State feedback control of continuous-time T-S fuzzy systems via switched fuzzy controllers

被引:54
作者
Dong, Jiuxiang [1 ]
Yang, Guang-Hong [1 ,2 ]
机构
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110004, Peoples R China
[2] Northeastern Univ, Key Lab Integrated Automat Proc Ind, Minist Educ, Shenyang 110004, Peoples R China
基金
中国国家自然科学基金;
关键词
Takagi-Sugeno (T-S) fuzzy systems; switched fuzzy controllers; state feedback; H-infinity control; D stability; linear matrix inequalities (LMIs);
D O I
10.1016/j.ins.2007.11.002
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper studies the problem of state feedback control of continuous-time T-S fuzzy systems. Switched fuzzy controllers are exploited in the control design, which are switched based on the values of membership functions, and the control scheme is an extension of the parallel distributed compensation (PDC) scheme. Sufficient conditions for designing switched state feedback controllers are obtained with meeting an H-infinity norm bound requirement and quadratic D stability constraints. It is shown that the new control design method provides less conservative results than the corresponding ones via the parallel distributed compensation (PDC) scheme. A numerical example is given to illustrate the effectiveness of the proposed method. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:1680 / 1695
页数:16
相关论文
共 31 条
[1]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[2]   H∞ output feedback control of discrete-time fuzzy systems with application to chaos control [J].
Chen, CL ;
Feng, G ;
Sun, D ;
Guan, XP .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2005, 13 (04) :531-543
[3]   H infinity design with pole placement constraints: An LMI approach [J].
Chilali, M ;
Gahinet, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (03) :358-367
[4]   Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi-Sugeno's form [J].
Ding, BC ;
Sun, HX ;
Yang, P .
AUTOMATICA, 2006, 42 (03) :503-508
[5]   Observer-based robust control of uncertain fuzzy dynamic systems with pole placement constraints: An LMI approach [J].
El Messoussi, Wissam ;
Pages, Olivier ;
El Hajjaji, Ahmed .
2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 :2203-+
[6]   H∞ controller design of fuzzy dynamic systems based on piecewise Lyapunov functions [J].
Feng, G .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2004, 34 (01) :283-292
[7]  
Gahinet P., 1995, LMI Control Toolbox
[8]   LPV control of a 6-DOF vehicle [J].
Ghersin, AS ;
Peña, RSS .
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2002, 10 (06) :883-887
[9]   LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form [J].
Guerra, TM ;
Vermeiren, L .
AUTOMATICA, 2004, 40 (05) :823-829
[10]   Stable fuzzy control system design with pole-placement constraint: an LMI approach [J].
Hong, SK ;
Nam, Y .
COMPUTERS IN INDUSTRY, 2003, 51 (01) :1-11