具有测量数据丢失的大系统状态观测器设计  

State Observer Design for Large-scale Systems with Missing Measurements

作　　者：杨书明[1] 周颖[1] 樊春霞[1] 林金星[1] 

机构地区：[1]南京邮电大学自动化学院,江苏南京210046

出　　处：《南京邮电大学学报（自然科学版）》2011年第6期80-84,共5页Journal of Nanjing University of Posts and Telecommunications：Natural Science Edition

基　　金：国家自然科学基金(61004001);江苏省高校自然科学基金(10KJB12001);南京邮电大学攀登计划(NY210013;NY210014;NY207091)资助项目

摘　　要：文中研究一类具有测量数据部分丢失的大系统状态观测器设计问题。针对一类由N个子系统构成的线性离散关联大系统,假设测量数据丢失满足已知概率的Bernoulli分布,给出了一种状态观测器设计新方法,使原系统和观测器之间的状态误差满足均方指数稳定。采用线性矩阵不等式方法,给出了状态观测器存在的充分条件,通过求解线性矩阵不等式得到观测器参数。最后通过仿真例子说明该方法的有效性。This paper is concerned with the state observer design for large-scale systems with missing measurements. The linear discrete-time large-scale system was modeled as interconnection of N subsystems. The occurrence of missing measurements is assumed to be a Bernoulli distributed sequence with a known probability. A new state observer is designed to make the mean square error between the state of o- riginal system and state observer exponentially stable. Sufficient conditions are derived in terms of linear matrix inequalities （LMIs） for the existence of a state observer. A numerical example is also provided to demonstrate the validity of the proposed design approach.

关 键 词：大系统 测量数据丢失 状态观测器 均方指数稳定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]