Fault detection and isolation for linear parameter-varying systems with time-delays:a geometric approach  

作　　者：Zhao ZHANG Xiao HE 

机构地区：[1]Department of Automation,Tsinghua University,Beijing 100084,China

出　　处：《Science China(Information Sciences)》2023年第7期158-172,共15页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.61733009);National Key Research and Development Program of China(Grant No.2022YFB25031103);Huaneng Group Science and Technology Research Project。

摘　　要：Fault detection and isolation(FDI)problems for linear parameter-varying(LPV)systems with state time-delays are studied in this paper.By defining the concept of unobservability subspace and designing its calculation algorithm,the geometric approach is introduced to the time-delay LPV systems.Utilizing Wirtinger-based integral inequality,we obtain a sufficient condition to solve the so-called H∞-based residual generation problem for the LPV systems.In this paper,we consider two cases:the time delay is known and the time delay is unknown but its estimated value can be obtained.Corresponding observers are proposed for both cases based on the geometric approach and H∞techniques.Lyapunov-Krasovskii functional is utilized to handle the time-delays and Wirtinger’s inequality is employed to reduce conservatism.Numerical examples are presented to demonstrate the effectiveness of the proposed approach.

关 键 词：GEOMETRIC INEQUALITY PARAMETER 

分 类 号：TP277[自动化与计算机技术—检测技术与自动化装置]