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Distributed Consensus of Layered Multi-Agent Systems Subject to Attacks on Edges
IEEE Transactions on Circuits and Systems I: Regular Papers ( IF 5.1 ) Pub Date : 2020-09-01 , DOI: 10.1109/tcsi.2020.2986953
Guanghui Wen , Peijun Wang , Tingwen Huang , Jinhu Lu , Fan Zhang

This paper addresses the consensus problem for two-layered MASs (multi-agent systems) subject to attacks on communication edges. Unlike most existing two-layered MAS models, the considered MASs are allowed to have heterogeneous inner communication topologies between the different layers. By using the linear transformation technique, some sufficient criteria are first given to achieve consensus among the leaders within the leader layer where the condition that the interaction topology has directed spanning trees with a fixed root required in most existing works has been removed. Furthermore, based on the relative outputs, observer-based controllers are designed to achieve node-to-node consensus among the two layers. By developing a new kind of multiple Lyapunov function (MLF) based on a bisection search method, some criteria are established under which the node-to-node consensus error will converge into a bounded set asymptotically. It is interestingly found that a less conservative average dwell time (ADT) constraint is obtained for achieving node-to-node consensus by utilizing the proposed MLF compared with that yielded by the traditional MLF constructed from nonsingular $M$ matrix theory. Moreover, we show that consensus can be achieved asymptotically in the layered MASs with the same inner topology subject to synchronous attacks under some suitable conditions. Finally, the effectiveness of the criteria is verified by simulation on networking linear oscillators.

中文翻译:

受边缘攻击的分层多代理系统的分布式共识

本文解决了受到通信边缘攻击的两层 MAS(多代理系统)的共识问题。与大多数现有的两层 MAS 模型不同,所考虑的 MAS 允许在不同层之间具有异构内部通信拓扑。通过使用线性变换技术,首先给出了一些足够的标准来在领导层内的领导者之间达成共识,其中交互拓扑指向具有固定根的生成树在大多数现有工作中所需的条件已被删除。此外,基于相对输出,基于观察者的控制器被设计为在两层之间实现节点到节点的共识。通过开发一种基于二分搜索方法的新型多重李雅普诺夫函数(MLF),建立了一些标准,在这些标准下,节点到节点的共识误差将渐近收敛到一个有界集。有趣的是,与由非奇异 $M$ 矩阵理论构建的传统 MLF 产生的约束相比,通过利用所提出的 MLF 获得了用于实现节点到节点共识的不太保守的平均停留时间 (ADT) 约束。此外,我们表明,在某些合适的条件下,可以在具有相同内部拓扑结构的分层 MAS 中渐近地实现共识,这些 MAS 受到同步攻击。最后,通过网络线性振荡器的仿真验证了该准则的有效性。有趣的是,与由非奇异 $M$ 矩阵理论构建的传统 MLF 产生的约束相比,通过利用所提出的 MLF 获得了用于实现节点到节点共识的不太保守的平均停留时间 (ADT) 约束。此外,我们表明,在某些合适的条件下,可以在具有相同内部拓扑结构的分层 MAS 中渐近地实现共识,这些 MAS 受到同步攻击。最后,通过网络线性振荡器的仿真验证了该准则的有效性。有趣的是,与由非奇异 $M$ 矩阵理论构建的传统 MLF 产生的约束相比,通过利用所提出的 MLF 获得了用于实现节点到节点共识的不太保守的平均停留时间 (ADT) 约束。此外,我们表明,在一些合适的条件下,可以在具有相同内部拓扑结构的分层 MAS 中渐近地实现共识,这些 MAS 受到同步攻击。最后,通过网络线性振荡器的仿真验证了该准则的有效性。我们表明,在某些合适的条件下,可以在具有相同内部拓扑结构的分层 MAS 中渐近地实现共识,这些 MAS 受到同步攻击。最后,通过网络线性振荡器的仿真验证了该准则的有效性。我们表明,在某些合适的条件下,可以在具有相同内部拓扑结构的分层 MAS 中渐近地实现共识,这些 MAS 受到同步攻击。最后,通过网络线性振荡器的仿真验证了该准则的有效性。
更新日期:2020-09-01
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