Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 17, Issue 1, Pages 224-232Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2008.2006621
Keywords
Fuzzy systems; H-infinity control; infinite-distributed delays; linear matrix inequality (LMI); parameter uncertainties
Funding
- Engineering and Physical Sciences Research Council (EPSRC) [GR/S27658/01]
- Royal Society of the U.K.
- Nuffield Foundation of the U.K. [NAL/00630/G]
- Alexander von Humboldt Foundation of Germany
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This paper is concerned with the robust H. control problem for a class of discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delays and uncertain parameters. The time delay is assumed to be infinitely distributed in the discrete-time domain, and the uncertain parameters are norm-bounded. By using the linear matrix inequality (LMI) technique, sufficient conditions are derived for ensuring the exponential stability as well as the H. performance for the closed-loop fuzzy control system. It is also shown that the controller gain can be characterized in terms of the solution to a set of LMIs, which can be easily solved by using standard software packages. A simulation example is exploited in order to illustrate the effectiveness of the proposed design procedures.
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