文献类型：期刊文献

英文题名：Fuzzy-Affine-Model-Based Filtering Design for Continuous-Time Roesser-Type 2-D Nonlinear Systems

作者：Wang, Meng[1];Lam, Hak-Keung[2];Qiu, Jianbin[3];Yan, Huaicheng[1,4];Li, Zhichen[1]

机构：[1]East China Univ Sci & Technol, Minist Educ, Key Lab Smart Mfg Energy Chem Proc, Shanghai 200237, Peoples R China;[2]Kings Coll London, Dept Engn, London WC2R 2LS, England;[3]Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150080, Peoples R China;[4]Chengdu Univ, Sch Informat Sci & Engn, Chengdu 610106, Peoples R China

年份：2023

卷号：53

期号：5

起止页码：3220

外文期刊名：IEEE TRANSACTIONS ON CYBERNETICS

收录：;EI(收录号：20221712038608);WOS:【SCI-EXPANDED(收录号:WOS:000785743400001)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant 62003139, Grant U21B6001, Grant 62073143, Grant 61922063, and Grant 62173146; in part by the Natural Science Foundation of Shanghai under Grant 20ZR1415200 and Grant 22ZR1416200; and in part by the Shanghai and Hong Kong-Macau-Taiwan Science and Technology Cooperation Project under Grant 19510760200. This article was recommended by Associate Editor J. Q. Gan. (Corresponding author: Meng Wang.)

语种：英文

外文关键词：Nonlinear systems; Symmetric matrices; Lyapunov methods; Hidden Markov models; Fuzzy systems; Frequency modulation; Design methodology; 2-D fuzzy affine models; convex optimization; filtering design; Roesser-type 2-D nonlinear systems

摘要：This article tackles the problem of filtering design for continuous-time Roesser-type 2-D nonlinear systems via Takagi-Sugeno (T-S) fuzzy affine models. The aim is to design an admissible piecewise affine (PWA) filter such that the filtering error system is asymptotically stable with a prescribed disturbance attenuation level. First, 2-D Roesser nonlinear systems are approximated by a kind of 2-D fuzzy affine models with norm-bounded uncertainties. Then, the premise variable space of the 2-D fuzzy affine systems is partitioned into two classes of subspaces, that is: 1) crisp regions and 2) fuzzy regions. For each region, boundary continuity matrices and characterizing matrices are constructed by utilizing the space partition information and 2-D structure. After that, novel piecewise Lyapunov functions are constructed, based on which together with S-procedure, the asymptotic stability with $ H_{infinity}$ performance is guaranteed for the filtering error system. By the projection lemma and some elegant convexification techniques, the PWA $ H_{infinity}$ filtering design conditions are obtained. Finally, the less conservativeness and effectiveness of the proposed approach over a common Lyapunov function-based one are illustrated by simulation studies.