Robust stabilization of state delayed discrete-time Takagi-Sugeno fuzzy systems with input saturation via an anti-windup fuzzy design

We consider the robust stabilization problem for discrete-time Takagi-Sugeno （T S） fuzzy systems with time- varied delays subjected to input saturation. We design static and dynamic anti-windup fuzzy controllers to ensure the convergence of all admissible initial states within the domain of attracti...

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Bibliographic Details
Published inChinese physics B Vol. 21; no. 11; pp. 533 - 540
Main Author 宋晓娜 付主木 刘磊坡
Format Journal Article
LanguageEnglish
Published 01.11.2012
Subjects
Anti-windup
Convergence
Delay
Design engineering
Fuzzy logic
Fuzzy systems
Robust stabilization
Saturation
抗饱和
模糊系统
状态延迟
离散时间系统
线性矩阵不等式
设计方法
输入饱和
鲁棒镇定问题
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/11/118701

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Summary:We consider the robust stabilization problem for discrete-time Takagi-Sugeno （T S） fuzzy systems with time- varied delays subjected to input saturation. We design static and dynamic anti-windup fuzzy controllers to ensure the convergence of all admissible initial states within the domain of attraction. Based on the project lemma and classical sector conditions, the conditions for the existence of solutions to this problem are obtained and expressed in terms of a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design approach.
Bibliography:anti-windup controller, Takagi-Sugeno fuzzy model, time delay, input saturation
We consider the robust stabilization problem for discrete-time Takagi-Sugeno （T S） fuzzy systems with time- varied delays subjected to input saturation. We design static and dynamic anti-windup fuzzy controllers to ensure the convergence of all admissible initial states within the domain of attraction. Based on the project lemma and classical sector conditions, the conditions for the existence of solutions to this problem are obtained and expressed in terms of a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design approach.
11-5639/O4
Song Xiao-Na, Fu Zhu-Mu, and Liu Lei-Po Electronic and Information Engineering College, Henan University of Science and Technology, Luoyang 471003, China
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/11/118701