Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 47, Issue 9, Pages 2377-2388Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2016.2584087
Keywords
Actuator faults; dissipativity; Markov jump systems (MJSs); reliable control; Takagi-Sugeno (T-S) fuzzy systems
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Funding
- China National Funds for Distinguished Young Scientists [61425009]
- Australian Research Council [DP140102180, LP140100471]
- National High Technology Research and Development Program of China (863 Program) [2012AA041703]
- National Natural Science Foundation of China [61503106, 61573112, 61304072, U1509217]
- Zhejiang Provincial Natural Science Foundation of China [R1100716, LR16F030001]
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This paper is concerned with the problem of reliable dissipative control for Takagi-Sugeno fuzzy systems with Markov jumping parameters. Considering the influence of actuator faults, a sufficient condition is developed to ensure that the resultant closed-loop system is stochastically stable and strictly (Q, S, R)-dissipative based on a relaxed approach in which mode-dependent and fuzzy-basis-dependent Lyapunov functions are employed. Then a reliable dissipative control for fuzzy Markov jump systems is designed, with sufficient condition proposed for the existence of guaranteed stability and dissipativity controller. The effectiveness and potential of the obtained design method is verified by two simulation examples.
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