测量丢失概率不确定的网络化系统的鲁棒故障检测

Robust fault detection for networked systems with uncertain missing measurements probabilities

研究一类具有测量数据丢失概率不确定的网络化系统的鲁棒故障检测问题,系统用概率属于一个区间的Bernoulli随机二进制切换序列来描述测量数据丢失.设计一个基于观测器的鲁棒故障检测滤波器(RFDF),对于区间内的每一个概率,RFDF残差误差输出对故障敏感且对具有L2有界的未知干扰输入有一定的鲁棒性,应用线性矩阵不等式方法,给出并证明了此RFDF的存在条件.最后通过例子说明了该方法的有效性.

A problem of robust fault detection for a class of networked systems with uncertain missing measurements probabilities is discussed. The packed-data loss is modeled as a Bernoulli random binary switching sequence with an unknown conditional probability distribution that is assumed to be in an interval. An observer-based fault detection filter under all missing measurements probabilities in the interval can be designed to guarantee residual output sensitive to fault and robust to L2-norm bounded unknown input. A sufficient condition is derived in terms of linear matrix inequality （LMI）. A numerical example illustrates the effectiveness of the proposed approach.