Dynamic Feedback Synchronization of Lur'e Networks via Incremental Sector Boundedness
Dynamic Feedback Synchronization of Lur'e Networks via Incremental Sector Boundedness
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DOI：
10.1109/tac.2015.2494840
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发表时间：
2016-09
影响因子：
6.8
通讯作者：
Fan Zhang;H. Trentelman;J. Scherpen
中科院分区：
文献类型：
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作者：
Fan Zhang;H. Trentelman;J. Scherpen
在这份说明中，我们推广我们的结果同步同质Lur'e网络的静态，相对状态信息为基础的协议，从张等人的情况下，每个代理只有相对测量。我们建立了线性动态同步协议存在的充分条件。这些条件包括两个LMI的可行性以及一个耦合不等式，让人想起著名的测量反馈H∞控制中的LMI条件。我们表明，无论网络中的代理的数量，只有三个不等式。在协议矩阵的计算中，出现了互连图的拉普拉斯矩阵的特征值。特别地，表示协议的矩阵依赖于拉普拉斯矩阵的最小非零特征值和最大特征值。我们验证我们的结果通过数值模拟的例子。
In this note, we generalize our results on synchronization of homogeneous Lur'e networks by static, relative state information based protocols from Zhang et al to the case that for each agent only relative measurements are available. We establish sufficient conditions under which a linear dynamic synchronization protocol exists for such networks. These conditions involve feasibility of two LMI's together with a coupling inequality, reminiscent of the well-known LMI conditions in H∞ control by measurement feedback. We show that, regardless of the number of agents in the network, only the three inequalities are involved. In the computation of the protocol matrices, the eigenvalues of the Laplacian matrix of the interconnection graph occur. In particular, the matrices representing the protocol depend on the smallest nonzero eigenvalue and the largest eigenvalue of the Laplacian matrix. We validate our results by means of a numerical simulation example.