Control Synthesis of Discrete-Time T-S Fuzzy Systems Based on a Novel Non-PDC Control Scheme

被引：173

作者：

Xie, Xiangpeng ^{[1
]}

Ma, Hongjun ^{[2
]}

Zhao, Yan ^{[3
]}

Ding, Da-Wei ^{[4
,5
]}

Wang, Yingchun ^{[2
]}

机构：

[1] Henan Polytech Univ, Sch Elect Engn & Automat, Jiaozuo 454000, Peoples R China

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

[3] Shenyang Inst Engn, Dept Automat Control Engn, Shenyang 110136, Peoples R China

[4] Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China

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

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2013年 / 21卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Discrete-time system; homogenous polynomial; nonparallel distributed compensation (non-PDC) control scheme; parameter-dependent Lyapunov function; Takagi-Sugeno (T-S) fuzzy model; NONQUADRATIC STABILIZATION CONDITIONS; DISTRIBUTED COMPENSATION LAW; GUARANTEED COST CONTROL; TAKAGI-SUGENOS FORM; NONLINEAR-SYSTEMS; QUADRATIC STABILITY; LMI RELAXATIONS; MODELS; DELAY;

D O I：

10.1109/TFUZZ.2012.2210049

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 proposes relaxed stabilization conditions of discrete-time nonlinear systems in the Takagi-Sugeno (T-S) fuzzy form. By using the algebraic property of fuzzy membership functions, a novel nonparallel distributed compensation (non-PDC) control scheme is proposed based on a new class of fuzzy Lyapunov functions. Thus, relaxed stabilization conditions for the underlying closed-loop fuzzy system are developed by applying a new slack variable technique. In particular, some existing fuzzy Lyapunov functions and non-PDC control schemes are special cases of the new Lyapunov function and fuzzy control scheme, respectively. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method.

引用

页码：147 / 157

页数：11

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