基于Kullback-Leibler距离的闭环系统传感器微小故障诊断  

Incipient fault diagnosis of sensors in the closed-loop system utilizing Kullback-Leibler divergence

作　　者：陶松兵 柴毅[1] 王一鸣[1] 吴光伟 TAO Song-bing;CHAI Yi;WANG Yi-ming;VI Ngo-quang(Key Laboratory of Complex System Safety and Control, Ministry of Education, College of Automation,Chongqing University, Chongqing 400030, China)

机构地区：[1]重庆大学复杂系统安全与控制教育部重点实验室自动化学院

出　　处：《控制理论与应用》2019年第6期909-914,共6页Control Theory & Applications

基　　金：国家自然科学基金项目(61633005,61374135)资助~~

摘　　要：在闭环控制系统中,当故障幅值较小时,由故障带来的影响会被控制量所掩盖.因此,闭环系统中的微小故障诊断实现更为复杂.本文针对闭环系统中的传感器故障,提出了基于Kullback-Leibler(KL)距离的微小故障在线检测与估计方法.本文首先介绍了KL距离的定义及其在多变量故障检测中的应用,然后提出了结合KL距离与快速移动窗口主成分分析(MWPCA)的在线微小故障检测与估计模型.在高斯分布的假设下,利用系统输入输出残差构造MWPCA的数据矩阵,然后通过在线更新数据矩阵主成分的均值与方差实现KL距离的在线更新,最终实现闭环系统中传感器的在线故障检测与估计.仿真实验表明,该方法能有效实现具有低故障-噪声比(FNR)特性的微小故障诊断.Due to the feedback control law in the closed-loop control system,changes caused by incipient faults could be covered especially when the fault amplitude is small.Accordingly,it is more complicated for the diagnosis of incipient faults in the closed-loop system.In this paper,a novel online fault detection and estimation method utilizing the Kullback- Leibler divergence (KLD) is proposed for sensors in the closed-loop system.First,the definition of the KL divergence and corresponding applications in the monitoring of multivariable systems are introduced.Combined with the KLD and fast moving window principal component analysis (MWPCA) method,the model of online incipient detection and estimation is established.Under the hypothesis of Gaussian distribution,the data matrix is constituted by residuals of system inputs and outputs.Then the value of KLD is updated online through computing the mean and variance of score vectors of selected principal components.Last,utilizing the proposed detection and estimation model,the online incipient fault detection and estimation for sensors in the closed-loop system are obtained.In the simulation,it is shown that the proposed method can deal with the incipient fault with lower fault-to-noise ratio (FNR) more efficiently.

关 键 词：故障诊断 微小故障 Kullback-Leibler距离 信号处理 

分 类 号：TP212[自动化与计算机技术—检测技术与自动化装置] TP13[自动化与计算机技术—控制科学与工程]