Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 20, Issue 1, Pages 22-31Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2011.2162850
Keywords
Fuzzy systems; H-infinity control; infinite-distributed delay; linear matrix inequality (LMI); reliable control
Funding
- National Creative Research Groups Science Foundation of China [60721062]
- National High Technology Research and Development Program of China under 863 Program [2006AA04 Z182]
- National Natural Science Foundation of China [60736021]
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In this paper, the problem of reliable H infinity control is investigated for discrete-time Takagi-Sugeno (T-S) fuzzy systems with infinite-distributed delay and actuator faults. A discrete-time homogeneous Markov chain is used to represent the stochastic behavior of actuator faults. In terms of a stochastic fuzzy Lyapunov functional, a sufficient condition is proposed to ensure that the resultant closed-loop system is exponentially stable in the meansquare sense with an H infinity performance index. Based on the derived condition, the reliable H infinity control problem is solved, and an explicit expression of the desired controller is also given. The case of no failure in the actuator is also considered. A numerical example is given to demonstrate that our results are effective and less conservative.
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