文献类型：期刊文献

英文题名：Membership-Function-Dependent Fault Detection Filtering Design for Interval Type-2 T-S Fuzzy Systems in Finite Frequency Domain

作者：Wang, Meng[1];Feng, Gang[2];Yan, Huaicheng[1];Qiu, Jianbin[3,4];Zhang, Hao[5]

机构：[1]East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China;[2]City Univ Hong Kong, Dept Biomed Engn, Hong Kong, Peoples R China;[3]Harbin Inst Technol, State Key Lab Robot & Syst, Harbin 150001, Peoples R China;[4]Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150080, Peoples R China;[5]Tongji Univ, Dept Control Sci & Engn, Shanghai 200092, Peoples R China

年份：2021

卷号：29

期号：9

起止页码：2760

外文期刊名：IEEE TRANSACTIONS ON FUZZY SYSTEMS

收录：;EI(收录号：20213710880672);WOS:【SCI-EXPANDED(收录号:WOS:000692553900029)】；

基金：This work was supported in part by the Research Grants Council of the Hong Kong Special Administrative Region of China under Grant CityU-11211818, in part by the National Natural Science Foundation of China under Grant 61873311, and in part by the Hong Kong, Macao, and Taiwan Science and Technology Cooperation Program of Shanghai under Grant 19510760200. (Corresponding author: Meng Wang.)

语种：英文

外文关键词：Fault detection; finite frequency performances; interval type-2 T-S fuzzy systems; membership function dependent

摘要：This article studies the problem of finite frequency fault detection filtering design for uncertain nonlinear systems based on interval type-2 Takagi-Sugeno fuzzy models. It is assumed that the frequencies of disturbances and faults are in finite frequency sets, respectively. The objective is to design an admissible filter such that the fault detection system is asymptotically stable with prescribed finite frequency H-infinity and H- performances. Based on Fourier transform and Projection lemma, finite frequency filtering synthesis results are obtained. Then, a novel membership-function-dependent finite frequency fault detection filtering design approach is proposed by using the information of the lower and upper membership functions together with the footprint of uncertainties. Two algorithms with linear matrix inequality constraints are developed to optimize the finite frequency H-infinity performance and the finite frequency H- performance, respectively. Finally, simulation studies are provided to show the effectiveness of the proposed method.