Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 22, Issue 2, Pages 380-394Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2013.2256913
Keywords
Dissipativity; model transformation; stochastic perturbation; Takagi-Sugeno (T-S) fuzzy systems; time-varying delay
Funding
- National Natural Science Foundation of China [61174126, 61222301]
- Program for New Century Excellent Talents in University [NCET-09-0063]
- Fundamental Research Funds for the Central Universities [HIT.BRET2.2010011]
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This paper is concerned with the problems of dissipativity analysis and synthesis for discrete-time Takagi-Sugeno fuzzy systems with stochastic perturbation and time-varying delay. First, a novel model transformation method is introduced to pull the time-varying delay uncertainty out of the original system. Consequently, the transformed model is composed of a linear time-invariant system and a norm-bounded uncertain subsystem. By using this model transformation method combined with the Lyapunov-Krasovskii technique, sufficient conditions of the dissipativity are established. Then, a fuzzy controller is designed to guarantee the dissipative performance of the closed-loop system. Finally, three examples are presented: one shows the effectiveness of model transformation method, the second performs the comparison with alternative approaches, and the third illustrates the applicability of the proposed dissipative control methods.
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