离散时间切换系统在丢失测量下的异步H_∞滤波  

H_∞ Filtering for Discrete-Time Switched Linear Systems with Missing Measurement Under Asynchronous Switching

作　　者：杨建栋[1] 池小波[1] 李薇[1] 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《中北大学学报（自然科学版）》2012年第1期88-92,共5页Journal of North University of China(Natural Science Edition)

基　　金：国家自然科学基金资助项目(90820014);山西省自然科学基金资助项目(2009011016-1)

摘　　要：针对离散时间切换系统研究输出测量具有丢失的情形下切换系统的异步H∞滤波问题.传感器的丢失测量满足伯努利分布,丢失的概率是已知的常数.利用切换Lyapunov泛函和平均驻留时间的方法,对给定的丢失测量在H∞意义下以线性矩阵不等式的形式给出滤波误差系统指数均方稳定的充分条件,并设计了一个指数均方稳定的H∞滤波器.最后通过一个仿真实例证明了所给方法的有效性.The asynchronous H∞ filtering of discrete-time switched linear systems with missing measurement was investigated.The missing measurement from sensors could be described with Bernoulli distribution,where missing probability was a given constant.By using switched Lyapunov function and average dwell time method,some sufficient conditions of exponential mean square stability were obtained in forms of linear matrix inequalities for the filtering error system,in which the given missing measurement was of H∞.An exponentially mean square stable H∞ filter was designed and a numerical example was provided to show the effectiveness of the proposed approach.

关 键 词：切换系统 丢失测量 异步切换 H∞滤波 平均驻留时间 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]