Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 45, Issue 11, Pages 2449-2460Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2014.2374694
Keywords
H-infinity control; Markov jump systems; scaled small gain (SSG) theorem; Takagi-Sugeno (T-S) fuzzy systems; time-varying delays; unreliable communication links
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Funding
- National Natural Science Foundation of China [61021002, 61322301]
- Fundamental Research Funds for the Central Universities, China [HIT.BRETIII.201211, HIT.BRETIV.201306]
- Australian Research Council [DP140102180, LP140100471]
- 111 Project [B12018]
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This paper is concerned with H-infinity control problem for a class of discrete-time Takagi-Sugeno fuzzy Markov jump systems with time-varying delays under unreliable communication links. It is assumed that the data transmission between the plant and the controller are subject to randomly occurred packet dropouts satisfying Bernoulli distribution and the dropout rate is uncertain. Based on a fuzzy-basis-dependent and mode-dependent Lyapunov function, the existence conditions of the desired H-infinity state-feedback controllers are derived by employing the scaled small gain theorem such that the closed-loop system is stochastically stable and achieves a guaranteed H infinity performance. The gains of the controllers are constructed by solving a set of linear matrix inequalities. Finally, a practical example of robot arm is provided to illustrate the performance of the proposed approach.
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