Distributed Finite-time Differentiator for Multi-agent Systems Under Directed Graph

Fuente: arXiv
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Autori principali: Chen, Weile, Du, Haibo, Li, Shihua
Natura: Preprint
Pubblicazione: 2024
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author Chen, Weile
Du, Haibo
Li, Shihua
author_facet Chen, Weile
Du, Haibo
Li, Shihua
contents This paper proposes a new distributed finite-time differentiator (DFD) for multi-agent systems (MAS) under directed graph, which extends the differentiator algorithm from the centralized case to the distributed case by only using relative/absolute position information. By skillfully constructing a Lyapunov function, the finite-time stability of the closed-loop system under DFD is proved. Inspired by the duality principle of control theory, a distributed continuous finite-time output consensus algorithm extended from DFD for a class of leader-follower MAS is provided, which not only completely suppresses disturbance, but also avoids chattering. Finally, several simulation examples are given to verify the effectiveness of the DFD.
format Preprint
id arxiv_https___arxiv_org_abs_2402_16260
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Distributed Finite-time Differentiator for Multi-agent Systems Under Directed Graph
Chen, Weile
Du, Haibo
Li, Shihua
Multiagent Systems
This paper proposes a new distributed finite-time differentiator (DFD) for multi-agent systems (MAS) under directed graph, which extends the differentiator algorithm from the centralized case to the distributed case by only using relative/absolute position information. By skillfully constructing a Lyapunov function, the finite-time stability of the closed-loop system under DFD is proved. Inspired by the duality principle of control theory, a distributed continuous finite-time output consensus algorithm extended from DFD for a class of leader-follower MAS is provided, which not only completely suppresses disturbance, but also avoids chattering. Finally, several simulation examples are given to verify the effectiveness of the DFD.
title Distributed Finite-time Differentiator for Multi-agent Systems Under Directed Graph
topic Multiagent Systems
url https://arxiv.org/abs/2402.16260