Relaxed H∞ Stabilization Conditions for Discrete-Time Fuzzy Systems With Interval Time-Varying Delays

被引：8
|
作者：
Kim, Sung Hyun [1 ]
Park, PooGyeon [1 ]
机构：
[1] Pohang Univ Sci & Technol, Div Elect & Comp Engn, Pohang 790784, South Korea
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2009年 / 17卷 / 06期
关键词：
Fuzzy-weighting-dependent Lyapunov-Krasovskii functional (FWLKF); interval time-varying delays; parameterized linear matrix inequalities (PLMIs); relaxation technique; FEEDBACK CONTROLLER-DESIGN; DEPENDENT STABILITY ANALYSIS; NONLINEAR-SYSTEMS; NEUTRAL SYSTEMS; STATE;
D O I：
10.1109/TFUZZ.2009.2028016
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
To derive less-conservative delay-and range-dependent H-infinity stabilization conditions for discrete-time Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays, the use of a fuzzy-weighting dependent Lyapunov-Krasovskii functional (FWLKF), in which all variables are set to be affinely or quadratically dependent on fuzzy weighting functions, is proposed. Subsequently, parameterized linear matrix inequality (PLMI)-based H-infinity stabilization conditions are derived by following the free-weighting matrix approach. To fully exploit the convexity of fuzzy weighting functions, the derived PLMIs are sequentially replaced by a finite set of LMIs by considering all possible conditions associated with fuzzy weighting functions.
引用
收藏
页码：1441 / 1449
页数：9
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