Improved Approach to Robust H∞ Stabilization of Discrete-Time T-S Fuzzy Systems With Time-Varying Delays

被引：33

作者：

Kim, Sung Hyun ^{[1
]}

机构：

[1] Pohang Univ Sci & Technol, Div Elect & Comp Engn, Pohang 790784, South Korea

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2010年 / 18卷 / 05期

关键词：

Fuzzy-weighting-dependent Lyapunov-Krasovskii functional (FWLKF); nonparallel distributed compensation (non-PDC) scheme; robustness; time-varying delay; DEPENDENT STABILITY ANALYSIS; FEEDBACK CONTROLLER-DESIGN; OUTPUT-FEEDBACK; STATE; ALGORITHM;

D O I：

10.1109/TFUZZ.2010.2062523

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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)).

引用

页码：1008 / 1015

页数：8

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