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This correspondence studies stability analysis and stabilization for discrete-time Takagi and Sugeno fuzzy systems with state delay. First, a new fuzzy Lyapunov-Krasovskii functional (LKF) is constructed to derive a delay-dependent stability condition for open-loop fuzzy systems. Then, a delay-dependent stabilization approach based on a nonparallel distributed compensation scheme is provided for closed-loop fuzzy systems. Both state feedback and observer-based control cases are considered. The proposed stability and stabilization conditions are represented in terms of linear matrix inequalities (LMIs), which can be solved efficiently by using existing LMI optimization techniques. Finally, two numerical examples are given to illustrate the effectiveness of the proposed method
Published in:
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
(Volume:36
,
Issue:
4
)
Date of Publication: Aug. 2006
- Page(s):
- 954 - 962
- ISSN :
- 1083-4419
- INSPEC Accession Number:
- 8998070
- Digital Object Identifier :
- 10.1109/TSMCB.2005.862485
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 17 July 2006
- Issue Date :
- Aug. 2006
- Sponsored by :
- IEEE Systems, Man, and Cybernetics Society
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