A Novel Approach for Positive Edge Consensus of Nodal Networks

A Novel Approach for Positive Edge Consensus of Nodal Networks
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节点网络正边缘共识的新方法

DOI:
10.1016/j.jfranklin.2020.02.054
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发表时间:
2020-05
期刊:
Journal of the Franklin Institute
影响因子:
--
通讯作者:
Jason J.R.Liu
Jason J.R.Liu
中科院分区:
其他
文献类型:
--
作者:
Yukang Cui;Nachuan Yang;Jason J.R.Liu

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本文研究了具有Luenberger扩散器动态输出反馈控制器的节点网络的正边一致性。节点网络的线图是用来模拟边之间的相互作用的,它是有向的,并假设包含一棵生成树。基于图论和正系统理论的结果,分析了正边一致性问题,给出了协议设计条件。此外,一个半定规划算法的发展,以解决正边一致性问题。与最近的工作[24]相比,其中节点图被假设为强连通和平衡的,我们研究了更一般的情况下,其中线图被假设为包含一个生成树的正边一致性问题。最后,通过数值仿真验证了所提方法的有效性.
In this paper, we investigate the positive edge consensus of nodal networks with Luenberger observer-based dynamic output-feedback controllers. The line graph of a nodal network, which is used to model the interaction among edges, is directed and assumed to contain a spanning tree. Based on the results in graph theory and positive systems theory, positive edge consensus problem is analyzed and the protocol design condition is given. Moreover, a semi-definite programming algorithm is developed to solve the positive edge consensus problem. Compared with the recent work [24] where the nodal graph is assumed to be strongly connected and balanced, we study the positive edge consensus problem in a more general case, where the line graph is assumed to contain a spanning tree. Finally, the numerical simulations are given to verify the effectiveness of the proposed results.
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