Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 26, Issue 2, Pages 1011-1022Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2017.2702119
Keywords
l(2) - l(infinity) filter; multidensity quantizer; multiplicative sensor noises; networked control systems (NCSs); Takagi-Sugeno (T-S) fuzzy systems
Funding
- China National Funds for Distinguished Young Scientists [61425009]
- National Natural Science Foundation of China [61503106, U1509217]
- Guangdong Province Higher Vocational Colleges & Schools Pearl River Scholar
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This paper considers the problem of l(2) - l(infinity) filtering for discrete-time Takagi-Sugeno (T-S) fuzzy systems with multiplicative sensor noises over the channels with limited capacity. A more general multidensity logarithmic quantizer is designed to increase the utilization of the communication resources, and a sojourn-time-dependent Markov chain is used to model the variation of the quantizer density. Then, the fuzzy basis-, quantizer density-, and sojourn-time-dependent filter is designed for T-S fuzzy systems on the basis of the quantized measurements to improve the performance of the filter. Sufficient conditions are proposed to guarantee that the filtering error system is exponentially mean-square stable and achieves a prescribed l(2) - l(infinity) performance. Finally, three examples are given to illustrate the developed new design techniques.
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