Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 25, Issue 5, Pages 1281-1292Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2016.2612260
Keywords
Fuzzy system; multi-instant observer; nonlinear system; state estimation; switching observer
Funding
- National Natural Science Foundation of China [61403209, 61533010]
- 333 project of Jiangsu Province
- Nanjing University of Posts and Telecommunications Science Fund [NY214201, 1311]
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This paper generalizes recent results on multi-instant observer design for discrete-time Takagi-Sugeno fuzzy systems through a valid ranking-based switching approach. The approach hereby develops a concentrated subdivision of spanning space composed of normalized fuzzy weighting functions and then substantially produces a new ranking-based switching mechanism. By taking advantage of this ranking-based switching mechanism, a class of new fuzzy multi-instant observers are achieved and more relaxed design conditions with respect to the recent work can be obtained for ensuring the asymptotically stability of the developed state estimation error system. Two illustrative examples are provided to validate the effectiveness of the result given in this study.
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