Robust stabilization for uncertain rectangular descriptor fractional order T–S fuzzy systems

被引：1

作者：

Zhang X.-F. ^{[1
]}

Ai J. ^{[1
]}

Zhao Z.-L. ^{[2
]}

机构：

[1] College of Sciences, Northeastern University, Liaoning, Shenyang

[2] College of Information Science and Engineering, Northeastern University, Liaoning, Shenyang

来源：

Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2023年 / 40卷 / 01期

基金：

中国国家自然科学基金;

关键词：

dynamic compensator; linear matrix inequalities; rectangular descriptor fractional order systems; robust stabilization; T–S fuzzy model;

D O I：

10.7641/CTA.2021.10486

中图分类号：

学科分类号：

摘要：

An effective criterion is proposed for the robust stabilization for uncertain rectangular descriptor fractional order Takagi-Sugeno (T–S) fuzzy systems with 0 < α < 1. Firstly, by using a new T–S fuzzy dynamic compensator, the uncertain rectangular descriptor fractional order T–S fuzzy systems are transformed into the augmented uncertain square descriptor fractional order T–S fuzzy systems. Due to the introduction of the augmented plant, the gain matrices of the dynamic compensator can be solved by an equivalent static output feedback. Secondly, a fractional order derivative state feedback controller is constructed to normalize the augmented uncertain square descriptor fractional order T–S fuzzy systems. Thirdly, a sufficient condition of asymptotical stability is proposed for normalized systems, which have less conservatism and more concise form. Finally, a numerical example and a practical example are given to verify the effectiveness of the main result in this paper. © 2023 South China University of Technology. All rights reserved.

引用

页码：47 / 54

页数：7

共 25 条

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