文献类型：期刊文献

英文题名：A Novel Fuzzy-Affine-Model-Based Finite Frequency Filtering Design for 2-D Nonlinear Systems

作者：Wang, Meng[1];Qiu, Jianbin[2];Yan, Huaicheng[1]

机构：[1]East China Univ Sci & Technol, Key Lab Smart Mfg Energy Chem Proc, Minist Educ, Shanghai 200237, Peoples R China;[2]Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150080, Peoples R China

年份：2024

卷号：54

期号：7

起止页码：4517

外文期刊名：IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS

收录：;EI(收录号：20241715960078);WOS:【SCI-EXPANDED(收录号:WOS:001281272500051)】；

基金：No Statement Available

语种：英文

外文关键词：Nonlinear systems; Frequency-domain analysis; Two-dimensional displays; Linear systems; Design methodology; Analytical models; Switches; 2-D fuzzy models; 2-D nonlinear systems; finite frequency H infinity performance; piecewise affine (PWA) filter

摘要：This work investigates the problem of piecewise affine (PWA) filtering design for two-dimensional (2-D) Roesser nonlinear systems with finite frequency performance based on Takagi-Sugeno (T-S) fuzzy affine models. The goal is to synthesize a 2-D PWA filter such that the resulting filtering error system is asymptotically stable and simultaneously satisfies a finite frequency H-infinity performance . With the utilization of the state space partition knowledge on 2-D fuzzy models, a novel PWA filter is obtained. By exploiting the 2-D Fourier transform technique to convert 2-D disturbances into their frequency domain counterparts, finite frequency H(infinity )performance analysis conditions are established, and then by applying projection lemma, an admissible frequency information-based filter design approach is proposed for 2-D Roesser nonlinear systems. Finally, the effectiveness of the PWA finite frequency filtering synthesis approach is validated through simulation studies on two examples.