Distributed integral‐type event‐triggered synchronization of multiagent systems

Zhang, Zhiqiang; Wang, Long

doi:10.1002/rnc.4227

Cited by 26 publications

(29 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Consider that a nonnegative function ψ(t, ψ 0 ) satisfies _ ψ � (||A|| + ‖BK((L i + a i0 ) ⊗ I n )‖)(1 + ψ) 2 and ψ 0 � 0, according to Lemma 3, z i ≤ ψ(t, 0). It can be seen from (36),…”

Section: □ Theorem 4 Under the Conditions Of Eorem 3 System (38) Domentioning

confidence: 98%

“…(38) Theorem 3. Under Assumption 1, the multiagent systems (3) with protocol (35) can track system (2) successfully under the event-triggering condition (36), where K � B T P and W � PBB T P.…”

Section: Decentralized Event-triggered Control Strategymentioning

confidence: 99%

“…In recent years, more and more attention has been paid to general linear systems. In [36], the consensus of general linear multiagent systems under integral event-triggered strategy has been considered. In [37], the consensus of general linear systems under fixed topology and switching topologies has been investigated.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Event-Based Consensus for General Linear Multiagent Systems under Switching Topologies

Sun

Liu

2020

Complexity

View full text Add to dashboard Cite

In this paper, event-triggered leader-following consensus of general linear multiagent systems under both fixed topology and switching topologies is studied. First, centralised and decentralised event-triggered control strategies based on neighbors' state estimation are proposed under fixed topology, in which the controller is only updated at the time of triggering. Obviously, compared with the continuous time control algorithms, the event-triggered control strategies can reduce the communication frequency among agents effectively. Meanwhile, event-triggering conditions are derived for systems to achieve consensus by using the Lyapunov stability theory and model transformation method. en, the theoretical results obtained under the fixed topology are extended to the switching topologies, and the sufficient conditions for the system to achieve leader-following consensus under the switching topologies are given. However, different from fixed topology, the control input of each agent is updated both at event-triggering and topology switching time. Finally, Zeno behaviors can be excluded by proving that the minimum triggering interval of each agent is strictly positive, and the effectiveness of the event-triggered protocol is verified by simulation experiments.

show abstract

Section: □ Theorem 4 Under the Conditions Of Eorem 3 System (38) Domentioning

confidence: 98%

Section: Decentralized Event-triggered Control Strategymentioning

confidence: 99%

See 1 more Smart Citation

Event-Based Consensus for General Linear Multiagent Systems under Switching Topologies

Sun

Liu

2020

Complexity

View full text Add to dashboard Cite

show abstract

“…Several advanced results on event‐triggered control have been reported in literature. For instance, the consensus problems under event‐triggered mechanism were studied for single‐ or double‐integrator systems, and general linear systems . Moreover, the self‐learning optimal regulation for nonlinear systems was well addressed by the event‐driven method with iterative DHP algorithm .…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, the disturbances considered in this article are more challenging in three cases: (a) the disturbances are not available for measurement; (b) the disturbances suffered by each agent are heterogeneous, and (c) the disturbances are not required to be stable or bounded. The points including unbounded, heterogeneous, and immeasurable external disturbances, heterogeneous MASs, event‐triggered control, adaptive control, and bipartite control are taken into account in the meantime. Compared with the existing results where only a part of points are considered, the proposed method is more extensive. Compared with the existing methods, most of them cannot be applied in our article directly, since there exist some limitations such as continuous communication, single‐ or double‐ integrator dynamics, homogeneous linear dynamics, and global information‐dependent parameter design . Therefore, the method in this article is more general.…”

Section: Introductionmentioning

confidence: 99%

Fully distributed bipartite output consensus of heterogeneous linear multiagent systems based on event‐triggered transmission mechanism

Cai

2020

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

This study investigates the fully distributed bipartite output consensus issue of heterogeneous linear multiagent systems (HLMASs) based on event-triggered transmission mechanism. Both the cooperative interaction and the antagonistic interaction between neighbor agents are considered. A fully distributed bipartite compensator consisting of time-varying coupling gain and dynamic event-triggered mechanism is first proposed to estimate the leader's states. Different from the existing schemes, the proposed compensator is independent of any global information of the network topology, is capable of achieving intermittent communication between neighbors, and is applicable for the signed communication topology. Then the distributed output feedback control protocol is developed such that the fully distributed bipartite event-triggered output consensus problem can be achieved. Moreover, we extend the results in HLMASs without external disturbances to HLMASs with disturbances, which is more challenging in three cases (a) the disturbances are not available for measurement, (b) the disturbances suffered by each agent are heterogeneous, and (c) the disturbances are not required to be stable or bounded. It is proven that the proposed controllers fulfill the exclusion of Zeno behavior in two consensus problems. Finally, two examples are provided to illustrate the feasibility of the theoretical results. K E Y W O R D Sadaptive control, bipartite control, event-triggered control, external disturbances, heterogeneous multiagent systems, output consensus 1 Recent years have witnessed rapid development in distributed cooperative control of multiagent systems (MASs) due to its extensive applications such as energy internet, mobile robot, and unmanned aerial vehicle formation. 1-3 As one of the most basic and pivotal problems in the cooperative control, the distributed consensus control has received considerable attention from investigators. It aims at designing the distributed control scheme such that a set of agents reach an agreement on state or output. Some pioneering works on this topic can be found in References 4-12 and references therein. For example, many early studies focused on the relative simple systems including single-integrator systems 4,5 and double-integrator systems. 6,7 Since then, many efforts have been devoted to the more general linear MASs. 8,9 Note 3382 /journal/rnc Int J Robust Nonlinear Control. 2020;30:3382-3410.CAI et al. 3383that the aforementioned works are developed on homogeneous systems, that is, the system dynamics of all agents are the same. However, in many practical scenarios, the system dynamics are often different. In this regard, the output consensus problem of heterogeneous MASs is usually studied. Several typical results have been obtained (see References 10-12 and the references therein). From the review of the control protocols in above-mentioned works, it can be observed that continuous communication between each agent and its neighbors is required. However, in many real applications, each ...

show abstract

Dynamic event‐triggered control for the leader‐following consensus of multi‐agent systems with input time delay

Pu,

Hou,

2024

Adaptive Control & Signal

View full text Add to dashboard Cite

SummaryIn this article, the leader‐following consensus of a kind of linear homogeneous MASs (multi‐agent systems) with input time delay is investigated. To realize leader‐following consensus, a novel distributive input control protocol based on dynamic event‐triggered mechanism is proposed. In this novel protocol, internal dynamic variables are employed to reduce the burden of communication and exclude the Zeno phenomenon. By utilizing the graph algebra, stability analysis and Lyapunov theory, some sufficient conditions have been obtained for the consensus of this MASs. The effectiveness of our approach is illustrated by some simulation examples. Compared with the given achievements, the obtained results have better ability in accelerating convergence rate and reducing the burden of communication.

show abstract

Distributed integral‐type event‐triggered synchronization of multiagent systems

Cited by 26 publications

References 33 publications

Event-Based Consensus for General Linear Multiagent Systems under Switching Topologies

Event-Based Consensus for General Linear Multiagent Systems under Switching Topologies

Fully distributed bipartite output consensus of heterogeneous linear multiagent systems based on event‐triggered transmission mechanism

Dynamic event‐triggered control for the leader‐following consensus of multi‐agent systems with input time delay

Contact Info

Product

Resources

About