Delta算子离散化系统H_∞故障检测滤波器设计  

Design of H_∞ Fault Detection Filter for Delta Operator-Formulated Discrete-Time System

作　　者：林瑞全[1] 陈四连[1] 黄韬[1] 王春迎[1] 

机构地区：[1]福州大学电气工程与自动化学院,福建福州350108

出　　处：《信息与控制》2011年第4期563-569,576,共8页Information and Control

基　　金：福建省自然科学基金资助项目(2008J04016)

摘　　要：基于线性矩阵不等式(LMI)方法,研究基于Delta算子离散化系统的H∞故障检测问题.把故障和扰动看作广义扰动,利用H∞控制理论,以LMI形式给出了Delta算子离散化系统的H∞故障检测滤波器存在的充分条件.仿真实例表明了设计方法的有效性,所设计的滤波器不但能保证闭环Delta算子系统系统渐近稳定,具有所期望的H∞性能,且保证快速采样时其对故障的检测效果接近于连续系统的检测效果.Based on linear matrix inequality（LMI）,the problem of H∞ fault detection for Delta operator-formulated discrete-time system is studied.The fault and the disturbance are regarded as the generalized disturbances.By using H∞ control theory,sufficient conditions for the existence of the H∞ fault detection filter for Delta operator-formulated discrete-time system are given in LMI forms.Then a numerical example is given to illustrate the effectiveness of the proposed approach.The designed filter can ensure that the resulted closed-loop Delta operator-formulated system is asymptotically stable and has the expected H∞ performance,and the fault detection results are closer to the results which are based on continuous systems when the sampling period is very small.

关 键 词：DELTA算子 故障检测滤波器 H∞滤波 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]