Delay‐dependent robust L2–L∞ filtering of T‐S fuzzy systems with time‐varying delays |
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Authors: | Ze Li Shengyuan Xu Yun Zou Yuming Chu |
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Affiliation: | 1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, People's Republic of China;2. Department of Mathematics, Huzhou Teacher's College, Huzhou, Zhejiang 313000, People's Republic of China |
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Abstract: | This paper considers the problem of robust delay‐dependent L2–L∞ filtering for a class of Takagi–Sugeno fuzzy systems with time‐varying delays. The purpose is to design a fuzzy filter such that both the robust stability and a prescribed L2–L∞ performance level of the filtering error system are guaranteed. A delay‐dependent sufficient condition for the solvability of the problem is obtained and a linear matrix inequality (LMI) approach is developed. A desired filter can be constructed by solving a set of LMIs. Copyright © 2009 John Wiley & Sons, Ltd. |
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Keywords: | L2– L∞ filtering linear matrix inequalities robust filtering Takagi‐Sugeno fuzzy systems time‐delay systems |
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