Robust H∞ control for discrete-time fuzzy systems with infinite-distributed delays

Authors:
Guoliang Wei;Gang Feng;Zidong Wang
Affiliations:
School of Information Science and Technology, Donghua University, Shanghai, China;Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong;Department of Information Systems and Computing, Brunel University, Uxbridge, U.K.
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2009

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Abstract

This paper is concerned with the robust H∞ control problem for a class of discrete-timeTakagi-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.Asimulation example is exploited in order to illustrate the effectiveness of the proposed design procedures.