Impulsive Consensus of Nonlinear Multi-Agent Systems via Edge Event-Triggered Control

Xu, Ziqiang; Li, Chuandong; Han, Yiyan

doi:10.1109/tnnls.2019.2927623

Cited by 55 publications

(11 citation statements)

References 32 publications

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“…where P H i is the solution to (15). 𝜅 min and 𝜅 max capture the property of all possible underling communication networks.…”

Section: Resultsmentioning

confidence: 99%

“…11,12 Due to the relay mechanism, the dynamics of pursuers are naturally impulsive and nonsmooth, 11 since the lumped states of pursuers may be subjected to an abrupt change when some agents leave and some join into the pursuing group. The impulsive effects have been addressed in nonrelay cooperative control of multi-agent systems, [13][14][15] but the extension to the relay scenario is not straightforward. In this paper, the impulsive properties are induced by the switching of pursuing agents at the relay instants, while the impulsive characteristic is properly designed by the controller design in aforementioned papers.…”

Section: Introductionmentioning

confidence: 99%

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Cooperative relay pursuit with input saturation constraint and external disturbances

Zhu

Han

et al. 2022

Intl J Robust & Nonlinear

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This paper studies a class of tracking consensus problem called the cooperative relay pursuit where a group of agents cooperatively pursuit and capture an evading agent that enters the surveillance region. A subgroup of agents closest to the evader is commanded to pursuit the evader and thus called pursuers, while others called surveillance agents stay at their origin places. A relay mechanism is introduced to respect the pursuit efficiency, energy constraints and other factors. As the evader moves, some pursuers that do not remain the closest vicinity of the evader leave the pursuing group, while some surveillance agents that become more closer to the evader join into the pursuing. Due to the relay mechanism, the dynamics of pursuers are naturally an impulsive system and thus is nonsmooth. This paper aims to propose a distributed controller to achieve cooperative relay pursuit even when agents are subjected to both input saturation constraint and external disturbances. A modified algebraic Riccati equation and low‐gain technique are proposed to achieve the tracking consensus with an H∞$$ {H}_{\infty } $$ performance. A simulation example is provided to validate the theoretical results.

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“…where P H i is the solution to (15). 𝜅 min and 𝜅 max capture the property of all possible underling communication networks.…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Cooperative relay pursuit with input saturation constraint and external disturbances

Zhu

Han

et al. 2022

Intl J Robust & Nonlinear

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“…The consistency issue is always a hotspot in the self-organising system research field, which has been applied in physics [4][5][6], chemistry [7], biology [8][9][10][11][12], computer science [13,14], humanistic sociology, managing science [15], etc. Therein, the opinion consensus issue has attracted more and more scholars due to its wide application prospect.…”

Section: Two Opinion Dynamics Modelsmentioning

confidence: 99%

Research on threat assessment problems of island air defence system based on the leader-follower model

Wang

Cheng

Shan

et al. 2022

Applied Mathematics and Nonlinear Sciences

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To study the command and control system in an island air defence system under the background of systemic conflict, this paper proposes a new modelling method based on the opinion dynamics leader-follower model to simulate the target threat assessment process in the command and control activities. Through example simulation, it is obtained that in a centralised command and control system, a command post (CP)-led model can provide the most accurate threat assessment results, but it consumes a longer time. While in a distributed command and control system, a model without a leader can provide a target threat value accurately and quickly. The consistency of simulation results and actual situation indicates that, at present, under a high degree of battlefield information sharing, it is necessary to down-pass the authority of the CP to improve operational efficiency. In summary, the proposed model can comprehensively reflect the process that the island air defence system assesses the threat of an attacking target, and it gives a new idea for investigating the command and control procedure and system of the island air defence system.

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“…In paper [7], Reza Olfati and Richard M. Murray summarised the methods of solving the consensus problem of linear multi-agent systems. Whereafter, many researchers improved the theory of consensus and carried on more thorough researches, such as impulsive control [8,9], event-triggered control [10,11], adaptive control [12,13] and so on. In addition, nonlinear system as another hot topic also has been focused on because it is more in line with the real-world situation and exists omnipresent [14,15].…”

Section: Introductionmentioning

confidence: 99%

“…The author used the relative states of any two agents to design the impulsive surface for achieving consensus of discrete-time nonlinear multi-agent systems in paper [30]. Compared with [11,27] of fixed-time impulses, the variable impulsive strategies in paper [30] are wider applications in real world. However, it is more complicated to study the variable impulses due to the technical and theoretical immaturity, and the obtained conditions of convergency are more conservative than the fixed-time ones.…”

Section: Introductionmentioning

confidence: 99%

Fully relative state constraint impulsive consensus of nonlinear multi‐agent systems via state‐dependent impulsive protocols

Zhang

et al. 2020

IET Control Theory & Appl

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In this paper, the state‐dependent impulsive consensus problem of nonlinear multi‐agent systems in directed topology with fully relative state constraint impulses is investigated. State‐dependent impulsive protocols are designed for achieving leader‐following exponential consensus. By constructing comparison systems, consensus problem of multi‐agent systems with state‐dependent impulses can be simplified to the ones with fixed‐time impulses. In addition, state constraint impulses are considered to limit the jump values of impulses beyond the threshold. Based on algebraic graph theory, convex analysis, comparison principle and stability theory, some novel criteria of impulsive consensus have been proposed. Authors' main results indicate that fully relative state constraint impulsive consensus of nonlinear multi‐agent systems via state‐dependent impulsive protocols can be achieved if the nonlinear systems satisfy suitable conditions. Numerical simulations are presented to validate the effectiveness of theoretical results.

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Impulsive Consensus of Nonlinear Multi-Agent Systems via Edge Event-Triggered Control

Cited by 55 publications

References 32 publications

Cooperative relay pursuit with input saturation constraint and external disturbances

Cooperative relay pursuit with input saturation constraint and external disturbances

Research on threat assessment problems of island air defence system based on the leader-follower model

Fully relative state constraint impulsive consensus of nonlinear multi‐agent systems via state‐dependent impulsive protocols

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