Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/80174
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Type: Journal article
Title: Induced l₂ filtering of fuzzy stochastic systems with time-varying delays
Other Titles: Induced l(2) filtering of fuzzy stochastic systems with time-varying delays
Author: Su, X.
Shi, P.
Wu, L.
Nguang, S.
Citation: IEEE Transactions on Cybernetics, 2013; 43(4):1251-1264
Publisher: IEEE
Issue Date: 2013
ISSN: 2168-2267
2168-2275
Statement of
Responsibility: 
Xiaojie Su, Peng Shi, Ligang Wu, and Sing Kiong Nguang
Abstract: This paper is concerned with the problem of induced l2 filter design for a class of discrete-time Takagi-Sugeno fuzzy Itô stochastic systems with time-varying delays. Attention is focused on the design of the desired filter to guarantee an induced l2 performance for the filtering error system. A new comparison model is proposed by employing a new approximation for the time-varying delay state, and then, sufficient conditions for the obtained filtering error system are derived by this comparison model. A desired filter is constructed by solving a convex optimization problem, which can be efficiently solved by standard numerical algorithms. Finally, simulation examples are provided to illustrate the effectiveness of the proposed approaches.
Keywords: Induced l22 filter design
scaled small gain (SSG) theorem
stochastic systems
Takagi–Sugeno (T-S) fuzzy systems
time delay.
Rights: © 2012 IEEE
DOI: 10.1109/TSMCB.2012.2227721
Appears in Collections:Aurora harvest
Electrical and Electronic Engineering publications

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