基于Delta算子模型的时滞系统故障检测滤波器  

Fault Detection Filter for Delta Operator-Based Systems with Time-Delay

作　　者：张端金[1] 孟姗[1] 郭皓[1] 管莉莉[1] 

机构地区：[1]郑州大学信息工程学院,河南郑州450001

出　　处：《郑州大学学报（工学版）》2012年第2期14-18,共5页Journal of Zhengzhou University（Engineering Science）

基　　金：河南省自然科学研究计划项目(2010A510017);郑州大学研究生科研基金项目(10L10502)

摘　　要：研究了基于Delta算子描述的状态时滞系统鲁棒故障检测滤波器的设计问题.在传统移位算子描述的滤波器设计基础上,给出Delta算子描述的时滞系统滤波器模型,利用线性矩阵不等式(LMI)方法,导出了此类系统的故障检测滤波器存在的充分条件和显示表达式,当该LMI具有可行解时,可得到Delta算子描述的时滞系统最优鲁棒故障检测滤波器.仿真结果表明:连续时滞系统和离散时滞系统的故障检测问题可纳入到Delta算子的统一框架中.This paper studies the design problem of robust fault detection filters for Delta operator discrete systems with state delays.Based on the traditional filter using the shift operator,a new filter model to fault detection for Delta operator systems with time-delay is given.Sufficient conditions for the existence of the robust fault detection filter and its explicit expressions are developed in terms of linear matrix inequalities（LMIs） approach.When LMIs are feasible,the optimal robust fault detection filters of Delta operator formulated systems are obtained.The presented results can bring the fault detection for continuous time systems and discrete time systems into the unified Delta operator framework.The simulations show the effectiveness of the proposed approach.

关 键 词：离散时滞系统 故障检测 DELTA算子 滤波器模型 

分 类 号：TN713[电子电信—电路与系统] TP273[自动化与计算机技术—检测技术与自动化装置]