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Periodic Event-Triggered Condition Design for the Consensus of Multiagent Systems with Communication Delays

机译：具有通信延迟的多主体系统共识的周期性事件触发条件设计

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摘要

This paper focuses on the periodic event-triggered consensus problem for multiagent systems under undirected graph. In the periodic event-triggered control, the event condition is tested only periodically to decide when to exert the control behaviors and when to broadcast the sampling data. Two sets of event-triggered strategies combining with sampled-data control are designed based on an exponential decay function and a quadratic Lyapunov function, respectively. Some useful theorems for these two periodic event-triggered strategies about the choice of period are derived to guarantee the asymptotical stability of the closed-loop multiagent systems. In addition, this paper gives a sufficient condition about the bounds of communication delay for the multiagent systems. It is rigorously proved that the overall system will achieve the consensus under the proposed strategy if the period and time delay satisfy the theorems. Finally, we extend these solutions to general linear dynamical systems. Simulation results are presented to show the effectiveness.
机译：本文针对无向图下多主体系统的周期事件触发共识问题。在定期事件触发控制中，仅定期测试事件条件，以决定何时施加控制行为以及何时广播采样数据。分别基于指数衰减函数和二次李雅普诺夫函数设计了两组事件触发策略与采样数据控制相结合。推导了这两种周期性的事件触发策略有关周期选择的一些有用的定理，以确保闭环多主体系统的渐近稳定性。另外，本文给出了关于多智能体系统的通信延迟范围的充分条件。严格证明，如果周期和时延满足定理，则整个系统将在所提出的策略下达到共识。最后，我们将这些解决方案扩展到一般的线性动力系统。仿真结果表明了该方法的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2016年第5期|3408152.1-3408152.9|共9页
  • 作者

    Zhou Feng; Huang Zhiwu; Liu Weirong; Li Liran; Gao Kai;

  • 作者单位

    Cent S Univ, Sch Informat Sci & Engn, Changsha 410075, Hunan, Peoples R China;

    Cent S Univ, Sch Informat Sci & Engn, Changsha 410075, Hunan, Peoples R China;

    Cent S Univ, Sch Informat Sci & Engn, Changsha 410075, Hunan, Peoples R China;

    Cent S Univ, Sch Informat Sci & Engn, Changsha 410075, Hunan, Peoples R China;

    Changsha Univ Sci & Technol, Coll Automot & Mech Engn, Changsha 410114, Hunan, Peoples R China;

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