Impulsive average-consensus of multi-agent systems with time-delays

Wei, Linna; Chen, Wu‐Hua; Luo, Shixian; Huang, Guoquan

doi:10.1016/j.jfranklin.2021.11.030

Cited by 11 publications

(6 citation statements)

References 42 publications

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“…Hence, the Laplacian matrices

{L}_u(t),u=1,3

satisfy

{\sup}_{t\in \left[{t}_0,\infty \right)}\left\Vert {L}_u(t)\right\Vert \triangleq {l}_u<\infty

. Remark Assumption 1 means the connection strengths among the agents are finite, which meets the requirements of the actual environment 15,17,40 .

\left({t}_k,{t}_{k+1}\right]

is divided into three different time intervals in which the control methods are different.…”

Section: Problem Statementmentioning

confidence: 99%

“…16 The results about the consensus of MASs with delayed impulses were explored. 17 In the above works the occurrence time of impulses is usually assumed to be fixed or calculated. However, in practical applications random or uncertain factors may cause the error between the actual impulsive instant and the expected ones.…”

Section: Introductionmentioning

confidence: 99%

“…By using a discretization method to analyze the designed impulsive control strategy, the asynchronous consensus criteria of second‐order MASs were obtained 16 . The results about the consensus of MASs with delayed impulses were explored 17 . In the above works the occurrence time of impulses is usually assumed to be fixed or calculated.…”

Section: Introductionmentioning

confidence: 99%

“…For Remark 1. Assumption 1 means the connection strengths among the agents are finite, which meets the requirements of the actual environment 15,17,40. (t k , t k+1 ] is divided into three different time intervals in which the control methods are different.…”

mentioning

confidence: 99%

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Consensus of nonlinear multi‐agent systems via distributed hybrid controls

Wei

Liao

Luo

et al. 2023

Intl J Robust & Nonlinear

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The consensus problem of nonlinear multi-agent systems with nonuniform time-varying connection topologies via two novel distributed hybrid control protocols is discussed. By using the degrees of freedom brought by coupling weights, impulsive control with impulse time windows integrates intermittent control and impulsive control into a unified control framework and is more suitable for the situations where only the time intervals in which impulses occur are known but the exact instants of impulses cannot be identified. Compared with intermittent control, the intermittent impulsive control (IIC) reduces the amount of data transmission and improves the security of the system. The introduction of the rest windows makes the IIC break the limit of the upper bound of impulsive intervals of general impulsive control, and the system is easier to maintain according to plan. Control-time-dependent Lyapunov function based methods are developed to overcome the difficulty of stability analysis of the error systems caused by continuous switching of multiple dynamic subsystems. Two consensus criteria are presented and the corresponding controller design schemes are proposed. The results can uniformly deal with the positive and negative effects of impulses, and do not require at least one subsystem of the error system to be stable. Three examples are given to demonstrate the effectiveness of the derived theoretical results.

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“…Hence, the Laplacian matrices

{L}_u(t),u=1,3

satisfy

{\sup}_{t\in \left[{t}_0,\infty \right)}\left\Vert {L}_u(t)\right\Vert \triangleq {l}_u<\infty

. Remark Assumption 1 means the connection strengths among the agents are finite, which meets the requirements of the actual environment 15,17,40 .

\left({t}_k,{t}_{k+1}\right]

is divided into three different time intervals in which the control methods are different.…”

Section: Problem Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Consensus of nonlinear multi‐agent systems via distributed hybrid controls

Wei

Liao

Luo

et al. 2023

Intl J Robust & Nonlinear

Self Cite

View full text Add to dashboard Cite

show abstract

“…For example, consensus with input and communication delays is achieved by a Lyapunov-Krasovskii functional with sufficient conditions in terms of input-delay-dependent LMIs in Jiang et al [23], where the communication topology is assumed to be fixed. The average consensus of linear multiagent with time delay is solved by time-varying Lyapunov method in Wei et al [24], in where the model of agents considered is first order and homogeneous. As point out in Zhou [25], such a controller is incapable of stabilizing systems with arbitrarily large delays due to the infinite-dimensionality nature of the closed-loop systems it results in.…”

Section: Introductionmentioning

confidence: 99%

Robust consensus of heterogeneous multiagent systems with switching topologies: A time‐delay case

Huang

Liu

et al. 2022

Asian Journal of Control

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The robust leader‐following consensus of heterogeneous multiagent systems under switching communication topologies is investigated in this paper. Especially, the input delay is considered in each follower. In order to access the information of leader through time‐varying communication, a type of distributed dynamic compensator is proposed for every follower firstly, which get rid of the dependence on the global spectrum information and is proved that it can be viewed as a asymptotic observer of the leader. Then combined with the internal model principle, two types of distributed control law are proposed based on the compensator. By applying the truncated predictor feedback scheme to synthesize the closed‐loop systems, it is proved that the consensus can be achieved by both of the control laws despite the existence of the input delay and the plant parameters perturbations. Finally, numerical simulations are illustrated to demonstrate the results.

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Adaptive Non-singular Fast Terminal Sliding Mode Control for Car-Like Vehicles with Faded Neighborhood Information and Actuator Faults

Hussein,

Zhang,

Liu

2024

J Intell Robot Syst

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This study addresses the problem of cooperative control design for a group of car-like vehicles encountering fading channels, actuator faults, and external disturbances. It is presumed that certain followers lack direct access to the states of the leader via a directed graph. This arises challenges in maintaining synchronization and coordination within the network. The proposed control strategy utilizes non-singular fast terminal sliding mode control to accelerate consensus tracking and enhance the convergence of the overall system. This controller is designed to mitigate the impact of actuator faults in the presence of fading channels in the communication network. The effects of such issues on team performance are rigorously analyzed. Based on the Lyapunov stability principle, it has been demonstrated that the controller is capable of providing satisfactory performance for the entire system despite these challenges. Moreover, vehicle synchronization can be effectively maintained. Numerical simulations are conducted to verify the theoretical findings.

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Impulsive average-consensus of multi-agent systems with time-delays

Cited by 11 publications

References 42 publications

Consensus of nonlinear multi‐agent systems via distributed hybrid controls

Consensus of nonlinear multi‐agent systems via distributed hybrid controls

Robust consensus of heterogeneous multiagent systems with switching topologies: A time‐delay case

Adaptive Non-singular Fast Terminal Sliding Mode Control for Car-Like Vehicles with Faded Neighborhood Information and Actuator Faults

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