Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 20, Issue 6, Pages 1001-1011Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2012.2187299
Keywords
Continuous-time Takagi-Sugeno (T-S) fuzzy systems; H-infinity filtering; linear fractional parametric uncertainties; linear matrix inequalities (LMIs); nonfragile
Funding
- Funds of National Science of China [61104071]
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This paper is concerned with the H-infinity filtering problem for continuous-time Takagi-Sugeno (T-S) fuzzy systems. Different from existing results for fuzzy H-infinity filtering, the proposed ones are toward uncertain fuzzy systems with linear fractional parametric uncertainties. Attention is focused on the design of a fuzzy filter such that the filtering error system preserves a prescribed H-infinity performance, where the filter to be designed is assumed to have gain variations. By a descriptor representation approach, two sufficient conditions for the H-infinity filter design are proposed in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of the desired filter is given. A simulation example will be given to show the efficiency of the proposed methods.
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