有参数失配的双层网络的实用同步

Practical synchronization of two-layer networkswith parameter mismatch

针对一类具有参数失配的双层网络同步问题以及控制过程中的资源浪费问题,设计了动态事件触发牵制控制器,根据Lyapunov稳定性理论,推导出了双层网络实现有层间误差界同步的矩阵形式充分判据与层间同步误差界的估计式,证明了动态事件触发机制不存在芝诺现象。使用2个数值例子,验证了理论的正确性,并分别讨论了参数失配和控制增益对控制器的触发次数以及多种误差界的影响。得到了控制器可减少更新次数、节约资源且具有鲁棒性的结论。

This paper designs a dynamic event trigger pinning controller to solve the synchronization problem of two-layer networks with parameter mismatch and resource waste in the control process.According to Lyapunov stability theory,the sufficient criterion in the matrix form for synchronization with the inter-layer error bound in two-layer networks and the estimation formula for the inter-layer synchronization error bound are derived,which proves that the dynamic event triggering mechanism does not exist Zeno phenomenon.Two numerical examples are used to verify the correctness of the theory in this paper.The effects of parameter mismatch and control gain on the trigger times of the controller and various error bounds are discussed.It is concluded that the controller can reduce the number of updates,save resources and have robustness.