Abstract
A sampling-based dynamic event-triggered strategy is proposed for the synchronization control of continuous complex networks with uncertainties and delayed coupling, taking into account a bit-rate constraint in node communication. First, a synchronization error system is established by integrating the dynamics of complex networks with those of an isolated node. To conserve limited network bandwidth resources, a sampling-based dynamic event-triggered strategy is designed. By introducing bit-rate constraints to characterize the communication limitations of the system, the available bit rate for each node is allocated using an average allocation protocol. Subsequently, a binary encoding–decoding method is developed to transmit the triggered data, and the decoded signals are utilized to design the controller. Then, a closed-loop synchronization error system is derived. Given that coding errors are inevitable, an exponentially ultimately bounded definition of synchronization error is introduced. The coupling and transmission delays within the system are addressed by constructing Lyapunov-Krasovskii (L-K) functions. Utilizing Lyapunov stability theory and other technical theorems, the exponentially ultimately bounded condition for the closed-loop system is obtained. Based on this condition, the co-design of the controller gain and triggering parameters is achieved. In addition, the explicit relationship between synchronization error and bit rate is presented. Finally, the effectiveness of the proposed method is validated through three numerical examples.
Published Version
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