An Improved Input Delay Approach to Stabilization of Fuzzy Systems Under Variable Sampling

被引:189
作者
Zhu, Xun-Lin [2 ,3 ]
Chen, Bing [4 ]
Yue, Dong [1 ,2 ]
Wang, Youyi [5 ]
机构
[1] Huazhong Univ Sci & Technol, Key Lab, Minist Educ Image Proc & Intelligent Control, Wuhan 430074, Peoples R China
[2] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China
[3] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China
[4] Qingdao Univ, Inst Complex Sci, Qingdao 266071, Peoples R China
[5] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore
基金
中国国家自然科学基金;
关键词
Fuzzy control; input delay approach; linear matrix inequalities (LMIs); sampled-data control; Takagi-Sugeno (T-S) fuzzy systems; H-INFINITY CONTROL; NETWORKED CONTROL-SYSTEMS; SLIDING-MODE-CONTROL; TIME-VARYING DELAY; NONLINEAR-SYSTEMS; STABILITY ANALYSIS; ROBUST STABILITY; LMI; CONTROLLER; OBSERVERS;
D O I
10.1109/TFUZZ.2011.2174242
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we investigate the problem of stabilization for sampled-data fuzzy systems under variable sampling. A novel Lyapunov-Krasovskii functional (LKF) is defined to capture the characteristic of sampled-data systems, and an improved input delay approach is proposed. By the use of an appropriate enlargement scheme, new stability and stabilization criteria are obtained in terms of linear matrix inequalities (LMIs). Compared with the existing results, the newly obtained ones contain less conservatism. Some illustrative examples are given to show the effectiveness of the proposed method and the significant improvement on the existing results.
引用
收藏
页码:330 / 341
页数:12
相关论文
共 40 条
[31]   FUZZY IDENTIFICATION OF SYSTEMS AND ITS APPLICATIONS TO MODELING AND CONTROL [J].
TAKAGI, T ;
SUGENO, M .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1985, 15 (01) :116-132
[32]   Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs [J].
Tanaka, K ;
Ikeda, T ;
Wang, HO .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1998, 6 (02) :250-265
[33]   Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: Quadratic stabilizability, H-infinity control theory, and linear matrix inequalities [J].
Tanaka, K ;
Ikeda, T ;
Wang, HO .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1996, 4 (01) :1-13
[34]   An approach to fuzzy control of nonlinear systems: Stability and design issues [J].
Wang, HO ;
Tanaka, K ;
Griffin, MF .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1996, 4 (01) :14-23
[35]   Observer-Based T-S Fuzzy Control for a Class of General Nonaffine Nonlinear Systems Using Generalized Projection-Update Laws [J].
Wang, Wei-Yen ;
Chien, Yi-Hsing ;
Lee, Tsu-Tian .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2011, 19 (03) :493-504
[36]   Piecewise Integral Sliding-Mode Control for T-S Fuzzy Systems [J].
Xi, Zhiyu ;
Feng, Gang ;
Hesketh, Tim .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2011, 19 (01) :65-74
[37]   Reliable H∞ Nonuniform Sampling Fuzzy Control for Nonlinear Systems With Time Delay [J].
Yang, Dedong ;
Cai, Kai-Yuan .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (06) :1606-1613
[38]   Robust H∞ control of uncertain fuzzy systems under time-varying sampling [J].
Yoneyama, Jun .
FUZZY SETS AND SYSTEMS, 2010, 161 (06) :859-871
[39]   Stability of networked control systems [J].
Zhang, W ;
Branicky, MS ;
Phillips, SM .
IEEE CONTROL SYSTEMS MAGAZINE, 2001, 21 (01) :84-99
[40]   Stabilization for Sampled-Data Neural-Network-Based Control Systems [J].
Zhu, Xun-Lin ;
Wang, Youyi .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2011, 41 (01) :210-221