一类具有时延和丢包的网络系统的H_∞均方指数稳定控制  

H_∞ Mean-square Exponentially Stable Control for a Class of Networked Systems with Time Delay and Packet Dropout

作　　者：姚合军[1] 袁野[2] 乔玥[1] YAO Hejun YUAN Ye QIAO Yue(School of Mathematics and Statistics,Anyang Normal University,Henan Anyang 455000,China School of Econornics,Anyang Normal University,Henan Anyang 455000,China)

机构地区：[1]安阳师范学院数学与统计学院,河南安阳455000 [2]安阳师范学院经济学院,河南安阳455000

出　　处：《河北师范大学学报（自然科学版）》2017年第4期288-294,共7页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(61073065);河南省教育厅自然科学基金(13A110023);河南省科技厅科技攻关项目(172102210162);安阳师范学院大学生创新基金项目(ASCX12017-2102)

摘　　要：考虑了具有随机网络诱导时延和丢包的不确定网络控制系统的H_∞均方指数稳定控制问题.通过把随机时延和丢包看做满足区间Bernoulli分布的随机等价时延,建立网络控制系统新模型.基于Lyapunov稳定性理论和线性矩阵不等式方法,给出使网络系统均方指数稳定的H_∞控制器设计方法.数值算例说明了所提方法的有效性.We consider the H∞ mean-square exponentially stable control problem for networked control systems with stochastic delays and data packet dropouts.The stochastic delays and data packet dropouts are viewed as equivalent delays,which are further viewed as a binary switching sequence satisfying interval Bernoulli distribution.We derive a new networked control system model for these networks.Applying the Lyapunov stability theory and the linear matrix inequality approach,we present a sufficient condition for designing aH∞ controller which makes the networked control systems to be mean-square exponentially stable.A numerical example is provided to demonstrate the validity of the proposed design.

关 键 词：网络控制系统 H∞控制 包丢失 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]