Design of observer-based H∞ control for fuzzy time-delay systems

被引：74

作者：

Lin, Chong ^{[1
,2
]}

Wang, Qing-Guo ^{[1
]}

Lee, Tong Heng ^{[1
]}

He, Yong ^{[1
,3
]}

机构：

[1] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 119260, Singapore

[2] Qingdao Univ, Inst Complex Sci, Qingdao 266071, Peoples R China

[3] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2008年 / 16卷 / 02期

基金：

中国国家自然科学基金;

关键词：

H-infinity control; observer; Takagi-Sugeno (T-S) fuzzy systems; time-delay;

D O I：

10.1109/TFUZZ.2006.889934

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper addresses the problem of observer-based H. control for nonlinear systems with time-varying delay represented by Takagi-Sugeno (T-S) fuzzy model. It presents a single-step linear matrix inequality (LMI) method for the fuzzy control design, which overcomes the drawback of the two-step LMI approach often encountered in the literature. The derivation relies mainly on a proposed matrix decoupling technique using which a resultant matrix inequality can be equivalently converted to strict LMIs. When restricted to delay-free fuzzy systems, the present results improve or reduce to existing ones. Illustrative examples show the effectiveness and merits of the present results.

引用

页码：534 / 543

页数：10

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