Stabilizability of linear quadratic state feedback for uncertain fuzzy time-delay systems

被引:100
|
作者
Wang, RJ [1 ]
Lin, WW
Wang, WJ
机构
[1] Chien Kuo Inst Technol, Dept Elect Engn, Changhua 500, Taiwan
[2] Natl Cent Univ, Dept Elect Engn, Chungli 320, Taiwan
来源
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS | 2004年 / 34卷 / 02期
关键词
fuzzy control; linear matrix inequalities (LMIs); Razumikhin theorem; T-S fuzzy model; uncertainty;
D O I
10.1109/TSMCB.2003.818437
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 investigates the problem of designing a fuzzy state feedback controller to stabilize an uncertain fuzzy system with time-varying delay. Based on Lyapunov criterion and Razumikhin theorem, some sufficient condition's are derived under which the parallel-distributed fuzzy control can stabilize the whole uncertain fuzzy time-delay system asymptotically. By Schur complement, these sufficient condition can be easily transformed into the problem of LMIs. Furthermore, the tolerable bound of the perturbation is also obtained. A practical example based on the continuous stirred tank reactor (CSTR) model is given to illustrate the control design and its effectiveness.
引用
收藏
页码:1288 / 1292
页数:5
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