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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
ISSN2329-9266
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
DOI10.1109/JAS.2022.105416
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被引频次:14[WOS]   [WOS记录]     [WOS相关记录]
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
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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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