Cooperative Online Learning for Multi-Agent System Control via Gaussian Processes with Event-Triggered Mechanism: Extended Version

Fuente: arXiv
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Main Authors: Dai, Xiaobing, Yang, Zewen, Zhang, Sihua, Zhai, Di-Hua, Xia, Yuanqing, Hirche, Sandra
Format: Preprint
Published: 2023
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_version_ 1866929501702717440
author Dai, Xiaobing
Yang, Zewen
Zhang, Sihua
Zhai, Di-Hua
Xia, Yuanqing
Hirche, Sandra
author_facet Dai, Xiaobing
Yang, Zewen
Zhang, Sihua
Zhai, Di-Hua
Xia, Yuanqing
Hirche, Sandra
contents In the realm of the cooperative control of multi-agent systems (MASs) with unknown dynamics, Gaussian process (GP) regression is widely used to infer the uncertainties due to its modeling flexibility of nonlinear functions and the existence of a theoretical prediction error bound. Online learning, which involves incorporating newly acquired training data into Gaussian process models, promises to improve control performance by enhancing predictions during the operation. Therefore, this paper investigates the online cooperative learning algorithm for MAS control. Moreover, an event-triggered data selection mechanism, inspired by the analysis of a centralized event-trigger, is introduced to reduce the model update frequency and enhance the data efficiency. With the proposed learning-based control, the practical convergence of the MAS is validated with guaranteed tracking performance via the Lynaponve theory. Furthermore, the exclusion of the Zeno behavior for individual agents is shown. Finally, the effectiveness of the proposed event-triggered online learning method is demonstrated in simulations.
format Preprint
id arxiv_https___arxiv_org_abs_2304_05138
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Cooperative Online Learning for Multi-Agent System Control via Gaussian Processes with Event-Triggered Mechanism: Extended Version
Dai, Xiaobing
Yang, Zewen
Zhang, Sihua
Zhai, Di-Hua
Xia, Yuanqing
Hirche, Sandra
Systems and Control
In the realm of the cooperative control of multi-agent systems (MASs) with unknown dynamics, Gaussian process (GP) regression is widely used to infer the uncertainties due to its modeling flexibility of nonlinear functions and the existence of a theoretical prediction error bound. Online learning, which involves incorporating newly acquired training data into Gaussian process models, promises to improve control performance by enhancing predictions during the operation. Therefore, this paper investigates the online cooperative learning algorithm for MAS control. Moreover, an event-triggered data selection mechanism, inspired by the analysis of a centralized event-trigger, is introduced to reduce the model update frequency and enhance the data efficiency. With the proposed learning-based control, the practical convergence of the MAS is validated with guaranteed tracking performance via the Lynaponve theory. Furthermore, the exclusion of the Zeno behavior for individual agents is shown. Finally, the effectiveness of the proposed event-triggered online learning method is demonstrated in simulations.
title Cooperative Online Learning for Multi-Agent System Control via Gaussian Processes with Event-Triggered Mechanism: Extended Version
topic Systems and Control
url https://arxiv.org/abs/2304.05138