Filtering of Interval Type-2 Fuzzy Systems With Intermittent Measurements

• Published in: IEEE transactions on cybernetics Vol. 46; no. 3; pp. 668 - 678
• Main Authors: Li, Hongyi, Wu, Chengwei, Wu, Ligang, Lam, Hak-Keung, Gao, Yabin
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.03.2016; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Cybernetics; Data packet dropouts; Design engineering; filter design; Filtering; Filtration; Fuzzy; Fuzzy set theory; Fuzzy systems; interval type-2 (IT2) fuzzy systems; Intervals; nonlinear networked system; Nonlinearity; Quantization (signal); Stability analysis; Symmetric matrices; Uncertain systems; Uncertainty; Data packet dropouts; nonlinear networked system; interval type-2 (IT2) fuzzy systems; filter design
• ISSN: 2168-2267; 2168-2275
• DOI: 10.1109/TCYB.2015.2413134

In this paper, the problem of fuzzy filter design is investigated for a class of nonlinear networked systems on the basis of the interval type-2 (IT2) fuzzy set theory. In the design process, two vital factors, intermittent data packet dropouts and quantization, are taken into consideration. The parameter uncertainties are handled effectively by the IT2 membership functions determined by lower and upper membership functions and relative weighting functions. A novel fuzzy filter is designed to guarantee the error system to be stochastically stable with H∞ performance. Moreover, the filter does not need to share the same membership functions and number of fuzzy rules as those of the plant. Finally, illustrative examples are provided to illustrate the effectiveness of the method proposed in this paper.