Stability Analysis and Stabilization of T-S Fuzzy Delta Operator Systems with Time-Varying Delay via an Input-Output Approach

被引：9

作者：

Zhong, Zhixiong ^{[1
]}

Sun, Guanghui ^{[1
]}

Karimi, Hamid Reza ^{[2
]}

Qiu, Jianbin ^{[1
]}

机构：

[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China

[2] Univ Agder, Fac Sci & Engn, N-4898 Grimstad, Norway

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

H-INFINITY CONTROL; ROBUST STABILIZATION; NONLINEAR-SYSTEMS; DESIGN; SHIFT;

D O I：

10.1155/2013/913234

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The stability analysis and stabilization of Takagi-Sugeno (T-S) fuzzy delta operator systems with time-varying delay are investigated via an input-output approach. A model transformation method is employed to approximate the time-varying delay. The original system is transformed into a feedback interconnection form which has a forward subsystem with constant delays and a feedback one with uncertainties. By applying the scaled small gain (SSG) theorem to deal with this new system, and based on a Lyapunov Krasovskii functional (LKF) in delta operator domain, less conservative stability analysis and stabilization conditions are obtained. Numerical examples are provided to illustrate the advantages of the proposed method.

引用

页数：14

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