IEEE Trans Cybern. 2017 Aug;47(8):2067-2078. doi: 10.1109/TCYB.2016.2627881. Epub 2016 Nov 22.
This paper designs a new leader-following consensus protocol for second-order multiagent systems with time-varying sampling. For the first time in designing a leader-following protocol, the concept of betweenness centrality is adopted to analyze the information flow in the consensus problem for multiagent systems. By construction of a suitable Lyapunov-Krasovskii functional, some criteria for designing consensus protocols of such systems are established in terms of linear matrix inequalities which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the validity of the proposed argument.
本文设计了一种新的具有时变采样的二阶多智能体系统的领导跟随一致性协议。在设计领导跟随协议时，首次采用介数中心度的概念来分析多智能体系统一致性问题中的信息流。通过构造合适的李雅普诺夫-克拉索夫斯基泛函，以线性矩阵不等式的形式给出了此类系统的一致性协议设计准则，这些准则可以通过各种有效的优化算法来轻松求解。给出了一个数值实例来说明所提出方法的有效性。
