Adaptive event-triggered consensus of multi-agent systems with general linear dynamics

Tian, Changyuan; Liu, Kaien; Ji, Zhijian

doi:10.1080/00207721.2021.2023687

Cited by 15 publications

(9 citation statements)

References 36 publications

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“…Proof. Choose the same Lyapunov function candidate as (21). Also, we first assume that r = 2 for the convenience of expression.…”

Section: Consensus Under Event-trigger Conditions (14) and (15)mentioning

confidence: 99%

“…Finite/fixed-time consensus algorithms via event-triggered control were designed in the work of Liu et al 17 The event-triggered consensus tracking problem was investigated for switched stochastic nonlinear MASs in the work of Zou et al 18 Distributed adaptive event-triggered protocols were designed for MASs with general linear dynamics. [19][20][21][22] Hybrid event-triggered control of linear MASs via a fully distributed approach was proposed in the work of Luo and Ye. 23 The average consensus problem for MASs over undirected and connected topologies was considered in the work of Meng and Chen, 24 where the event-check condition was based on periodic sampled-data.…”

Section: Introductionmentioning

confidence: 99%

“…Li et al 16 investigated event‐triggered consensus of MASs with nonlinear dynamics and directed topology. Finite/fixed‐time consensus algorithms via event‐triggered control were designed in the work of Liu et al 17 The event‐triggered consensus tracking problem was investigated for switched stochastic nonlinear MASs in the work of Zou et al 18 Distributed adaptive event‐triggered protocols were designed for MASs with general linear dynamics 19‐22 . Hybrid event‐triggered control of linear MASs via a fully distributed approach was proposed in the work of Luo and Ye 23 .…”

Section: Introductionmentioning

confidence: 99%

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Dynamic event‐triggered consensus of multi‐agent systems under directed topology

Liu

2023

Intl J Robust & Nonlinear

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Summary Event‐triggered consensus of multi‐agent systems (MASs) under directed topology is investigated in this paper. First, one shortcoming about the event‐trigger conditions in some recent results is pointed out through a counterexample. Then, two reasonable event‐trigger conditions are proposed and analyzed. Meanwhile, a novel dynamic event‐trigger strategy is applied in the two designed event‐trigger conditions, in which an auxiliary term is introduced for each agent to regulate its threshold dynamically. It is proved that the dynamic term plays an essential role in excluding Zeno behavior. The case of strongly connected topology is first investigated. Then, the results are extended to the more general topology containing a spanning tree. Numerical example is provided to illustrate the effectiveness of the designed event‐trigger conditions.

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“…Proof. Choose the same Lyapunov function candidate as (21). Also, we first assume that r = 2 for the convenience of expression.…”

Section: Consensus Under Event-trigger Conditions (14) and (15)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamic event‐triggered consensus of multi‐agent systems under directed topology

Liu

2023

Intl J Robust & Nonlinear

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“…Assume that Assumptions 1-3 hold. The MAS (2) using protocol (21) can achieve fixed-time consensus with K = B T P, where P > 0 is the solution to (4). That is, there exists a positive number T such that lim t→ T ||q i (t) − q 𝑗 (t)|| = 0, ∀i, 𝑗 ∈ .…”

Section: Distributed Fixed-time Adaptive Consensusmentioning

confidence: 99%

“…In Ji et al [19], the leader-following consensus problems of fractional-order MASs with linear and nonlinear dynamics were investigated, respectively, and distributed adaptive protocols were proposed. The event-triggered consensus of general linear MASs with adaptive strategy was investigated in Liu and Ji [20] and Tian et al [21].…”

Section: Introductionmentioning

confidence: 99%

Finite‐time and fixed‐time adaptive consensus of multi‐agent systems with general linear dynamics

Cui

Liu

et al. 2023

Math Methods in App Sciences

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This paper investigates the adaptive consensus problem of general linear multi‐agent systems. Finite‐time consensus and fixed‐time consensus are both discussed. In order to remove the dependence on global information about system topology, distributed adaptive mechanisms are introduced. Compared with the existing asymptotic consensus results, the system's convergence speed is improved by the proposed distributed finite‐time consensus protocol. Furthermore, a distributed fixed‐time consensus protocol is proposed to remove the dependence on system's initial state. Under the fixed‐time consensus protocol, it is proved that an upper bound of the system's convergence time can be estimated. Sufficient conditions are given to ensure that all agents can achieve consensus in finite time and fixed time, respectively. Finally, the effectiveness of the proposed protocols is illustrated by a simulation example.

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Bipartite consensus of linear multi‐agent systems with intermittent event‐triggered protocols

Zhao,

Liu,

Wang

2023

Math Methods in App Sciences

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In this paper, bipartite consensus of linear multi‐agent systems with structually balanced signed network is investigated. In particularly, control protocols for consensus are considered to work under an intermittent framework due to some unavoidable factors. Meanwhile, the event‐triggered mechanism is introduced in order to reduce the update frequency of control input. Based on distributed intermittent event‐triggered control, some sufficient conditions are proposed to ensure leaderless and leader‐following bipartite consensus. Moreover, minimum event‐triggered intervals are set to be positive in advance to exclude Zeno behavior. Finally, two numerical examples are provided to verify the effectiveness of theoretical results.

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Adaptive event-triggered consensus of multi-agent systems with general linear dynamics

Cited by 15 publications

References 36 publications

Dynamic event‐triggered consensus of multi‐agent systems under directed topology

Dynamic event‐triggered consensus of multi‐agent systems under directed topology

Finite‐time and fixed‐time adaptive consensus of multi‐agent systems with general linear dynamics

Bipartite consensus of linear multi‐agent systems with intermittent event‐triggered protocols

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