不确定奇异时滞系统的鲁棒H∞故障诊断滤波器设计  

Designing Robust H_∞Fault Detection Filter for Singular Time-delay Systems with Uncertainty

作　　者：陈莉[1] 钟麦英[1] 

机构地区：[1]山东大学控制科学与工程学院

出　　处：《自动化学报》2008年第8期943-949,共7页Acta Automatica Sinica

基　　金：国家自然科学基金(60774071);教育部博士点基金(20050422036);山东省博士基金(2005BS011007);山东省自然科学基金(Y2004A05，Y2004A07)资助~~

摘　　要：研究一类受参数不确定性和干扰影响的奇异时滞系统鲁棒故障诊断滤波器设计问题.把基于观测器的故障诊断滤波器作为残差产生器,将故障诊断滤波器设计归结为H_∞滤波问题,使产生的残差信号即为故障的H_∞估计,给出了鲁棒H_∞故障诊断滤波器存在的充分条件,并利用锥面互补线性化迭代算法得到了故障诊断滤波器设计的线性矩阵不等式求解方法.算例验证了算法的有效性.The robust fault detection filter design problem for a class of singular time-delay systems with parameter uncertainty and disturbance is studied. Using an observer-based fault detection filter as the residual generator, the fault detection filter design is converted to an H∞ filtering problem such that the generated residual is the H∞ estimation of the fault. Sufficient conditions are given to guarantee the H∞ fault detection filter exists. By using the cone complementarity linearization iterative algorithm, the linear matrix inequality method to design the fault detection filter is given. A numerical example is given to illustrate the effectiveness of the proposed algorithm.

关 键 词：奇异时滞系统 故障诊断 滤波器 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TN713[自动化与计算机技术—控制科学与工程]