Robust State Observer Design for Dynamic Connection Relationships in Complex Dynamical Networks
Robust State Observer Design for Dynamic Connection Relationships in Complex Dynamical Networks
复制标题
复杂动态网络中动态连接关系的鲁棒状态观测器设计
DOI：
10.1007/s12555-018-0315-3
复制
发表时间：
2019-02-01
影响因子：
3.2
通讯作者：
Wang, Wen-li
中科院分区：
文献类型：
--
作者：
Gao, Zi-lin;Wang, Yin-he;Wang, Wen-li
具有时变链路的复杂动态网络可以看作是由两个相互耦合的子系统组成的，这两个子系统分别称为节点子系统和连接关系子系统。现有的研究中，已经讨论了利用已知的连接关系来设计节点子系统的状态观测器。然而，在现有的研究中，没有显示的连接关系子系统的状态观测器的设计。在实际应用中，连接关系子系统还具有社会网络中的关系强度、卷筒纸卷绕系统中卷筒纸张力大小等状态变量。因此，为连接关系子系统设计状态观测器也具有实际意义。本文提出了一种新的状态观测器的数学建模的Riccati矩阵微分方程的连接关系子系统。观测器利用连接关系子系统和节点状态子系统的输出测量。与利用已知连接关系的节点子系统状态观测器相比，连接关系子系统状态观测器利用了节点子系统的状态，并以矩阵微分方程的形式表示。利用李雅普诺夫稳定性理论，证明了在一定的数学条件下，连接关系子系统的状态观测器是渐近的。最后通过仿真验证了该方法的有效性。
The complex dynamical network with the time-varying links may be regarded to be composed of the two mutually coupled subsystems, which are called the nodes subsystem and the connection relationships subsystem respectively. Designing the state observer for the nodes subsystem has been discussed in some existing researches by employing the known connection relationships. However, the state observer design for the connection relationships subsystem is not shown in the existing researches. In practical applications, the connection relationships subsystem possesses also the state variables such as the relationship strength in social network, the size of web tension in the web winding system. Therefore, designing the state observer for the connection relationships subsystem is also of practical significance. In this paper, a novel state observer is proposed for the connection relationships subsystem modeled mathematically by the Riccati matrix differential equation. The observer utilizes the output measurements of the connection relationships subsystem and the state of nodes subsystem. Compared with the state observer of nodes subsystems which employs the known connection relationships, the state observer for the connection relationships subsystem employs the state of nodes subsystem and is represented in form of the matrix differential equation. By using Lyapunov stability theory, it is proved in this paper that the state observer for the connection relationships subsystem is asymptotical under certain mathematic conditions. Finally, the illustrative simulation is given to show the efficiency and validity of the proposed method in this paper.