一类离散时滞不确定随机系统H_∞静态输出反馈控制  

H_∞ static output feedback control for a class of uncertain discrete-time stochastic systems with time delay

作　　者：王武[1] 杨艳华[1] 许冠冕[1] 杨富文[1] 

机构地区：[1]福州大学电气工程与自动化学院,福州350002

出　　处：《控制与决策》2007年第9期989-993,999,共6页Control and Decision

基　　金：国家自然科学基金项目(60474049;60604027);福建省自然科学基金项目(A0510009)

摘　　要：在工业过程控制中,由于测量数据的网络传输或传感器暂时失效等原因可能造成测量数据的丢失,这种数据的丢失具有随机性.假设数据丢失过程可由一已知概率分布的Bernoulli序列进行描述.针对这样一类离散时滞不确定随机系统,利用线性矩阵不等式方法设计了H∞静态输出反馈控制器,所设计的静态输出反馈控制器使得闭环系统是均方指数稳定的且具有给定的H∞性能.仿真结果表明了设计方法的有效性.During the process of industrial control, data are transmitted by network or sensors fail temporarily, so the system measurements may be unavailable at any sample time. A Bernoulli distributed white sequence is used to describe missing data and the probability of the occurrence of missing data is assumed to be known. The problem of H∞ static output-feedback control is designed for a class of uncertain discrete-time stochastic systems with time delay. By the output-feedback control designed, the systems are exponentially mean-square stable and a prescribed H∞ performance is guaranteed by using linear matrix inequalities （LMIs）. The simulation result shows the validity of the proposed design approach.

关 键 词：离散不确定系统 时滞 数据丢失 H∞静态输出反馈 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]