网络环境下的大系统鲁棒H_∞控制  

NETWORK-BASED ROBUST H_∞ CONTROL FOR LARGE-SCALE SYSTEMS

作　　者：周颖[1] 樊春霞[1] 杨富文[2] 臧强[3] 

机构地区：[1]南京邮电大学自动化学院,南京210003 [2]华东理工大学信息科学与工程学院,上海200237 [3]南京信息工程大学信息与控制学院,南京210044

出　　处：《系统科学与数学》2011年第6期709-719,共11页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(61004001);江苏省高校自然科学基金(10KJB12001);南京邮电大学攀登项目基金(NY210013);南京信息工程大学校科研基金(S8110046001)资助课题

摘　　要：针对网络环境下的一类同时具有测量数据和控制数据丢失的线性离散大系统,研究其H_∞状态反馈控制器设计问题.大系统由N个线性离散关联子系统构成,假设测量数据和控制数据丢失满足已知概率的Bernoulli分布,采用线性矩阵不等式方法给出了H_∞控制器存在的充分条件,所设计的控制器使得闭环系统均方指数稳定且满足指定的H_∞性能指标.最后通过仿真例子说明该方法的有效性.This paper is concerned with a state feedback Hacontroller design for a class of linear discrete-time large-scale system with both measurement data and control data missing simultaneously, based on networks, The large-scale system was modeled as interconnection of N linear discrete-time subsystems. The measurement data and control data missing are assumed to be a Bernoulli distributed sequence with known probability. Sufficient conditions for the existence of a H∞ controller are derived in terms of linear matrix inequality（LMI）, such that the closed-loop system exponentially stable in the sense of mean square and a prescribed H∞ performance is guaranteed. A numerical example is also provided to demonstrate the validity of the proposed design approach.

关 键 词：网络化控制系统 数据丢失 大系统 H∞控制 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]