Fuzzy-Model-Based Finite Frequency Fault Detection Filtering Design for Two-Dimensional Nonlinear Systems  

作　　者：Meng Wang Huaicheng Yan Jianbin Qiu Wenqiang Ji 

机构地区：[1]Key Laboratory of Smart Manufacturing in Energy Chemical Process,Ministry of Education,School of Information Science and Engineering,East China University of Science and Technology,Shanghai 200237,China [2]Research Institute of Intelligent Control and Systems,School of Astronautics,Harbin Institute of Technology,Harbin 150080,China [3]School of Artificial Intelligence,Hebei University of Technology,Tianjin 300401,China [4]IEEE

出　　处：《IEEE/CAA Journal of Automatica Sinica》2024年第10期2099-2110,共12页自动化学报（英文版）

基　　金：supported in part by the National Natural Science Foundation of China(62373152,62333005,U21B6001,62073143,62273121);in part by the Natural Science Funds for Excellent Young Scholars of Hebei Province in 2022(F2022202014);in part by Science and Technology Research Project of Colleges and Universities in Hebei Province(BJ2020017);in part by the China Postdoctoral Science Foundation(2022M711639,2023T160320).

摘　　要：This article studies the fault detection filtering design problem for Roesser type two-dimensional(2-D)nonlinear systems described by uncertain 2-D Takagi-Sugeno(T-S)fuzzy models.Firstly,fuzzy Lyapunov functions are constructed and the 2-D Fourier transform is exploited,based on which a finite frequency fault detection filtering design method is proposed such that a residual signal is generated with robustness to external disturbances and sensitivity to faults.It has been shown that the utilization of available frequency spectrum information of faults and disturbances makes the proposed filtering design method more general and less conservative compared with a conventional nonfrequency based filtering design approach.Then,with the proposed evaluation function and its threshold,a novel mixed finite frequency H_(∞)/H_(-)fault detection algorithm is developed,based on which the fault can be immediately detected once the evaluation function exceeds the threshold.Finally,it is verified with simulation studies that the proposed method is effective and less conservative than conventional non-frequency and/or common Lyapunov function based filtering design methods.

关 键 词：Fault diagnosis finite frequency specifications mixed H_(∞)/H_(-)performance two-dimensional nonlinear systems 

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]