Control Synthesis of T-S Fuzzy Systems Based on a New Control Scheme

被引：63
作者：
Dong, Jiuxiang [1 ,2 ]
Yang, Guang-Hong [1 ,2 ]
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China
[2] Northeastern Univ, Key Lab Integrated Automat Proc Ind, Minist Educ, Shenyang 110819, Peoples R China
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2011年 / 19卷 / 02期
基金：
中国博士后科学基金;
关键词：
Fuzzy control; fuzzy Lyapunov function; linear matrix inequalities (LMIs); nonlinear systems; Takagi-Sugeno (T-S) fuzzy models; NONQUADRATIC STABILIZATION CONDITIONS; PIECEWISE LYAPUNOV FUNCTIONS; H-INFINITY CONTROL; STABILITY CONDITIONS; QUADRATIC STABILIZATION; NONLINEAR-SYSTEMS; RELAXED STABILITY; DYNAMIC-SYSTEMS; LMI CONDITIONS; DESIGN;
D O I：
10.1109/TFUZZ.2010.2096470
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 studies the control synthesis problem of Takagi-Sugeno (T-S) fuzzy systems. By splitting the premise variable spaces and using the properties of fuzzy sets, a new control scheme is proposed based on a new class of fuzzy Lyapunov functions, and a convex condition for designing fuzzy controllers is given, where the new fuzzy Lyapunov functions and fuzzy controllers are constructed based on the split subspaces. In particular, some existing fuzzy Lyapunov functions and control schemes are special cases of the new Lyapunov function and control scheme, respectively. Numerical examples are given to illustrate the effectiveness of the proposed method.
引用
收藏
页码：323 / 338
页数：16
相关论文
共 34 条
[1]   Relaxed LMI conditions for closed-loop fuzzy systems with tensor-product structure [J].
Arino, Carlos ;
Sala, Antonio .
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2007, 20 (08) :1036-1046
[2]   TP model transformation as a way to LMI-based controller design [J].
Baranyi, P .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2004, 51 (02) :387-400
[3]   Analysis and design for a class of complex control systems .2. Fuzzy controller design [J].
Cao, SG ;
Rees, NW ;
Feng, G .
AUTOMATICA, 1997, 33 (06) :1029-1039
[4]   Stability analysis and design for a class of continuous-time fuzzy control systems [J].
Cao, SG ;
Rees, NW ;
Feng, G .
INTERNATIONAL JOURNAL OF CONTROL, 1996, 64 (06) :1069-1087
[5]   H-infinity control of nonlinear continuous-time systems based on dynamical fuzzy models [J].
Cao, SG ;
Rees, NW ;
Feng, G .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1996, 27 (09) :821-830
[6]   Dynamic output feedback control synthesis for continuous-time T-S fuzzy systems via a switched fuzzy control scheme [J].
Dong, Jiuxiang ;
Yang, Guang-Hong .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (04) :1166-1175
[7]   H∞ Controller Synthesis via Switched PDC Scheme for Discrete-Time T-S Fuzzy Systems [J].
Dong, Jiuxiang ;
Yang, Guang-Hong .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (03) :544-555
[8]   A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems [J].
Fang, Chun-Hsiung ;
Liu, Yung-Sheng ;
Kau, Shih-Wei ;
Hong, Lin ;
Lee, Ching-Hsiang .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2006, 14 (03) :386-397
[9]   Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions [J].
Feng, G .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2003, 11 (05) :605-612
[10]   Approaches to quadratic stabilization of uncertain fuzzy dynamic systems [J].
Feng, G .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (06) :760-769
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