Concurrent-Learning Based Relative Localization in Shape Formation of Robot Swarms (Extended version)

Fuente: arXiv
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Main Authors: Lü, Jinhu, Ze, Kunrui, Yue, Shuoyu, Liu, Kexin, Wang, Wei, Sun, Guibin
Format: Preprint
Published: 2024
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_version_ 1866912195926818816
author Lü, Jinhu
Ze, Kunrui
Yue, Shuoyu
Liu, Kexin
Wang, Wei
Sun, Guibin
author_facet Lü, Jinhu
Ze, Kunrui
Yue, Shuoyu
Liu, Kexin
Wang, Wei
Sun, Guibin
contents In this paper, we address the shape formation problem for massive robot swarms in environments where external localization systems are unavailable. Achieving this task effectively with solely onboard measurements is still scarcely explored and faces some practical challenges. To solve this challenging problem, we propose the following novel results. Firstly, to estimate the relative positions among neighboring robots, a concurrent-learning based estimator is proposed. It relaxes the persistent excitation condition required in the classical ones such as least-square estimator. Secondly, we introduce a finite-time agreement protocol to determine the shape location. This is achieved by estimating the relative position between each robot and a randomly assigned seed robot. The initial position of the seed one marks the shape location. Thirdly, based on the theoretical results of the relative localization, a novel behavior-based control strategy is devised. This strategy not only enables adaptive shape formation of large group of robots but also enhances the observability of inter-robot relative localization. Numerical simulation results are provided to verify the performance of our proposed strategy compared to the state-of-the-art ones. Additionally, outdoor experiments on real robots further demonstrate the practical effectiveness and robustness of our methods.
format Preprint
id arxiv_https___arxiv_org_abs_2410_06052
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Concurrent-Learning Based Relative Localization in Shape Formation of Robot Swarms (Extended version)
Lü, Jinhu
Ze, Kunrui
Yue, Shuoyu
Liu, Kexin
Wang, Wei
Sun, Guibin
Robotics
Multiagent Systems
In this paper, we address the shape formation problem for massive robot swarms in environments where external localization systems are unavailable. Achieving this task effectively with solely onboard measurements is still scarcely explored and faces some practical challenges. To solve this challenging problem, we propose the following novel results. Firstly, to estimate the relative positions among neighboring robots, a concurrent-learning based estimator is proposed. It relaxes the persistent excitation condition required in the classical ones such as least-square estimator. Secondly, we introduce a finite-time agreement protocol to determine the shape location. This is achieved by estimating the relative position between each robot and a randomly assigned seed robot. The initial position of the seed one marks the shape location. Thirdly, based on the theoretical results of the relative localization, a novel behavior-based control strategy is devised. This strategy not only enables adaptive shape formation of large group of robots but also enhances the observability of inter-robot relative localization. Numerical simulation results are provided to verify the performance of our proposed strategy compared to the state-of-the-art ones. Additionally, outdoor experiments on real robots further demonstrate the practical effectiveness and robustness of our methods.
title Concurrent-Learning Based Relative Localization in Shape Formation of Robot Swarms (Extended version)
topic Robotics
Multiagent Systems
url https://arxiv.org/abs/2410.06052