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Model Following Adaptive Control for a Class of Complex Dynamic Networks Based on the Dynamics of Links

Xiaoxiao Li*, Yinhe Wang, and Lizhi Liu
International Journal of Control, Automation, and Systems, vol. 20, no. 7, pp.2202-2210, 2022

Abstract : 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.

Keyword : Complex dynamic networks, dynamics of links, model following adaptive control, Riccati matrix differential equation.

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