A synthesis of observer-based controller for stabilizing uncertain T-S fuzzy systems

被引：21

作者：

Wang, Wen-June ^{[1
]}

Van-Phong Vu ^{[1
]}

Chang, Wei ^{[1
]}

Sun, Chung-Hsun ^{[1
]}

Yeh, Shan-Ju ^{[1
]}

机构：

[1] Natl Cent Univ, Dept Elect Engn, Jhong Li City 32001, Taiwan

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2016年 / 30卷 / 06期

关键词：

Nonlinear system; fuzzy control system; observer-based controller; uncertainties; LMIs; NONLINEAR DYNAMIC-SYSTEMS; TRACKING-CONTROL DESIGN; MARKOVIAN JUMP SYSTEMS; TIME-DELAY SYSTEMS; H-INFINITY CONTROL; ROBUST STABILIZATION; VARYING DELAY; MODEL;

D O I：

10.3233/IFS-162092

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 considers the robust stabilization problem of uncertain Takagi-Sugeno (T-S) fuzzy systems in which some or all state variables are unavailable. The considered uncertainties of the system are bounded and satisfy a certain condition. A sufficient condition for the state estimation and robust stabilization of the closed system is proposed. Based on the condition, the observer is designed and observer-based controller is synthesized. In the observer and controller synthesis process, with the aid of some special derivations, Bilinear Matrix Inequalities (BMIs) are converted into Linear Matrix Inequalities (LMIs) in one step such that LMI tools can be used to solve the problem. Finally, both numerical and practical examples are given to verify the effectiveness of the proposed approach.

引用

页码：3451 / 3463

页数：13

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