变时滞不确定复杂动态网络的指数同步控制  

Exponential Synchronization Control of Uncertain Complex Dynamic Networks with Time-Varying Delay

作　　者：罗毅平[1] 舒黎 周笔锋 LUO Yi-ping;SHU Li;ZHOU Bi-feng(Key Laboratory of Wind Power Generation and Control,Hunan Institute of Engineering,Xiangtan 411100,Hunan Province,China;Collaborative Innovation Center of Wind Power Equipment and Power Transformation in Hunan Province,Xiangtan 411100,Hunan Province,China;School of Wind Energy,Hunan Electric Career Academy,Xiangtan 411100,Hunan Province,China)

机构地区：[1]湖南工程学院风电发电机组及控制重点实验室,湖南湘潭411100 [2]湖南省风电装备与电能变换协同创新中心,湖南湘潭411100 [3]湖南电气职业学院风能学院,湖南湘潭411100

出　　处：《应用科学学报》2018年第5期859-869,共11页Journal of Applied Sciences

基　　金：国家自然科学基金(No.11372107)资助

摘　　要：针对一类具有变时滞非线性耦合的不确定复杂动态网络,研究其指数同步问题.同时考虑复杂网络模型中变时滞和网络的不确定性,在节点的动态变化及节点间的耦合均为非线性条件下,假设不确定项满足匹配条件,变时滞未知但有界,通过构造合适的LyapunovKrasovskii泛函,利用线性矩阵不等式等分析方法设计了合适的反馈控制器,得到一类具有变时滞的不确定复杂动态网络指数同步的新判据.最后,通过仿真验证了所提出控制设计的有效性.This paper focuses on the exponential synchronization problems of uncertain complex dynamic networks with time-varying delay.Both time-varying delays and network uncertainties of the complex dynamic network model are considered.As the dynamic changes of nodes and the coupling between nodes are nonlinear,under the condition that the uncertainty satisfies the matching condition and that the delay is unknown but bounded,a new criterion of the exponential synchronization is derived by constructing a suitable Lyapunov-Krasovskii function with the linear matrix inequality(LMI)approach.And the appropriate feedback controllers are designed.Finally,numerical simulation validates the effectiveness of the proposed method.

关 键 词：复杂网络 变时滞 不确定 指数同步 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]