Robust State Observer Design for Dynamic Connection Relationships in Complex Dynamical Networks Zi-lin Gao*, Yin-heWang, Jiang Xiong, Li-li Zhang, and Wen-liWang
International Journal of Control, Automation, and Systems, vol. 17, no. 2, pp.336-344, 2019
Abstract : "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."
Keyword :
"Complex dynamical network, connection relationships subsystem, Riccati matrix differential equation, state observer."
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