Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 48, Issue 8, Pages 2426-2436Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2017.2739754
Keywords
Asynchronous dissipativity control; Markov jump systems; Takagi-Sugeno (T-S) fuzzy model
Categories
Funding
- National Natural Science Foundation of China [61573112, U1509217]
- Zhejiang Provincial Natural Science Foundation of China [LR16F030001]
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The problem of asynchronous dissipative control is investigated for Takagi-Sugeno fuzzy systems with Markov jump in this paper. Hidden Markov model is introduced to represent the nonsynchronization between the designed controller and the original system. By the fuzzy-basis-dependent and mode-dependent Lyapunov function, a sufficient condition is achieved such that the resulting closed-loop system is stochastically stable with a strictly (Q, S, R)-alpha-dissipative performance. The controller parameter is derived by applying MATLAB to solve a set of linear matrix inequalities. Finally, we present two examples to confirm the validity and correctness of our developed approach.
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