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Main Authors: Chen, Yaru, Cong, Yirui, Zhou, Xiangyun, Cheng, Long, Wang, Xiangke
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.18961
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author Chen, Yaru
Cong, Yirui
Zhou, Xiangyun
Cheng, Long
Wang, Xiangke
author_facet Chen, Yaru
Cong, Yirui
Zhou, Xiangyun
Cheng, Long
Wang, Xiangke
contents In wireless communication-based formation control systems, the control performance is significantly impacted by the channel capacity of each communication link between agents. This relationship, however, remains under-investigated in the existing studies. To address this gap, the formation control problem of classical second-order multi-agent systems with bounded process noises was considered taking into account the channel capacity. More specifically, the model of communication links between agents is first established, based on a new concept -- guaranteed communication region, which characterizes all possible locations for successful message decoding in the present of control-system uncertainty. Furthermore, we rigorously prove that, the guaranteed communication region does not unboundedly increase with the transmission time, which indicates an important trade-off between the guaranteed communication region and the data rate. The fundamental limits of data rate for any desired accuracy are also obtained. Finally, the integrated design to achieve the desired formation accuracy is proposed, where an estimation-based controller and transmit power control strategy are developed.
format Preprint
id arxiv_https___arxiv_org_abs_2406_18961
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Formation Under Communication Constraints: Control Performance Meets Channel Capacity
Chen, Yaru
Cong, Yirui
Zhou, Xiangyun
Cheng, Long
Wang, Xiangke
Multiagent Systems
In wireless communication-based formation control systems, the control performance is significantly impacted by the channel capacity of each communication link between agents. This relationship, however, remains under-investigated in the existing studies. To address this gap, the formation control problem of classical second-order multi-agent systems with bounded process noises was considered taking into account the channel capacity. More specifically, the model of communication links between agents is first established, based on a new concept -- guaranteed communication region, which characterizes all possible locations for successful message decoding in the present of control-system uncertainty. Furthermore, we rigorously prove that, the guaranteed communication region does not unboundedly increase with the transmission time, which indicates an important trade-off between the guaranteed communication region and the data rate. The fundamental limits of data rate for any desired accuracy are also obtained. Finally, the integrated design to achieve the desired formation accuracy is proposed, where an estimation-based controller and transmit power control strategy are developed.
title Formation Under Communication Constraints: Control Performance Meets Channel Capacity
topic Multiagent Systems
url https://arxiv.org/abs/2406.18961