DocumentCode
1364902
Title
An Improved Input Delay Approach to Stabilization of Fuzzy Systems Under Variable Sampling
Author
Zhu, Xun-Lin ; Chen, Bing ; Yue, Dong ; Wang, Youyi
Author_Institution
Dept. of Math., Zhengzhou Univ., Zhengzhou, China
Volume
20
Issue
2
fYear
2012
fDate
4/1/2012 12:00:00 AM
Firstpage
330
Lastpage
341
Abstract
In this paper, we investigate the problem of stabilization for sampled-data fuzzy systems under variable sampling. A novel Lyapunov-Krasovskii functional (LKF) is defined to capture the characteristic of sampled-data systems, and an improved input delay approach is proposed. By the use of an appropriate enlargement scheme, new stability and stabilization criteria are obtained in terms of linear matrix inequalities (LMIs). Compared with the existing results, the newly obtained ones contain less conservatism. Some illustrative examples are given to show the effectiveness of the proposed method and the significant improvement on the existing results.
Keywords
Lyapunov methods; delays; fuzzy control; linear matrix inequalities; sampled data systems; stability; LMI; Lyapunov-Krasovskii functional; T-S fuzzy system; Takagi-Sugeno fuzzy system; enlargement scheme; fuzzy system stabilization; input delay approach; linear matrix inequalities; sampled-data fuzzy system; stabilization criteria; variable sampling; Asymptotic stability; Delay; Educational institutions; Fuzzy systems; Stability criteria; Symmetric matrices; Fuzzy control; Takagi–Sugeno (T–S) fuzzy systems; input delay approach; linear matrix inequalities (LMIs); sampled-data control;
fLanguage
English
Journal_Title
Fuzzy Systems, IEEE Transactions on
Publisher
ieee
ISSN
1063-6706
Type
jour
DOI
10.1109/TFUZZ.2011.2174242
Filename
6064888
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