期刊
IEEE TRANSACTIONS ON FUZZY SYSTEMS
卷 26, 期 4, 页码 1866-1877出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2017.2754999
关键词
Asynchronous filter; mode-dependent delays; quantization; Takagi-Sugeno (T-S) fuzzy Markov jump systems (FMJSs)
资金
- Australian Research Council [DP170102644]
- Science Fund for Creative Research Groups of the National Natural Science Foundation of China [61621002]
- China National Funds for Distinguished Young Scientists [61425009]
- National Natural Science Foundation of China [U1611262, 61773131, U1509217]
- Zhejiang Provincial Natural Science Foundation of China [LR16F030001]
This paper focuses on the dissipativity-based asynchronous filtering problem for a class of discrete-time Takagi-Sugeno fuzzy Markov jump systems subject to randomly occurred quantization. Considering the random fluctuations of network conditions, the randomly occurred quantization is introduced to describe the quantization phenomenon appearing in a probabilistic way. To take full advantage of the partial information of system modes for the desired system performance, we adopt the asynchronous filter in which mode transition matrix is nonhomo-geneous. The mode-dependent time-varying delays are introduced, which have different bounds for different system modes. Via fuzzymode-dependent Lyapunov functional approach that can reduce conservatism, a sufficient condition on the existence of the asynchronous filter is derived such that the filtering error system is stochastically stable and strictly (Q, S, R)-dissipative. Then, the gains of the filter are obtained by solving a set of linear matrix inequalities (LMIs). An example is utilized to illustrate the validity of the developed filter design technique where the relationships among optimal dissipative performance indices, delays, quantization parameter, and the degree of asynchronous jumps are given.
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