Event-Triggered Fixed-Time Integral Sliding Mode Control for Nonlinear Multi-Agent Systems with Disturbances

In this paper, the leader-following consensus problem of first-order nonlinear multi-agent systems (FONMASs) with external disturbances is studied. Firstly, a novel distributed fixed-time sliding mode manifold is designed and a new static event-triggered protocol over general directed graph is propo...

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Autores principales:	Xue Li, Zhiyong Yu, Haijun Jiang
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	multi-agent systems sliding mode control leader-following consensus fixed-time Science Q Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/982f675f54be40fbba159c34e480283c
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id	oai:doaj.org-article:982f675f54be40fbba159c34e480283c
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spelling	oai:doaj.org-article:982f675f54be40fbba159c34e480283c2021-11-25T17:29:27ZEvent-Triggered Fixed-Time Integral Sliding Mode Control for Nonlinear Multi-Agent Systems with Disturbances10.3390/e231114121099-4300https://doaj.org/article/982f675f54be40fbba159c34e480283c2021-10-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1412https://doaj.org/toc/1099-4300In this paper, the leader-following consensus problem of first-order nonlinear multi-agent systems (FONMASs) with external disturbances is studied. Firstly, a novel distributed fixed-time sliding mode manifold is designed and a new static event-triggered protocol over general directed graph is proposed which can well suppress the external disturbances and make the FONMASs achieve leader-following consensus in fixed-time. Based on fixed-time stability theory and inequality technique, the conditions to be satisfied by the control parameters are obtained and the Zeno behavior can be avoided. In addition, we improve the proposed protocol and propose a new event-triggering strategy for the FONMASs with multiple leaders. The systems can reach the sliding mode surface and achieve containment control in fixed-time if the control parameters are designed carefully. Finally, several numerical simulations are given to show the effectiveness of the proposed protocols.Xue LiZhiyong YuHaijun JiangMDPI AGarticlemulti-agent systemssliding mode controlleader-following consensusfixed-timeScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1412, p 1412 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	multi-agent systems sliding mode control leader-following consensus fixed-time Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	multi-agent systems sliding mode control leader-following consensus fixed-time Science Q Astrophysics QB460-466 Physics QC1-999 Xue Li Zhiyong Yu Haijun Jiang Event-Triggered Fixed-Time Integral Sliding Mode Control for Nonlinear Multi-Agent Systems with Disturbances
description	In this paper, the leader-following consensus problem of first-order nonlinear multi-agent systems (FONMASs) with external disturbances is studied. Firstly, a novel distributed fixed-time sliding mode manifold is designed and a new static event-triggered protocol over general directed graph is proposed which can well suppress the external disturbances and make the FONMASs achieve leader-following consensus in fixed-time. Based on fixed-time stability theory and inequality technique, the conditions to be satisfied by the control parameters are obtained and the Zeno behavior can be avoided. In addition, we improve the proposed protocol and propose a new event-triggering strategy for the FONMASs with multiple leaders. The systems can reach the sliding mode surface and achieve containment control in fixed-time if the control parameters are designed carefully. Finally, several numerical simulations are given to show the effectiveness of the proposed protocols.
format	article
author	Xue Li Zhiyong Yu Haijun Jiang
author_facet	Xue Li Zhiyong Yu Haijun Jiang
author_sort	Xue Li
title	Event-Triggered Fixed-Time Integral Sliding Mode Control for Nonlinear Multi-Agent Systems with Disturbances
title_short	Event-Triggered Fixed-Time Integral Sliding Mode Control for Nonlinear Multi-Agent Systems with Disturbances
title_full	Event-Triggered Fixed-Time Integral Sliding Mode Control for Nonlinear Multi-Agent Systems with Disturbances
title_fullStr	Event-Triggered Fixed-Time Integral Sliding Mode Control for Nonlinear Multi-Agent Systems with Disturbances
title_full_unstemmed	Event-Triggered Fixed-Time Integral Sliding Mode Control for Nonlinear Multi-Agent Systems with Disturbances
title_sort	event-triggered fixed-time integral sliding mode control for nonlinear multi-agent systems with disturbances
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/982f675f54be40fbba159c34e480283c
work_keys_str_mv	AT xueli eventtriggeredfixedtimeintegralslidingmodecontrolfornonlinearmultiagentsystemswithdisturbances AT zhiyongyu eventtriggeredfixedtimeintegralslidingmodecontrolfornonlinearmultiagentsystemswithdisturbances AT haijunjiang eventtriggeredfixedtimeintegralslidingmodecontrolfornonlinearmultiagentsystemswithdisturbances
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Event-Triggered Fixed-Time Integral Sliding Mode Control for Nonlinear Multi-Agent Systems with Disturbances

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