Robust fault diagnosis for non-Gaussian stochastic systems based on the rational square-root approximation model  

作　　者：YAO LiNa1 & WANG Hong2,3 1 School of Electrical Engineering,Zhengzhou University,Zhengzhou 450001,China 2 Control Systems Centre,University of Manchester,Manchester M60 1QD,UK 3 Institute of Automation,Chinese Academy of Sciences,Beijing 100080,China 

出　　处：《Science in China(Series F)》2008年第9期1281-1290,共10页中国科学（F辑英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 60534010);the Outstanding Overseas Chinese Scholars Fund of CAS (Grant No. 2004-1-4)

摘　　要：The task of robust fault detection and diagnosis of stochastic distribution control （SDC） systems with uncertainties is to use the measured input and the system output PDFs to still obtain possible faults information of the system. Using the rational square-root B-spline model to represent the dynamics between the output PDF and the input, in this paper, a robust nonlinear adaptive observer-based fault diagnosis algorithm is presented to diagnose the fault in the dynamic part of such systems with model uncertainties. When certain conditions are satisfied, the weight vector of the rational square-root B-spline model proves to be bounded. Conver- gency analysis is performed for the error dynamic system raised from robust fault detection and fault diagnosis phase. Computer simulations are given to demon- strate the effectiveness of the proposed algorithm.The task of robust fault detection and diagnosis of stochastic distribution control （SDC） systems with uncertainties is to use the measured input and the system output PDFs to still obtain possible faults information of the system. Using the rational square-root B-spline model to represent the dynamics between the output PDF and the input, in this paper, a robust nonlinear adaptive observer-based fault diagnosis algorithm is presented to diagnose the fault in the dynamic part of such systems with model uncertainties. When certain conditions are satisfied, the weight vector of the rational square-root B-spline model proves to be bounded. Conver- gency analysis is performed for the error dynamic system raised from robust fault detection and fault diagnosis phase. Computer simulations are given to demon- strate the effectiveness of the proposed algorithm.

关 键 词：SDC systems output probability density functions(PDFs) robust fault detection and diagnosis rational square-root B-spline functions 

分 类 号：TP302.8[自动化与计算机技术—计算机系统结构]