Fuzzy Filter Design for Nonlinear Systems in Finite-Frequency Domain

被引：133

作者：

Ding, Da-Wei ^{[1
,2
]}

Yang, Guang-Hong ^{[2
,3
]}

机构：

[1] Univ Sci & Technol Beijing, Key Lab Adv Control Iron & Steel Proc, Minist Educ, Sch Informat Engn, Beijing 100083, Peoples R China

[2] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110004, Peoples R China

[3] Northeastern Univ, Key Lab Integrated Automat Proc Ind, Minist Educ, Shenyang 110004, Peoples R China

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2010年 / 18卷 / 05期

基金：

中国博士后科学基金;

关键词：

Basis-dependent Lyapunov function; finite frequency; fuzzy filter; Takagi-Sugeno (T-S) fuzzy systems; H-INFINITY CONTROL; DEPENDENT LYAPUNOV FUNCTIONS; OUTPUT-FEEDBACK CONTROL; GENERALIZED KYP LEMMA; DISCRETE-TIME-SYSTEMS; TAKAGI-SUGENOS FORM; QUADRATIC STABILITY; DYNAMIC-SYSTEMS; CONTROLLER-DESIGN; ROBUST H-2;

D O I：

10.1109/TFUZZ.2010.2058807

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 is concerned with the problem of fuzzy-filter design for discrete-time nonlinear systems in the Takagi-Sugeno (T-S) form. Different from existing fuzzy filters, the proposed ones are designed in finite-frequency domain. First, a so-called finite-frequency l(2) gain is defined that extends the standard l(2) gain. Then, a sufficient condition for the filtering-error system with a finite-frequency l(2) gain is derived. Based on the obtained condition, three fuzzy filters are designed to deal with noises in the low-, middle-, and high-frequency domain, respectively. The proposed fuzzy-filtering method can get a better noise-attenuation performance when frequency ranges of noises are known beforehand. An example about a tunnel-diode circuit is given to illustrate its effectiveness.

引用

页码：935 / 945

页数：11

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