Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 17, Issue 5, Pages 1229-1230Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2009.2023446
Keywords
Feasibility; linear matrix inequality (LMI); static output feedback; Takagi-Sugeno (T-S) fuzzy systems
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Takagi-Sugeno (T-S) fuzzy-model-based static output-feedback controller design is a challenging issue due to the nonconvexity in the Lyapunov stability condition. Recently, a convexilied linear matrix inequality (LMI) condition was proposed for the problem by additionally importing as many equality constraints as the number of the fuzzy rules with a variable in the paper from the study of Fang et al. However, numerical experiences seem to imply the infeasibility of the proposed LMI. This letter shows that their LMI problem may be feasible.
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