Reliable H∞ Nonuniform Sampling Fuzzy Control for Nonlinear Systems With Time Delay

被引：44
作者：
Yang, Dedong [1 ]
Cai, Kai-Yuan [1 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Beihang Univ, Sch Automat Sci & Elect Engn, Beijing 100083, Peoples R China
来源：
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS | 2008年 / 38卷 / 06期
基金：
美国国家科学基金会;
关键词：
Fuzzy control; linear matrix inequality (LMI); nonuniform sampling; reliable control;
D O I：
10.1109/TSMCB.2008.2002692
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of reliable H. nonuniform sampling fuzzy control for nonlinear systems with time delay is investigated in this paper. Utilizing the input delay approach and the descriptor model transformation, an equivalent continuous-time generalized Takagi-Sugeno fuzzy system is obtained. Sufficient conditions for the existence of state feedback controller are derived in terms of linear matrix inequities (LMIs), which guarantee the requirements of H. performance criterion for the normal and possible actuator fault cases. In order to relax the conservatism of these obtained conditions, a feasible algorithm is provided to remove some slightly restricted conditions in LMIs. Finally, an illustrative example is given to show the validity of the proposed scheme.
引用
收藏
页码：1606 / 1613
页数：8
相关论文
共 31 条
[1]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[2]   Delay-dependent robust H∞ control for T-S fuzzy systems with time delay [J].
Chen, B ;
Liu, XP .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2005, 13 (04) :544-556
[3]   Reliable control design of fuzzy dynamic systems with time-varying delay [J].
Chen, B ;
Liu, XP .
FUZZY SETS AND SYSTEMS, 2004, 146 (03) :349-374
[4]  
Chen BS, 2000, IEEE T FUZZY SYST, V8, P249, DOI 10.1109/91.855915
[5]   A cone complementarity linearization algorithm for static output-feedback and related problems [J].
ElGhaoui, L ;
Oustry, F ;
AitRami, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (08) :1171-1176
[6]   Robust sampled-data stabilization of linear systems: an input delay approach [J].
Fridman, E ;
Seuret, A ;
Richard, JP .
AUTOMATICA, 2004, 40 (08) :1441-1446
[7]   An improved stabilization method for linear time-delay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1931-1937
[8]   Comments and further results on "A descriptor system approach to H∞ control of linear time-delay systems" [J].
Gao, HJ ;
Wang, CH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (03) :520-525
[9]   Stabilization of Nonlinear systems under variable sampling: A fuzzy control approach [J].
Gao, Huijun ;
Chen, Tongwen .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2007, 15 (05) :972-983
[10]   Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties [J].
He, Y ;
Wu, M ;
She, JH ;
Liu, GP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (05) :828-832
1234