具有数据丢失的离散复杂动态网络H_∞控制  

H_∞ control for discrete-time complex dynamical networks with data missing

作　　者：樊春霞[1] 周颖[1] 

机构地区：[1]南京邮电大学自动化学院,南京210003

出　　处：《计算机工程与应用》2012年第33期5-8,共4页Computer Engineering and Applications

基　　金：国家自然科学基金(No.60874091;No.61104103);江苏省高校自然科学基金(No.10KJB120001);南京邮电大学攀登计划(No.NY210013;No.NY210014)

摘　　要：考虑到复杂动态网络节点之间的信息传输存在数据丢失和信道干扰的现象,利用Bernoulli随机序列描述数据丢失,得到离散复杂动态网络模型。在此模型基础上,基于Lyapunov稳定性理论和随机分析方法,提出了一种新的H∞控制方案,使得复杂动态网络的控制输出满足一定的H∞性能指标。该控制方案以线性矩阵不等式形式描述,给出了存在数据丢失时,离散复杂动态网络的H∞控制器设计准则。以20个节点的离散复杂动态网络为例,进行了数值仿真。仿真结果表明所设计的H∞控制器能够使耦合数据丢失的复杂动态网络均方渐近稳定,且满足一定的H∞性能指标。A discrete-time complex dynamical network model is achieved in view of the phenomenon of data missing and channel disturbance during the information transmission among the nodes and by using data missing characterized with Bernoulli stochastic sequence.A novel H∞ control scheme is proposed for the above model based on Lyapunov stability theory combining with stochastic analysis such that the controlled outputs of complex dynamical network satisfy an H∞ performance index.An H∞ control criterion is established for discrete-time complex dynamical networks with data missing in the form of linear matrix inequalities.A numerical simulation is carried out by using a discrete-time complex dynamical network with 20 nodes.The simulation results demonstrate the effectiveness and validity of the proposed H∞ controller for a discrete-time complex dynamical network.

关 键 词：复杂动态网络 数据丢失 随机分析 H∞控制 线性矩阵不等式 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]