Fixed‐time event‐triggered consensus of second‐order multi‐agent systems with fully continuous communication free

Ding, Zhiying; Zhang, An; Yang, Pan

doi:10.1049/iet-cta.2020.0401

Cited by 17 publications

(15 citation statements)

References 53 publications

(88 reference statements)

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“…There are generally three methods to deal with disturbances, namely internal made method, disturbances observation and sliding mode control. In [27,28], the disturbance rejection method was applied to eliminate the influence of disturbances in the protocols. However, in this paper, we adopt the integral sliding mode technique combined with event-triggered to suppress disturbances.…”

Section: Fixed-time Consensus With Single Leadermentioning

confidence: 99%

“…Hence, it has ˙ X(t) = χη (t) + sgn( χ(t)). (28) In order to reduce the control cost and increase the rate of convergence, the eventtriggered sample-data control protocol is presented as…”

Section: Fixed-time Containment Control With Multiple Leadersmentioning

confidence: 99%

“…1. In existing works [27,28], the disturbance rejection method was applied to study the fixed-time consensus of MASs with external disturbances. However, the integral SMC method combination with event-triggered control mechanism are introduced to design the distributed protocol in this paper, which can effectively suppress the disturbances and achieve consensus in fixed-time.…”

Section: Introductionmentioning

confidence: 99%

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

Jiang

2021

Entropy

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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.

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Section: Fixed-time Consensus With Single Leadermentioning

confidence: 99%

Section: Fixed-time Containment Control With Multiple Leadersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Jiang

2021

Entropy

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“…To solve the consensus of multiple agents with resource constraints, the event-triggered control technique was frequently utilized. To name a few, some fixed-time algorithms for linear [23], [24] and nonlinear MASs [25]- [28] were considered under event-triggered control. Additionally, considering the complex environment, the fixed-time consensus of MASs with uncertain disturbances was investigated by proposing an event-triggered algorithm in [29].…”

Section: Introductionmentioning

confidence: 99%

“…In addition, by choosing appropriate parameters, Zeno behavior is not involved. 3) In existing results [23]- [25], the heterogeneity of agent's dynamics was not involved. This work simultaneously considers the heterogeneity, cooperation and antagonism, and proposes an event-triggered protocol to achieve fixed-time bipartite output consensus of MASs.…”

Section: Introductionmentioning

confidence: 99%

Fixed-Time Bipartite Output Consensus of Heterogeneous Multi-Agent Systems With Event-Triggered Observation

Xiang

Jiang

2023

IEEE Access

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This paper considers the fixed-time bipartite output consensus of heterogeneous multi-agent systems under a directed signed graph. Firstly, in combination with the fixed-time theory and event-triggered mechanism, a fixed-time event-triggered observer is designed to estimate the leader's state. Secondly, a dynamic variable is used to present the triggering condition, and the analytical results show that the Zeno behavior can be excluded by choosing some appropriate parameters. Moreover, a distributed fixed-time control protocol is developed based on the designed observer so that all agents can achieve bipartite output consensus in a fixed-time. Some sufficient criteria for output bipartite consensus are obtained based on inequality techniques and Lyapunov stability theory. Finally, a numerical example is employed to verify the validity of the theoretical results.INDEX TERMS Multi-agent systems; event-triggered control; bipartite output consensus; observer; fixedtime.Although a class of fixed-time control was considered in [21], [22], the event-triggered mechanism was not applied.

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Dynamic event‐triggered fixed‐time average consensus for general linear multi‐agent systems under switching topologies

Ning,

Li,

Chen

et al. 2024

Intl J Robust & Nonlinear

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This article studies the practical fixed‐time average consensus problem of general linear multi‐agent systems under switching topologies. First, a distributed fixed‐time consensus control protocol based on dynamic event‐triggered mechanism is designed by using the local information exchange between neighboring agents. The protocol introduces an internal dynamic variable and the triggering condition changes in real time based on the dynamic variable obtained online, which can significantly reduce the number of triggering events and effectively decrease the energy consumption of the multi‐agent system. Then, the sufficient conditions for the multi‐agent system to solve the practical fixed‐time average consensus problem are given, and it is proved that there is no Zeno behavior in the system. Furthermore, a self‐triggered control scheme is proposed such that the neighboring agents communicate with each other only when one of them is triggered. In other words, this scheme does not require continuous communication between neighboring agents and thus reduces communication cost of the system. Finally, the simulation results verify the effectiveness of the proposed method.

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Fixed‐time event‐triggered consensus of second‐order multi‐agent systems with fully continuous communication free

Cited by 17 publications

References 53 publications

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

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

Fixed-Time Bipartite Output Consensus of Heterogeneous Multi-Agent Systems With Event-Triggered Observation

Dynamic event‐triggered fixed‐time average consensus for general linear multi‐agent systems under switching topologies

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