Robust Control of T-S fuzzy systems with Time-varying delay: New approach.

被引:2
作者
Gassara, Hamdi [1 ,2 ]
El Hajjaji, Ahmed [1 ]
Chaabane, Mohamed [2 ]
机构
[1] Univ Picardie Jules Verne, Modeling Informat & Syst Lab, MIS, 7 Rue Moulin Neuf, F-80000 Amiens, France
[2] Univ Sfax, Natl Sch Engn, Dept Elect Engn, Res Unit Automat Control, Sfax, Tunisia
来源
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年
关键词
LMIs: Linear Matrix Inequalities; PDC: Parallel Distributed Compensation; LKF : Lyapunov- Krasovskii Functional; T-S : Takagi-Sugeno; DEPENDENT STABILITY ANALYSIS; GUARANTEED COST CONTROL; H-INFINITY CONTROL; NONLINEAR-SYSTEMS; STABILIZATION;
D O I
10.1109/CDC.2009.5400079
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 aims to design a controller to robustly stabilize uncertain nonlinear systems with time-varying delay and norm bounded uncertainties via Takagi-Sugeno (T-S) fuzzy model. The stabilization conditions are given in the form of Linear Matrix Inequalities using a single Lyapunov-Krasovskii Functional (LKF) combining the introduction of some relaxation matrices and only one tuning parameter. In comparison with the existing techniques in the literature, the proposed approach gives two great advantages. The first one is the reduction of computational complexity when the number of IF-THEN rules, r, is big. The second one concerns the conservatism reduction. An example is given to show the effectiveness and the merits of the design procedure.
引用
收藏
页码:4168 / 4173
页数:6
相关论文
共 29 条
[1]  
[Anonymous], FUZZY OPTIM DECISION
[2]   On stabilizability of stochastic fuzzy systems [J].
Boukas, E. K. ;
El-Hajjaji, A. .
2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 :4362-4366
[3]   Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach [J].
Cao, YY ;
Frank, PM .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2000, 8 (02) :200-211
[4]  
Chadli M., 2006, FUZZY SETS SYSTEMS
[5]   Fuzzy guaranteed cost control for nonlinear systems with time-varying delay [J].
Chen, B ;
Liu, XP .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2005, 13 (02) :238-249
[6]   New delay-dependent stabilization conditions of T-S fuzzy systems with constant delay [J].
Chen, Bing ;
Liu, Xiaoping ;
Tong, Shaocheng .
FUZZY SETS AND SYSTEMS, 2007, 158 (20) :2209-2224
[7]   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-+
[8]  
Gassara H., 2008, STABILIT SYSTMES FLO
[9]   Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays [J].
Guan, XP ;
Chen, CL .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2004, 12 (02) :236-249
[10]  
Guerra T.M., 2006, FUZZY SETS SYSTEMS