Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 18, Issue 5, Pages 1008-1015Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2010.2062523
Keywords
Fuzzy-weighting-dependent Lyapunov-Krasovskii functional (FWLKF); nonparallel distributed compensation (non-PDC) scheme; robustness; time-varying delay
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This study is concerned with the robust stabilization problem for a class of discrete-time Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. To improve the conditions for the solvability of the stabilization problem, a nonquadratic Lyapunov-Krasovskii functional with a triple-summation term is established, and a nonparallel distributed compensation (non-PDC) scheme is adopted along with thematrixtransformation technique. In addition, an appropriate free-weightingmatrix method is proposed to exploit novel slack variables for null sum terms, especially resulting from Sigma(i)(x(i+1) - x(i))(T) (center dot)(x(i+1) + x(i)).
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