Data-Driven Cooperative Output Regulation of Continuous-Time Multi-Agent Systems with Unknown Network Topology

Fuente: arXiv
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Main Authors: Ren, Peng, Hao, Yuqing, Sun, Zhiyong, Wang, Qingyun, Chen, Guanrong
Format: Preprint
Published: 2024
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_version_ 1866917779920125952
author Ren, Peng
Hao, Yuqing
Sun, Zhiyong
Wang, Qingyun
Chen, Guanrong
author_facet Ren, Peng
Hao, Yuqing
Sun, Zhiyong
Wang, Qingyun
Chen, Guanrong
contents This paper investigates data-driven cooperative output regulation for continuous-time multi-agent systems with unknown network topology. Unlike existing studies that typically assume a known network topology to directly compute controller parameters, a novel approach is proposed that allows for the computation of the parameter without prior knowledge of the topology. A lower bound on the minimum non-zero eigenvalue of the Laplacian matrix is estimated using only edge weight bounds, enabling the output regulation controller design to be independent of global network information. Additionally, the common need for state derivative measurements is eliminated, reducing the amount of data requirements. Furthermore, necessary and sufficient conditions are established to ensure that the data are informative for cooperative output regulation, leading to the design of a distributed output regulation controller. For the case with noisy data, the bound of the output error is provided, which is positively correlated with the noise bound, and a distributed controller is constructed for the approximate cooperative output regulation. Finally, the effectiveness of the proposed methods is verified through numerical simulations.
format Preprint
id arxiv_https___arxiv_org_abs_2409_12824
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Data-Driven Cooperative Output Regulation of Continuous-Time Multi-Agent Systems with Unknown Network Topology
Ren, Peng
Hao, Yuqing
Sun, Zhiyong
Wang, Qingyun
Chen, Guanrong
Multiagent Systems
Systems and Control
This paper investigates data-driven cooperative output regulation for continuous-time multi-agent systems with unknown network topology. Unlike existing studies that typically assume a known network topology to directly compute controller parameters, a novel approach is proposed that allows for the computation of the parameter without prior knowledge of the topology. A lower bound on the minimum non-zero eigenvalue of the Laplacian matrix is estimated using only edge weight bounds, enabling the output regulation controller design to be independent of global network information. Additionally, the common need for state derivative measurements is eliminated, reducing the amount of data requirements. Furthermore, necessary and sufficient conditions are established to ensure that the data are informative for cooperative output regulation, leading to the design of a distributed output regulation controller. For the case with noisy data, the bound of the output error is provided, which is positively correlated with the noise bound, and a distributed controller is constructed for the approximate cooperative output regulation. Finally, the effectiveness of the proposed methods is verified through numerical simulations.
title Data-Driven Cooperative Output Regulation of Continuous-Time Multi-Agent Systems with Unknown Network Topology
topic Multiagent Systems
Systems and Control
url https://arxiv.org/abs/2409.12824