文献类型：期刊文献

英文题名：Fuzzy Control and Filtering for Nonlinear Singularly Perturbed Markov Jump Systems

作者：Wang, Yueying[1];Ahn, Choon Ki[2];Yan, Huaicheng[3,4];Xie, Shaorong[1]

机构：[1]Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China;[2]Korea Univ, Sch Elect Engn, Seoul 136701, South Korea;[3]East China Jiaotong Univ, Sch Elect & Automat Engn, Nanchang 330013, Jiangxi, Peoples R China;[4]East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China

年份：2021

卷号：51

期号：1

起止页码：297

外文期刊名：IEEE TRANSACTIONS ON CYBERNETICS

收录：;EI(收录号：20205309703443);WOS:【SCI-EXPANDED(收录号:WOS:000602709000025)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant 61973204, Grant 61703275, and Grant 61673178; in part by the Shanghai and HongKong-Macao-Taiwan Science and Technology Cooperation Project under Grant 19510760200; and in part by the China Postdoctoral Science Foundation under Grant 2019M660117. This article was recommended by Associate Editor J. Qiu.

语种：英文

外文关键词：Filtering; output-feedback control; piecewise-homogeneous Markov jump system; singularly perturbed system (SPS); Takagi-Sugeno fuzzy model

摘要：This article addresses the H-infinity control and filtering problems for Markov jump singularly perturbed systems approximated by Takagi-Sugeno fuzzy models. The underlying transition probabilities (TPs) are assumed to vary randomly in a finite set, which is characterized by a higher level TP matrix. The mode- and variation-dependent fuzzy static outputfeedback controller (SOFC) and filter are designed, respectively, to fulfill the control and filtering purposes. To facilitate the fuzzy SOFC synthesis, the closed-loop system is transformed into a fuzzy piecewise-homogeneous Markov jump singularly perturbed descriptor system (MJSPDS) by descriptor representation. A rigorous proof of mean-square exponential admissibility for the resulting fuzzy MJSPDS is presented. The criterion ensuring the mean-square exponential stability of the fuzzy filtering error system is further formed based on similar procedures. By setting the specific forms of the related matrix variables, the solutions for the predesigned fuzzy SOFC and filter are furnished, respectively. Finally, feasibility and validities of the developed fuzzy control and filtering results are verified by two practical examples.