dimensional action from a function space, the agents select their actions from a finite number of constraints and determine the time that each becomes active. Furthermore, the agents can exactly encode their trajectory in a set of real numbers, rather than communicating their control action as an infinite-dimensional function. We demonstrate the performance of this algorithm in simulation and find an optimal trajectory in 45 milliseconds on a tablet PC.
format Preprint
id arxiv_https___arxiv_org_abs_2403_19641
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Energy-Optimal Multi-Agent Navigation as a Strategic-Form Game
Beaver, Logan
Optimization and Control
This extended abstracts presents a method to generate energy-optimal trajectories for multi-agent systems as a strategic-form game. Using recent results in optimal control, we demonstrate that an energy-optimal trajectory can be generated in milliseconds if the sequence of constraint activations is known a priori. Thus, rather than selecting an infinite-dimensional action from a function space, the agents select their actions from a finite number of constraints and determine the time that each becomes active. Furthermore, the agents can exactly encode their trajectory in a set of real numbers, rather than communicating their control action as an infinite-dimensional function. We demonstrate the performance of this algorithm in simulation and find an optimal trajectory in 45 milliseconds on a tablet PC.
title Energy-Optimal Multi-Agent Navigation as a Strategic-Form Game
topic Optimization and Control
url https://arxiv.org/abs/2403.19641