具有测量数据丢失的大系统鲁棒H_∞控制  

Robust H_∞ control for large-scale systems with missing measurements

作　　者：周颖[1] 杨富文[2] 樊春霞[1] 

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

出　　处：《控制与决策》2012年第7期1109-1112,共4页Control and Decision

基　　金：国家自然科学基金项目(61104103;61004001;60904025);江苏省自然科学基金项目(BK2011826);江苏省高校自然科学基金项目(10KJB12001);南京邮电大学攀登项目(NY210013;NY210014)

摘　　要：研究一类具有测量数据丢失的大系统分散H∞控制器设计问题.针对由个子系统构成的线性离散大系统,假设测量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分散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.通过仿真例子验证了该方法的有效性.A decentralized H∞ controller design for a class of large-scale systems with missing measurements is considered in this paper. The linear discrete-time large-scale system is modeled as interconnection of N subsystems. The occurrence of missing measurement is assumed to be a Bernoulli distributed sequence with known probability. Sufficient conditions for the existence of decentralized Hoo controller are derived in terms of linear matrix inequality（LMI）, such that the closed-loop system is exponentially stable in the sense of mean square, and a prescribed H∞ performance is guaranteed. A numerical example is also provided to show the effectiveness of the proposed design approach.

关 键 词：测量数据丢失 大系统 H∞控制 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]