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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 |
Published version: | http://dx.doi.org/10.1109/tsmcb.2012.2227721 |
Appears in Collections: | Aurora harvest Electrical and Electronic Engineering publications |
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