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Xiaoxiao Li,Yinhe Wang,Lizhi Liu 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.7
This paper investigates the model following adaptive control problem for a class of time-varying complex dynamic networks. The complex dynamic network in this paper can be considered to be composed of two subsystems, the node subsystem and the link subsystem, which are mutually coupled. The dynamics of node subsystem are described by the state vector differential equation and the dynamics of link subsystem are described by the Riccati matrix differential equation. By using the information from the coupling matrix term in dynamics of link subsystem, the adaptive controller is synthesized for node subsystem such that each node is guaranteed to asymptotically track its reference model. Moreover, the results in this paper show that when the state of controlled node subsystem is tracking its reference model, the link subsystem also has the certain dynamic tracking target. Compared with the existing literature, the model matching conditions in this paper are greatly simplified due to the important effect of the dynamics of links. Finally, the given illustrated example is used to verify the validity of the results in this paper.
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Qingfeng Chen,Yinhe Wang,Xiao Tang 제어·로봇·시스템학회 2023 International Journal of Control, Automation, and Vol.21 No.4
This paper investigates the problem of asymptotical outer synchronization for two complex dynamic networks (CDNs), one of which is called as the drive network and another is as the response network. Compared with the existing literature, the unknown bounded state interaction between the two CDNs is focused with the unknown and non-dissipative outer coupling configuration matrices of the drive-response networks, and thus the dynamic models of CDNs with interaction are proposed more general in structural form. Then, combined with the matrix analysis and Lyapunov stability methods, the relevant mathematical assumptions are proposed based on actual engineering background, with which the adaptive outer synchronization controller is synthesized in this paper. Therefore, the matrix straightening operation in the existing literature is avoided in this paper, which leads to the clearer structure of the designed controller. Finally, the effectiveness of the proposed method is verified by numerical simulation with the comparative example.
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