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Fuzzy Set-Membership Filtering for Discrete-Time Nonlinear Systems | |
Jingyang Mao; Xiangyu Meng; Derui Ding | |
发表期刊 | IEEE/CAA Journal of Automatica Sinica
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ISSN | 2329-9266 |
2022 | |
卷号 | 9期号:6页码:1026-1036 |
摘要 | In this article, the problem of state estimation is addressed for discrete-time nonlinear systems subject to additive unknown-but-bounded noises by using fuzzy set-membership filtering. First, an improved T-S fuzzy model is introduced to achieve highly accurate approximation via an affine model under each fuzzy rule. Then, compared to traditional prediction-based ones, two types of fuzzy set-membership filters are proposed to effectively improve filtering performance, where the structure of both filters consists of two parts: prediction and filtering. Under the locally Lipschitz continuous condition of membership functions, unknown membership values in the estimation error system can be treated as multiplicative noises with respect to the estimation error. Real-time recursive algorithms are given to find the minimal ellipsoid containing the true state. Finally, the proposed optimization approaches are validated via numerical simulations of a one-dimensional and a three-dimensional discrete-time nonlinear systems. |
关键词 | Affine model membership functions set-membership filtering stability Takagi-Sugeno fuzzy modeling |
DOI | 10.1109/JAS.2022.105416 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ia.ac.cn/handle/173211/47570 |
专题 | 学术期刊_IEEE/CAA Journal of Automatica Sinica |
推荐引用方式 GB/T 7714 | Jingyang Mao,Xiangyu Meng,Derui Ding. Fuzzy Set-Membership Filtering for Discrete-Time Nonlinear Systems[J]. IEEE/CAA Journal of Automatica Sinica,2022,9(6):1026-1036. |
APA | Jingyang Mao,Xiangyu Meng,&Derui Ding.(2022).Fuzzy Set-Membership Filtering for Discrete-Time Nonlinear Systems.IEEE/CAA Journal of Automatica Sinica,9(6),1026-1036. |
MLA | Jingyang Mao,et al."Fuzzy Set-Membership Filtering for Discrete-Time Nonlinear Systems".IEEE/CAA Journal of Automatica Sinica 9.6(2022):1026-1036. |
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